ML19329E821

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Changes in Usage Patterns Since Inverted Rates, Fourth Quarterly Rept.Updates Preceeding Repts.Summary of Time of Day Study Per Mpsc Order U-4840 Encl
ML19329E821
Person / Time
Site: Midland
Issue date: 07/01/1977
From:
CONSUMERS ENERGY CO. (FORMERLY CONSUMERS POWER CO.)
To:
References
NUDOCS 8006180599
Download: ML19329E821 (144)


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l CHANGES IN USEAGE PATTERNS SINCE INVEETED PATES FOURTH QU ART 2RT.T REP 02'"

JULY 1, 1977 THis D'0CUMENT CONTAI P0OR QUAUTY PAGES Cuht#Sdd21 CrCaie Tb r^ 7h.dO_?t.ndb NOTE: THIS BEPoa SUPPLA NIS ANY ?RELIMIN A RY AN ALYSIS AND CO:!CL*fSICNS ?dESENTED IN THE THECEEDI'fG REPORTS.

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In t ro duc t io n.

In April

1976, Consumers Power Company introduced inve rted rates for its residuntial custoners. This report describes the data, sethodology, tr.d findings of a study to idantif y any statistically significant changes is residen tial electric use patterns a f ter the introduction of these inverted rates. Tha data used in this study consist of about 94,000 custoser records drawn tros the custcmer riles between May 1.976 and April 1'377 A second sasple of over 19,000 customer records has bean drivn fros 1975 customer files in order to examine any changes in residential useage a f ter the ca to cha nge introduced in.Tanuary 1975. Each of these 132,000 customer records has been sorted into one cf three classe acccrding to its average level or use over a nineteen ionth period.

Actua l useage has been a dj usted

ce both heating and cooling degree days within e :ch division.

Both graphical displays and regression

analysis, presented in thia
report, have been used to identify statistically significant changes in useage since tha intradaction ci the inverted rates.

Sunsar' 21 maior Findings. This analysis shows that actual useaJe in. 1976/77 di:fered very little from expec ted useage give n weather conditions, even aftar inve rteu rates.

The deviations that do exis t displa y little pa ttern and are gencrally not materially lifferent from the deviations experienced berare A pril 1976. ' ate Group A (non-spa ce hesting) c ustomars tended to use slightly less electricity than expected between augcst 1976 and November 1976, resulting in an overall

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av era Je decrease of anout' 1*. over the entire period May 1976 to O

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A pril 19 77. 2a te G roup A-1 (space heating) custosers generall7 showed no consistent decrease during the period since the introduction of inverted rates.

However, large A-1 custoaces with water heating did display some indication of decreasing useage.

The overall impression presanted by thoso data is that in ve r tud estes have had little if any effect on usea ge, regardless of the level of use of the custocor. In o ther Oo rds, the respoaca cf castomers to list year's rate change seems to have been very inelastic for all levels et use.

The simple of 1975 records' was used to o roa den the inves tiga tion cf response to rate change.s. These da ta were used to as timats any changes that might have occured af ter tnc flat rate increase introduced in Januar7 1975. Tor this analycas, the February 1975 December 1975 peried* was compairsd to January 1974 through Ja nuary 1975. This a nalysis, like the analy sis of the 1976/77 d a ta,

took into acco un t weather and seasonal effects. 24cc Gecup A custeners withcut electric water heating showe.1 no material change in useage -- loss than +14. Rate Group a

custosers with wa*er heating displayed a small drop in useage averaginJ -2.17 to

-1. 4 f. depending on' the use class. Rato Group A-1 custoners without electric water hea ting showed average changes La a simila r range, -1.95 to

+0.75. Ho wever, Rate Group A-1 customers with wa te r heating showed a larger decrease in average useaJe, rangin; from -17,7*, to -5.Si during the period

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considered. It is difficult to' determine from these data whether

2 this drop in censumption was in response to the Janusty 1975 ra ta inc rease or whether Lt was sotivsted by other considera tions.

Those findings strengthen the imprassion, given by th a 19 76/77 sampla, of generally irolastic response to rate cha ng as, with some evidence of conservation displayect by 1-1 custosers with water heating.

Unscristian el da ta. The principle source of data for this stud y co nsis ts of large subsa mples of residential customer records Artwn sonthly from the company's customer file.

A separate cussample has been collected for each of the twelve sonths feca aay 1976 throu7a April 1977.

Each of these su csa mplas' describes about 2,600 Ea te A customers and about 5,200 ast e A-1 customers.

A ltoge th e r, the twelve suosamples 94,000 customers. Thesa 9k,000 customer records descrioc about are heroin refered to collectively as "the 1976/77 sample."

Detailed information aoout subsam ple sizes is provided in Appendix A.

In addition, two subsamples of 19,000 cuatoner records were drawn from the July 1975 and December 1975 customer files. These subsamplos ars described in Appendir D.

Co llectively, these 39,000 custoser records are refaced to as "the 1975 sample."

Tha escord of each customer provides his cate class, geographical division, and usa during the current month and each

.of the eighteen pecceeding zonths.

Use is-on a

billing-day

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normail:cd basis.

For example, the Hay _1976 subsasple provides

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the monthly use of aach of a large nusher of cus tomers from November 1974 through lay 1976.

.\\ltoge the r, the t welve subsampics cosprising t ie 1976/77 ' sample provide uccage da ta for S

the thirty months fros. November 1974 through April 1977.

The i975 sample provides useage data covering the sonths January 1974 through Decesher 1075.

.\\ second data set that has been collected provides bath heating and cooling degree day factogs for each or the company's former eleven gecgraphical divisions, sonthly from January 197'4 These da ta are used to normalire the et tooer use data for the ef fect of vea ther variation on consumption.

gethodol.o rv. -The 1pproach ot this study is to contrast the pa ttern of custcmer weather-adjusted use of electricity before and.tter the introduction of inverted cates as displayed is the ni'netsen month' histories o f' useage availa ble in the customer records. The observed before-atter contrasts are cospared to the statistical variability inharant in the data to determine stattsticat significance.

In the first step 'of da ta peccessing, each. of the 132,000 custemers has been sorted into one of three use classes based on average use during the nineteen sonth customer history. For this is billing day adjusted tut unadjusted f or weather.

purpose, use The claastrica tion rule is derived from the inverted rate structure itselfi

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- (a) 'or cate group A, 'the classification is based on the

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'iverage monthly use durin J all twelve calender months, whilo for rate Jcoup A-1, the classification is based on avwcage sonthly use during the June through Cc cher period.

(b)

Custeners withou t water heating a re classified as follows:

,1 vera ge Mo n t h17 Hgg Class 0-500 kWh to w 601-1000 kWh-1ediu m 1001* kih High (c) Customers with water heating are classified as follows:

Avorane enthly Use cla ss w

G-900 kWh.

Lo w 901-1u00 kWh Medius


4 401+ k Wh High

. Tost of the analysis will describe the twelve customer subgroups comprised of thase three use classes within each of the four residential rate classes. Appendix A shows the number of customars within <aach of theqe twelve subgroups for each of the tasive 1976/77 monthly subsamples.

Appendix 0 provides simitir informatica for the 1975 sunsamples.

\\l1 of the analycis vill utilire mon thly useage figures which ha vo been adjusted both for billing days and for weather effects on heating and cooling c'onsumption.

In order to make those weather adjustments, sonthly data have been collected for bota'notting and cooling dagree days for each of the former eleven company divisions. These data have been correlated with

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6 the avarage monthly consumption per customer of each custoser subgroup withis each division. Altogether, two huncred and strty four agaations (two samples of twelve subgroups cach, for eleven divisio ns) have been estimated cala ting average monthly consumption to heating and cocling degree days, both coccurrent and lag 7cd by one sonth. For each ot the two samples,1975 and

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1976/77, the pericd prior to the rate change has been used in estisat ing those wea the r correction regression equations. For I

the 1976/77 sa4ple, each of these equations has been e=timated using osservations of average sonthly use per customer compiled tres the nineteen month histories provided in each of the twelve sunsasples, using data for the months "o vonb e r 1974 through

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.k p ril 1976.

For the 1975

sasple, the weather correction regression equations were estimated usipg monthly observa tions of avera ge consumption drawn from the January 1974. - January 1975 period. tecause 'these vaather corrections are based on time periods specific to each sa ple, adjustod usease cannot be co: pared between the 1975 and 19 76/77 samples. These estiss tei rela tionships have been used to calculate the deviation from expected Jseage for the given weather conditions, first by division and then Company wide.

Analysig g; 31g 1276/77 sarelg.

Figura 1 shows a time serias plot oc average :onthly usaage per custazer f ar the \\ (withcut wster hasting) rate group with igw consumptian, based on the 1976/77

'sa m ple.

Appendix B

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.provides siella r plots for 111 twolve custome r s ubg rou ps.

In

I t

s-7 m.tny

cuspects, Figure 1

1.t typical of the others shown in

~

.sppandiz e. The level of use is very highly

seasonal, with wintec ud suses:

pea ks and spring and fall tcougns. Despite' this stcony seasonal pattecs, year te year changes in useage are sub3ect to substantial variation.

Foe example May76 is substantially abcve May75 but August 76 is below August 75. This varia tion makes it dif ficult, if act impossible, to dotermine from vi.s ual inspection hcw useage night have changed since tho tstroduction of inverted stes in April 1976.

Figure 1 T verle:e 4;13 9er customer g g Nonth, 1976/77 Samole.

hg G re y c 1

,[, W i t h c o t h H e at i ner) M M C11ss.

.10T:'3 D3C 7'4 JA375

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?!D75

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2A875

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APE 73.

+

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30.775 SI? 75 0775 DEC75

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JA316 P2375-MA776

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\\2R76

'A'l76

+

.10375 jut.76

+

AUG75 S2'16

+

OCT76 30776 DIC76 JA377

+

?SS77

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I't A2 77

+

P277 6

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+ - - - _ + - _ _ _ + - _ _ + -

+____+

232.67 270.40 308.13 USE (K'JH)

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251.54,

299.26 326.99

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A acre ef fective approach is to look a t the de viation of actual usua le rron the level of useage that would have been expected given the heating and eccling degree da ys experienced in the aanth (aus well as in the peaceeding south.) Figura 2 provides such a graph for the A (without watar heating) rate group with -low consumption.

For exaspie, Figure 2 shows that avara.g3 custosar useaga in this group in December 1974 was about seven ' th above the level re ne expected given the wea ther r

conditions.

Graphs like Figure

2. ara given in Appendix"2 for eacs of tha twelve custo mer subgroups.

Inspection of these graphs will suggest a nunber of generalizations:

(a)

Within all subgccups, the deviations of actual useage from expectWd useage are small relative to the average level of actual uscage.

For example, Figure 2 shows deviations ranging fros -10 k3h to +1b k7h while Figure 1 indicates that the actual 4

useage 12 this subgroup averages about 290 k'4h per month.

The' snail devia tions enflect the accuracy of the weather corrsction procedure.

(b) The deviations in useage a fter the introduction of iEverted rates in April 1976 display no substantially different sagnitudes than in the preceeding eighteen sonths.

(c) One small hut noteworthy pat tern is apparent:

Rate G roup A

sub ;ro ups consistently displa y a

little less than expected useage in the four aanths August 1976 through November 1976.

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Firuce h Devittion C'.tettral rise From Noected FTsh ll3&S GEC'J" L l xLtncut u sar usattnc)

t. o u noe gM, 610 N"'1 5

FE375 Mia75 APR75 14T75 J7X75 JUL75 AffG75 SIP 75

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CCT75 NG775 DEC75

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7A376 FZ375

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1A375 AP276

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7AY76 Jf!3 76

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JUL76

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U7G76 STP 76-

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OCT76 307"/6 DEC76 j

JAN77 FEB77

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.33364 -1 10.225 DE7 (K'dII)

-5.1627 5.0960

.15.355 to conrics theco observations, the deviations data for each subgroup have been subjected to the extensive statistical analyses rully present2d in Appendix C, and summarisec here in

"'a ni a 1.

The table reports the estimated change in average aanthly useaga from before to af ter the introduction of inverted cates in April 1976. For Rate Uroup A subgroups, the change is i

estiaated-by comparing the devia tions of uscage during the l

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oighteen aanth peciod from November 1974 through April 1976 with

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to the devittions cf usesge during the twelvo month period from May 1976 tscough.tpril 1977.

For Hate Group A-1 subgroups, the analysis is based on the months June through October during which inverted rates spply. The findings are reported in ter=s of the change in average kWh of use per month, and also as a percentage of the sonthly assage that would have been predicted for the period May 1976 through April 1977 without invertad rates, the statistical significance gives the probacility of the data showiag a cha nge of this magnitude sisply due to

chance, assusing no raal change.

The smaller the nu ber given in the signi*icance column, the greater the statistical confidence of a

~

real change in ccusumption. Numbers smaller than.05 are usually considered, to be significant.

Technically, the sta tistical significanca providas th'e probacility of making. a type one error i

is tasting th e null hypcthesis tha t there is no change. These seasures of change are reported for each of the four rate groups and for each use class wLthin the cate groups.

The statistical techaline for estisating the change takes into account vaather effects and differences asong the twelve subsamples that provide the customer data.

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11 Tab 11 la, GhEo.,9, la ff 3eioe 3,it.2E InVadji2jd, E,a,jyjss 22, 3a t e a t c't o 3 r;4 One Clans 3atw Wa ter Use Changa Change Signif.

Group Heating Class K2h T

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A g o-Lem

-2.8

-1 0

.00 i

No sed

-10.3

-1.5

.00 A

No Hign

-14.1

- 1.1

.03 4

3c All

-6.2

-1.3

.00 A

Yes Lcv

-6.3

-1.1

.00 A

Tes Med

-20.3

-1.3

.00 A

Tes High

-21.4

-1.1

.06 A

Yes All

-12.2

-1.4

.00

(

&-T 3o Los

+6. 4

+2. 7

.06 A-l "3

1ed

  • 10.7

+1.5 11 A-1 To High

-15.6

-1.1

.39 A-1 No All

+5.9

  • 1. 2

.13 A-1 Yes Low

+4.9

+0.9

.39 A-1 Yes aed

-18.2

-1.6

.07 A-1 Tes High

-4 6,.8

-2.3

.00 A-1 Yes All

-9.7

-1.0

.23 e

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12 Table 1 confirms that th e deviations between actual and i

expected ussage have changed very little since the introduction of inverted rates. Table i shows a small drop in useaga for Eate Group a subgroups, ranging f eca f.07. to 1.8T.

As o bserved in PLgure 2

and A;pendir B,

these changes reflect the temporary d rop that was experienced during August 1976 through November 1976.

It seems likelT that this tempcrary decresse in useage is due to f actors unrelated to the rate change introduced in April 1976.

i Table 1 shows less c=nsistent changes within aate Group A-1.

For the A-1 subgroups withcut wa,ter heating, no observod chango in uscage was significant at the.05 lev-;1. It should be remembered that these A-1 subgroups witho ut water heating

(

includu very few customers. Inspection of the graphs of Appendix 3

reveals no patterns to these~ ssall increases in useage. Among j

the nunerically larger subgroups cf A-? with water heating, the low uso subgrcup displays a

small but statistica lly insig nifica nt increase in useage, while the high use subgroup shews a

statistienlly significa nt decrease in useage. Close erasination of the detailed regression a naly sis provided in Appendix C

shows chat this decrease can be attributed to less than expected useage in october 1976, and to a lesser extent in Septesbur 1976.

In

fact, all use classes within the A-1 rate 1

group showed less use than expected considering weather conditions in Cctober 1976. Because of its apparently temporary natura this docrease should not necessarily 'be a ttrimutec to the

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introduction of invorted rates or increased awareness of l

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13

+

cons e rvation.

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sucmarr le m 1976/77 sa, n t e.. Theco is little or no indication of customer cesponse to the ca te changes of April 1976 is any of the use classes. In other words, the cesponse of customers to last year's cate chango seems to have been very inelastic ca7acdless of the leval of use.

\\nalrsis of the 1973.annta. Appendices 1 anc ? proviae an analysis or changes i.n useage since the January 1975 rate

Lucrease, based en the 1975 samplo. The methodology is sisilar to the methodology used to analyze the 1976/7"r sample.

Table 2

sunsacizes the f indings.

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.l T1ble L Chan<Tos In fJseace A "ter The 1975 Da te Chance E oate Grous A nd "se cl.a ss Rita later Use Change Change Signii.

Grcu.?

Heating Class K7h 5

A No Iow

+0.9

+0.3

.57 A

No Med

+0.1

+0.0

.98 A

No High

-11.9

-0.9

.43 A

No A11

-0.0

-0.0

.99 A

Tes Iow

-11.7

-2.1

.00 A

Tes 3ed

-15.9

-1.4

.00 A

Tes High

-30.9

-1.6

.C1 A

Tes All

-14.7

-1.7

.00 t

A-1 No tow

+0.8

+0.3

.61 A-T No Ted

+4.6

+0.7

.11 1-1 No Righ

-26.9

-1.9

.32 A-1 Nc All

+1.0

' 0. 2

.68

+

A-1 Tes Icv.

-n8.2

-17.7

.00 A-T Tes 3ed

-46.0

~7.0

. 03 A-1 Yes High

-76'.5

-5.5

.04 A-1 Yes All

-50.7

-10.0

.00 k

L

15 l-Table 2

shows considerabic similarity to Tacle

1. Changes in usaaga throughcut !!a te Group A were slightly more irregular in Table 2 than in Tiblo 1, but were consistently small, ranging free

+ 0. U.

to -2.11. As in Table 1, Table 2 shows. rather sssil changes for ar te Group A-1 customers without water heating. Both tahics indicate failing useage in the hignest use class in this

group, but slightly rising useage a=eng the lower use classes.

However, tha number of custosers in this categor7 is small and the changes are not atatistically significant. la in Ta'le 1,

b the larger ca tegory, nato Group A-1 with water

heating, shows 6ecreased uaoage ranging frcs -17.7T for the low use class to -

5.55 toe the high use class. It is nct possible to determine

'from theso. data whether these chang'es are due to the increased ra tes, or whether they reflect other factors sucE as growing

{

awareness of censervation within this group. This analysis of the 1975 rate increase strengthens the general impression given by the 1976/77 sasple of inciastic response to cate increases.

8 L

l'

~~

'~

~ ~ ' ~ ~ ~ ~ ~ ~ ~ '

16 Appendix A.

Subsanple Sample Si c:s By Subgroup And Sub:; ample, 1976/77 Sample RATZ WATER US!

SUBSAMPLE NUMBTR OF GRCUP HEATING CIASS CUSTOM EE S A

30 IC'4 3AY76 1161 A

NO LOW J4576 1167

.1 30 ICE JUL76 1177 NO LOW AUG76 1094 A

NO LCW SEP76 1131 A

30 LOS OCT76 1112 A

NO Eck MOV76 1102 A

NO LC; DEC76 1123 1

30 LCW J A tl77 1113 A

'J 0 LCW FEE 77 1137 4

30 L C'J M AB77 1196 A

30 LC7 AFR77 1146 A

NO 3EC MAT 76 747 A

30 3EC JUN76 704 A

NC MEC JUL76 710 A

NO MEC AUG76 746

.A 30 MEC~

SEP76 728 A

No MEC OCT76 749 A

NC 3EC N0776 747 4

30 MEC DEC76 742 A

NO MEC JAN77 756 A

No 32C FEE 77 737 A

NO NEC MAH77 729 A

30 iED A?P77 760 A

PIO

'HIGH 4A776 103 A

No HIGH J7576 98 A

tic HIGH JUL76 1.05 A

40 H.lGH AUG76 116 A

NO HIGH SEP76 85 A

30 SIGH CCT76 93 4

10 HIGH NOV76 105 A

30 Hida DEC76 37 A

NC HIGH JAN77 112 A

'70 HIGH FEH77 95 A

'30 HIGH MAE77 108 A

TO HIGH ADR77 91 A

TES LCW 1&T76 157 A

YES LCN JUN76 334 1

YES LCU J UL76 349 A

TES LCW AUG76 361 A

TES LCW SEP76 36?

A 725 LCW CCT76 357 A

YES L C'i NGv76 343 A

YES LC4 DEC76 197 A

T7S LC3' J AN77 391 A

TIS LOW PEB77 351

(-

A TES LCW APS77 378 A

TIS L C*i MAE77 347 1

YES 1EC MAY76 164

17 4

A TES 3ED J7N76 199 A

YES NED JUL76 199 A

YES 3ED AUG76 213 T

YES 3Et STP76 201 A

YES MED OCT76 190 A

YES ME7 NCY76 207 A

YES TED DEC76 190 1

I25 32D JAN77 167 A-YZS 32D FED 77 212 A

YIS 3ED 3AB77 175 A

YES MYD ADB77 132 4

YES HIGH M4!76 53 A

YES HIGE J7576 51 A

YES HIGH 7UL76 58 A

YES HIGH

.19G76 69 A

YES HIGH SEP76 70 A

YES HIG3 OCT76 67 1

Y2S HIG3

'IC V76 69 A.

YIS HIGH DEC76 53 A

YES HIGH

.T1377 56 A

YES 31GH

  • EE77 64 A

YES HIGd MAE77 56 A

YES HIGH AFF77 64 A-1 lC LCh NAY76

'370 A-1 30 LCW JU576 479 A-1 3C ICW JUL76 482 A-1 30 LOW AUG76 468 A-1 No

. LCW SEP76 456

(

A-1 30 LCW C C T76-454 A-1 NC LCW 3C776 426 A-1 30 LO3 DEC76 455 1-7 NO LO3 JAN77 467 A-1 NO LOE FEB77 460 A -1 NO LCW MAE77 459 A-1 NO LOV A PE77 449 A-1 NO 3EC MAY76 166 A-t 30 3EC J0 76 164 A-1 3C 3EC JUL76 180 A-1 No MEC AUG76 195 4-1 30 MEC SEP76 133 A-1 NO 3EC OCT76 130 A-1 NO 3EC NOV76 173 A'-1 10 3EC DEC76 188 A-1 30 3EC J A N77 165 A-1 NC 1ED

?!E77 185 4-1 30 MEr MAR 77 201 A-1 30 3ED APF77 204 A-1 N0 HIGH MAY73 74 A-1 No HIGH J 7N76 71 A-1 MO HIGH JUL76 75 A-1 30 HIGH 47G76 77 A-1 30 HIGH S EP76 90 A-1 30 HIGH OCT76 74 T-1 No HIGH 4CV76 77

(

A-1 NO HIGH DEC76 64 A-1 NC HIGH 14K77 75

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!!S LCW SIE76 2542 1-1 17 5 Ecw OCT76 2529 A-T YES L C'4 -

3C776 2586 A-1 Y25 LC7 DIC76 2533 A-1 YES LOS JAN77 2549 A-1 YES LCW FIE77 2562 A-1 YES LOI 3A277 2586 A-1 T!S LC7 APF77 2708 A-1 YES 3E0 3AY76 1344 A-1 YYS d20 JU576 1426 A-1 Y2S 3ED JdL76 1377 A-1 YES 3ED AUG76 1481 A-1 TES 3EC SEE76 1456 A-1 ITS 3EC OC776 1448 A-1 YES 32D N0776 1427 A-1 Y25 3!c DEc76 1493 A-1 YES 330 JA577 1455 A-1 YES 3EU FEE 77 1465 A-1 IES 32D 1A577 1516 A-1 YES MIC AE577 1450 A-1 YES HIGH 3AY76' 657 f

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%-1 YES EIG3

" T F77 707 A-1 YES HIGH AF577 713 l

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43 Appeniix C.

?egression Analysis Per Each

subgroup, 1976/77 Saspis l

The following pages contain the detailed analyses of dori.itions in useage. These analyses have been suscarized in Table 1

and discusaed in the text. Additional insights can be gaine:1 fees careful caview of the complete tables that rollow.

Theese analyses deal with the rate gr:ups in the following ' rder:

o A(witaout wa ter.hea ting),

1(with water heating),

A-1 (w ithout water heating), ana A-1(with water h ea tin g).

The analysis of each cata group cenststs of the folicwing parts:

(a) sussarf statistics describing the variables " A 7EUs!"

i avara3e monthly use per custoser by sonth and subsampio, "EI?usE*

the exp ecte d average use per customer given weather conditions, and "LE73sE' the deviaticas between actaal.

use and crpectal use. These summary ststistics describe the sonths since the intreaucticn cf inverted ra tes. All three use classes are described.

(b)

Simple regrassions rela ting DE7USE to a

variable

" AFT 33IR" which ta:tos the value one for the sonths after April t'i76 and the value zero in earlier scnths.

The cocificient of this varisbie (-2.3357 in the A, without water heating, low use subgroup) gives the change in the deviations in the twelve sonth oorto.1 a f t ar intecductica of inverted ra tes tha t is shown in k~'

column 4 c: Table 1. The significance of this coefficient (.0041 1

,__m,~.m

40 In the A,

withcut vatar heating, icw use case) is reported in colaan 5 of Table 1 The statistical significance gives the probahility cf the data showing a

change of this cagnitude sispiy due to chance, assu=ing ne real change. The emailer the numbec given in the significance co lu m n, the grea ter the statistical centidenca et a real change in ccusumption.

Numbers smaller than

.05 are usually conside' red to be significant.

echn ically, the s ta ti stical significance pro vices the probacility or making a

type one acror in testing the null hypothesis that thera is no change.

The percentage cha nge,

reported in eclumn 5 cf Table 1 is calculated by dividing the co efficient or AFII3I7.by the saan of EXPUS2 obtained fres the descriptive measures. (-2.d357 divided by 273.29)

(c)

A

second, more elaborate regression analysis is provided ter esch sabgroup. These regressions utilire varia bles 3%I76,J7576,...,AP27' which are one for the coeresponding sonth ana zero for ethat sonths. The coef ficients of these variablas show the deviations between actual use and expected use f or esen of these months.

The column marked SIGNI?

pro.vides the significance of these deviaticus.

\\ll three types or statistical analysis are then providad for the entire cate group, ccaprised cf all three use classes.

In the case of A-1 rste groups, all analyses are based solely on the zooths June through Octcher during which inverted rates apply.

(i 1

e 3'

DISC'I??I7E 32ASU253

<1> S'dEAT: 50*E2HIAT::10*Lt7USE: LOW ' CASIS=3ONTH:

MAY75-A9577 VASIADLE N

dINI5U3 3 AZI:0!!

MIAN STD DE7 9.A72US2 78 2r10. t ?

330.04 275.39 24.360 11.EIPUS2 78 244.33 326.84

,27d.29 24.137 12.DE7UST 78 -20.032 9.7469

-2.8966 7.1587 DESCUI?TI73 ;12ASURES

<5> SPIIEAT: N0*32 HEAT:30*L37USI:2ED C ASIS =MO:iTH:

1.\\ Y 7 6-A? S77 VA2I40LE N

d!9I30'

.1 AXI3U 3 34AN STD DE7 9.A71US:

78 599.69 700.34 670.41 54.490 11.JX?UST 78 6C6.7a 790.02 679.79 55.316 12.D EV U'S E 73 -47.709 20.015

-9.3771 17.739 i

DESC5I?TI7E *tIASCEIS

<9> S FUEAT:NC *73H2AT: 30 *L27USI:UIGH C AS23.=dO NTH : 3 A Y 76-4 ER 77 YA2IABLE N

HI3IMU:1 5 AII331 3IAN STD DE7 7.A7EUSE 78 1032.7 1528.5 1267.1 111.91 11.EXPUST 78 TC87.3 1455.5 1274.3 119.01 12.C070SI 79 -11o.91 140.34

-5.6619 52.389 e

(j 4.

e..

46, i

LIAST SQUARE 3 REG?!SSION

<1> S?H3AT: 30*W3HE AT: 30* LEVriSI: LOW ANALYSIS 07 7 ARIA $CZ OF 12.DEVUSZ 3= 216 007 0F 229 SOURCI Dr SUN Sqa5 (1E13 SQR

?-STit SIGNI?

31G R ESSIO.T 1

400.72 400.72 S.4217

.0041 23RCR 214 10103.

47.5d2 TCTAT 215 10583.

MULT 2=.19459 E-SQE=.03786 SE= 6.8990 711IADLT PARTIAL CC Fi,

STD IR20R T-STA T ~

SIGNI?

CONSTMT

.60924 -1

.54720

.10376

.9175

51. A ET E3 IR

.19459

-2.d357

.97716

-2.9020

. 70~ 41 L2ASI SQ U A22S EEGEYSSIO:1

<5) S 2 H E AT : N 0 =~4 & HI AT: N0* L 3 YUSI:. TID ANALYSIS OF 7ARIANCE OF 12. D E 7'JS E 3= 216 CUT 07 228 SOURCE DF SU3 SQRS 3EA3 SQE F-STAT SIG3IF i

HIGSESSIC3 1

5272.2 5272.2 19.'215

.0000 Eunc9 214' 58717 274.38 TOTAL 21h 63909.

3 ULT 2=.19704 H-SQE=.03239 SE= 16.564 7ARI13LZ

?AETIAL CCEF7 STD ERRO3 T-STAT SIGNI?

CONSTA:IT

.90053 1.4101

.64436

.5200 51.AFTI2Ia

.29704

-10.296 2.3465

  • -4.3835

.0000 N)

~

~

l "7

T.EASI SQUA2ES R4G' 3SSIO:I

<9>

S 7H I AT : :10

  • fd R 3 E AT : :lG
  • L E7 US 3: HIGli d

A.'!ALYSIS O' V AnIA tlCI 0F 12.DE79SE lI= 216 OUT OF 228 3072CZ DF SU3 SQRS 13A:f SQ:t F-STAI SIG;tIF REG R ESSIO N 1

9944.4.

9944.4 4.7534

.0303 EBROR 214 44770 +6 2092.1 TOTAL 275

.45764 +6 5 ULT E=.14741 R-SC3=.02173 SE= 45.739 7A2IA3LE 9.12TIAL CCZFF STD EBEOR

-SIA:

SIG'I?

CO:IST A:IT 3.'644 3.8936 2.1739

.0303 4

51.AFTE3I?

.14741

-14.126

6. u7 93

-2.1802

.0-303 e

..::2*..

1 I

bi S'

-.mmm

48 LEASI SQUARES REGPISSIO.7

< 1 > S ?!!! AT : 50 *W 2.9 E A T: 30

  • LEY USE: L O W A3ALYSIS OF 7A3IANCI 0F 12.027751 li= 216 0UT OF 223 SOURCZ DT SU2 SQRS MEAN SQR F-Sn2 SIGNI?

?EGRESSIC:t T2 3 0C 9.5 250.71 6.7197

.0000 ERRCS 203 757%9 37.315 To".TL 215 10593.

MULT a=.53316 3-SCE=.28426 SE= 6.1086 7A?lABLE PASTTAL COEFF SID ERPOP I-STAT

  • SIGNI?

CONSTANT

.60929 -1

.52000 11717

.9068 91.MAI76

.10221

-2.6913 1.8385

-1.4639

'.144d 82.JU176

.04923 1.3440 1.9139

.70225

.4833 83.JUL76

.11600 3.3297 2.0005 1.6640

.0977 84.AUG76

. 28378

-9.4612 2.1015

-4.2165

.0000 85.S2276

.26230

-8.6031 2.2214

-3.8728

.0001 36 nc-76

.27e04

-9.6344 2.3667

-4.0920

.0001

97. 0776

. 27131' -10.231 2.5475

-4.0162

.0001 88.DEC76

.12173 4.a592 2.7809 1.7473

.0821 89.JAir77

.06797 3.0075 1.0992

.97072

.3329 90.?IB77

. 10917

-5.5784 3.5649

-1.5648-

.1192 91.34a77

.15205 9.5360 4.3506 2.1919

.0295 92.12277

.02438 2.1299 6.1307

.34741

.7286 i

~

l l

49 LEASI SQU ARES HEGE ESSION

<5>

SPHE'AT: 30*WRHEAT:NO* LE7US2: MED A NALYSIS OF 7 AUIAUCR OF 12.DETISE 3= 216 CUT OF 228 5002CI DT SU.1 SQRS MEA'J SQ1 F-STAT SIGNI?

RIGR ES3 ION 12 25 d 93.

2157.7 11.498

.0000

?HRCE 203 38096.

187.67 TOTAL 215 63999.

MULT R=. 63612 3-sC3=.uG465 SE= 13.699

" AII ABL E 7ARTIAL C O F.F F STO ER?OR T-STAI '

S I3N I?

C03STANT

.90958 1.1661

.77913

.4369 91.d A T 7o

.04339

-2.5514 4.1229

.61883

.5367 82.J T!76 -

.09284 5.7010 3.2919 1.3235

.1955 31.JUL75

.04954 3.1705 4.4863

.70671

.4805 84.AUG76

.42391

-31.429-4.7129

-6.6666

.0000 s5.S2276

. 33922

-25.595 4.9918

-5.1377

.0001 86.CCT76

.35751

-28.949 5.3075

-5.4543

.0000 97.30776

. 34192

-29.6 C6 5.7129

-5.18 2J

.0000 8 4.C EC /6

.04317 3.d393 6.2 '%

.'615o3

.5393 I

S9.JAN77

.0'3067 9.0129 6.948T 1.2972

.1960 90.?E277

. 237U1

-27.798 7.4947

-3.4758

.0006 91.112/7

.09537 13.319 9.7567 1.3550

.1738 42.AP277

.01673 3.2T E3 13.749

.23844

.8113 O

L w

N.

r y,.=,c,nm

50, 9

L'ASI SQU.1 DES 2 EGD ESSION

<9) SPH 2 AT : 30 *W R ff E AT : N0* L Z7US E: fiIG3 AN.4LTSIS 0? 7A3IANC2 Of 12.DIVUSE N= 216 CGT OF 223 SOUR Cr DF SUS-SQ2S' 3EAN SQH F-STAI SIGUI?

REGRESSICN 12

.12142 +6 10113.

6.1088

.0000 EBFOR 203

.33623 +u 1656.3 TOTAL 215

.45764 +6 5 ULT R=.515CE 2-SQ5=.26531 SE= 40.6 99 7%EI13t!

PA3TIAL COEFT STO 23ROR T-STA T

  • SIGNI?

CONSTA 3T 9.3644 3.4644 2.4432

.0154 91.a1776

.00967

-1.6873 12.249

.13775

.8905 B2 TU376 21723 40.428 12.750 3.1707

.0018 43.J7L76

~.11067 21.145 13.328 1.5865

.1141 64.AUG7s

.26676

-29.712 14.001

-4.2647

.0000 85.32276

.23944

-51.773 14.800

-3.4982

.0006

?

86.0027b

.15994

-J e. 3 7 6-15.768

-2.3070-

.0221

'~#

37.50776

.23491

-58.441 16.972

-3.4434

.0007 83.75076

.01273

-3.3606 18.527

.18139

.8562 8 9.J 4'177

.00938

- 2'. 7 5 9 C 20.642

.13366

.8938 s

90.?3377

.22704

-78.891 23.751

-3.3216

.0011 91.7A277 03033 33.254 28.985 1.1483

.2522 92.19277

.02929 17.052 40.845 41748

.6768 4

m 9

(

~ '

-mw.

,% e, 4y.,

-,-,,y-+

-- +,,pe,

.-g,g,-

w,

~,--.,__r

=

==

51 '

DESC 3I?T17 E.22A 502 ES

<1> SPREAT::!O*'42 HEAT::!O*LEVUSE: ALL C A SIS = MO N TH:

1AY76-AP377 742IA3LE 3

3 INT.103 diXI3Un 3EAN

  • STD DE7 9.A733SE 78 419.36 572.06 473.34 39.121 11.grarJS2 79 410.52 559.95 478.83 40.177 12.DE7USE 78 -22.163 14.361

-5.4963 12.167 e

LEASI S20A3IS REG 2ZSSION

<1) SPH EA7:N0 *'4 H H E C: 30* L EVUSE: A L L A33LZSIS OF 7ARIANCE OF 12.01V052 N= 216 CUT OF 229 SOURCE DF SU3 SQRS 3EAN SQ2 F-STAT SIGNIF

/

32G2 ESSIO N T

1930.6 1930.6 15.116

.0001 EE202 214 27332.

127.72 TOTAL 215 29263.

3GLT n=.25685 H-Sc3=.06597 SE= 11.301 7AlIABLE PARTIAL COEFF STD EEROR T-STAT SIGNIF CONSIANT

.73793

.96203

.76705

.4439 51.AFTERI2

.2b685

-6.2242 1.6009

-3.9879

.0001 e

{

s.

O e

m

52.,

LEAST SQUA2 ES 'tEGR ESSION

<1> SPHE A T::10*72HE AT::10

  • LIV 73E: ALL ANALYSIS OF 7A3!aNC? OF 12.D'177SE N= 216 OUT OF 223 SOURC3 DE SUM SQRS 3EAN SQE t-STAT SIGNIP 3ZGRESTION 12 11534.

961.19 11.006

.0000 ER2CR 203 17729.

97.332 TOTAL 215 29263.

3 ULT R=.6 2782 E-SC3=.39316 S E= 9. 34 51 7ARIABLi

?ARTTAL COE7F STD 22 50 R T-STAT -

S IGUI?

CONSTA >IT

.73793

.79551

.92761

.3547 31.3AT7$

.06446

-2.5933 2.8126

.92028

.3583 92.JUN76

.11767 4.9411 2.9279 1.6883

.0129 03.JUL76

.09416 4.1240 3.0604 1.3475

.1793 34.AGG76

.3aagg

- 19, g,o a 3.2150

-6.2171

.0000 85.52275

.334F3

-17.165 3.3984

'a.0509

.0000 86.0CT76

.33588 -19.3?6 3.6206

-5.090d

.0000 1 #-

87.:10776

.33726

-19.852 3.8972

-5.1043

.0000 39.CIC76

.co732 4.09C1 4.4343

.96139

.3375 89.JA377

.07411 5.0196 u.7393 1.0586

.2909 90.FIS77

.22021

-17.542 5.4537

-3.2164

.0015 91.'!A377

.12652 12.095 5.6557 1.8173

.0705 92.A?277

.02398 3.2055 9.3789

.J 4176

.7321 e

e e

'e m-

53 DISCHI2TIVE 3EASUEES

<1> SPHEAT:N0*W3HIAT:YIS*LE7USE: LOW C ASES=30 dTH: 1 A!76-APS /7 7ARIABLE S

MINI 303 MAXITU3 SEAS STD DE7 9.A7ZUSE 79 504.54 677.43 555.10 42.962 ft.EIPUSE 78 500.77 657.04 561.97 37.889 12.DE70S?

78 -42.C37 30.063

-6.8754 16.785 D ESC 3IP"'7 7% 3 E ASG3 E5

<7) S P HE AT : :10

  • W 3 HI AT : Y ~S
  • L IV US E : 3 ED CASES *dO"TH:3AY76-4?277 VA?IA3L?

U 3IJI 03 5 AXI.1U 3 3EAN SID DE7

9. 4 72US2 78 969.67 13'46. 9 1085.7 9 2.1'T4 11.EI2USE 78 999.07 1306.7 1104.9 86.832 12.D27352 78 -76.396 91.739

-19.225 28.709 DESCEIP"IVZ MCASURES

<11) SPHEAO: 3C**43HIAT:YES*Ll70SS:HIGH

(

CAS ES =dO 3!H: 3 A Y 76-A ?n 77 VA71ABLE N

MINI!U3 1AI!333 3EAN STD DE7 9.AYEUST 78 1565.7

,2777.9 1992.0 279.43 11.22? U SE 78 1598.3 2770.0 1968.8 257.89 12.DEVUS2 7d -260.02 254.75

-6.6093 34.419 O

O e

e e

(

4 annuma a

.m.-..,

m;ys.

ne..

7

-wm,-

tow-~--

,hw, 54 LEA.iT SQUARIS STGT.ESSIO3

<3) SPl!!AT ::10*3 2f!2 AT: YES* L270s : LO W ANALYSIS OF V42IANCE OF 12.DZY9S7 N= 216 00T OF 229 SO3PCI DF SU'1 SQ2S MEAN SQ3 F-STAI SIGNIF HEGRESSIC3 1

1975.6 1975.6

').2967

.0025 E3P02 214 45477.

212.51 TOTAL 215 47453.

HULT R=.20404 2-SQ3=.0 41 o 3 S E= 14.579 7A2IABLE PA2TIAL CCI??

STD EU203 T-SIAT

  • SIGNI?

C0 35't VIT

.57902 1.2409

.4e660

.6413

31. AIT E2IR

.20404

-6.2964 2.0650

-3.0491

.0026 LEASI SQUA?!S PEGRISSIO:!

<7) S ?E EA T: 30* W R EZ AT: YES

  • LE IUSE: ?.2 D A3ALISIS 0? 7 ARI ANCE 07 12.DEVUSI 3= 216 CUT OF 22-1 g

SOURCT OF SU4 SQ35 3TA!! SQ3.

?-STAT SIGUIF 23GnESSION 1

20607 20607 31.230

.0000 232C3 214

.14018 +6 659.80 TOTAL 21 5

.16159 +6 I

3DLT 2=.35711 E-SQ3=.1275 3 52= 25.66 7 7A'? IASL Z PARTIAL COE? F SID E2303 T-STAI SICUIP CO NSTA:IT 1.1097 2.1349

.50769

.6121

51. A FT EP.12

.35711

-20.335 3.6359

-5.5928

.0000 i

l k.

O e

,-rr

55' 1 LEAST SQUARES 2?GRESSION

< 11 > SPH.% T: 30* W USE AT: TES

  • LE7US :.ilIGH ANALYSIS OT 7 ARTANC2 0F 12.U173S7 5= 216 0UT OF 229 SOGRCI DF SUM SQ3S MEAN SQR F-STAT SIGNIF

!!G23SSIO3 7

22937 22937.

3.4728

.0633 2B20H 214.14t34

+7' 6604.8 TOTAL 215

.14364 +7 30LT 2=.12637 1-SC3=.01597 SE= d1.270 7A3IABLE PA2TIAL CCEFF JTD Ia RCE

-STAT S IGNI?

CO3STANT 14.646 6.9182 2.1170

.0354 51.A7?THI2

. 12637

-21.454

'11.513

-1.8635

.0638 e

O e

9 G

e SS.

LEAST SQUA3 ES 2EGR ESSICN

<3> SPU )T:N0*WEHEAT: Y2S* LIVUSE$ LOW

%NALYSIT OT 7APIANCE OF 12.DEVUSE 3= 216 OUT OF 228 SOURCE DE SU3 SQas 3EAN SQR

'F-STAT SIGNI?

3E22ESSic3 12 15562.

1296.9 a.2546

.0000 ERRCH 203 31991.

157.10 TOTAL 215 47453.

'30L T n=. 572 6 6 E-Sc3=.32794 S7= 12.534 7 A3 IABLE PA2TIAL CCEPT SOD ESPO2 T-STAI '

3IGNI?

CO:4 ETA 3T

.57902 1.0670

.54263

.5879 91.3AT76

.0u929

-2.6526 3.7723

.70316

.4827 d2.JU375

.05073 2.8C80 3.9269

.71507

.4754 93.JUL76

.03324

-1.9451 4.1047

.47387

.6361 94.UJG76

.30590

-19.740 4.3 121

-4.5773

.0000 95.S'97s

.32922

-22.642 4.5560

-4.9676

.0007 A6.3CT76

.36735

-27.327 4.3560

-5.6273

.0000 87.30V76

.17536 -13.265 5.2270

- 2.5.176

.0119 -

Si. tic 76

.15776-

'12.9da 5.7060 2.2753

.0239 89.JA377

.19758 18.25u 6.3571-2.8718

.0045

(

70.FE377

.02604

-2.7150 7.3147

.37116

.7101 91.3AR77

.10722 13.716 8.9258 1.5365

.1260 92.A?R77

.00944 1.6929 12.579

.13457

.9331 T eeve t-

+v v

e 57 7.UST SQUA3?S REGR ESSION

<7 ) SP11 EAT : N0 *W E 9 E AT :7 ES* LE7US 3 :.1 E D 13ALISIS CF VARIA3CE C7 12.CEV7SE N= 216 CUT OF 22d SOURCE Dr SU3 SQR$'

1EAN SQE F-STAI S IGTIP HEGR2SSION 12 6b047 5503.9 T1.694

.0000 E3202 203 95543.

470.65 TOTAL 215t

.16159 +6 3 ULT 3=.63932 E-S;Hz 40973 SE= 21.695 VA3TA3LE 2A2TIAL CCEFF STC IERGE T-STAT SIGNI?

CO3STAUT 1.1097 1.3466

.60039

.5496 91.1.1776

.06183

-5.7633 6.5293

.9d269

.3784

'02.J OU 76

.00672

.65091 6.7969

.95752 -1

.9239

$3.JUL76

.10409

-10.595 7.1046 1.4914

.1375 84.AU176

.41591

-48.o35 7.4636

-6.5162

.0000

-:c...

85.SZ?76

.30667

-36.217 7.8394

-4.5906

.0000 9 6.0 C'"76

.39799

-51.937 9.4052

-6.1791

.0000 97.N0776

.40450

-57.015 9.0473

-6.3016

.0000 98'. D EC76

.'10744 15.206 9.s763 1.5397

.1252 t

89.JA377

.01086 1.7 C2 7 11.003

.15475

.8772 90.FEs77

.19429

-35.727 12.661

-2.8219

.0052 91.1AR77

.09359 20.694 15.451 1.3393

.1820

92. APE 77

.03913 12.165 21.773

.55872

.5770 e

O G

eum 58 LEAST SQUARES 32G2"SSIOY

<11> SPHEAT: 30*2 ?!!! AT:IES* LEVUSE: HIGII ANALISIS OF 7AKIANC3 OP 12.D2??S?

N= 216 CUT or 228 SOURCE DE S0.1 5035

.1EA3 SQR F-STA7 SIGNIF 3EGRESSIO7 12

.20432 +6 17027.

2.8055

.0014 ~

EHECS 203

.12320 +7 6069.2 TOTAL 115

.14364 +7 SULT E=. 3 7716 2-SQB=.1422 5 SE= 77.905 VA3I4DLZ PA3?IAL CCZ??

STD 2R30h T-S TA T ~

SIGNI-'

C075 TANT 14.646 6.6317 Z.2004

.0293 81.1AY76

.9553b

-18.687 23.447

.79702

.4264 32.J0375

.00100

.32865 24.407

.14285 -1

'.9886 83.JUL76

.0109C

-3.9621 25.513

.15530

.S767 da. A UG 76

.19323

-75.2C5 26.902

-2.8060

.0055 65.S E? 16

.19564 -76.260 28.331

-2.6918

.0077 36.0CT75

.21276

-93.6'41 30.183

-3. 1024

.0022 97.?!0776

.01756 e.1390 32.489

.25052

.3024 8d.0E070

.12268 62.465 35.u66 1.7613

.0797 39.J AN77

.10195 57.636 39.513 1.4567

.1462 90.?2377

.03195

-20.705 ab.465

.45541

.6493 91.1A377

.07197 57.043 55.485 1.0231

.3051

91. APE 77

.10237

-114.65 78.1R7

-1.4663

.1441 1

1 i

j k

l l-

~

59 DESCRI?TI?! 3EASUE2S

<3> SPEEAT:30*W23 EAT:YES*LE7US.;:ALL CASE 3=30!iT3:1AT76-4?'77 7ARIABLE 3

3INIMU3 3AXI333 X2A3 SID DE7

~

9. A VEUGI 78 765.32 1063.6 961.85 72.576 11.EI?U SI 78 783.32 1055.1 872.57 66.015 12.D E7UST 78 -69.752 57.527

-10.725 23.065 LEAST SQUARES PEG 2ESSION

<3 > SPHEA T:30*W232AT:Y25*LE7USE: A LL ANALISI3 r1T 7A?IA3CI CF 12.DEY'ISE N= 216 CUT OF 229 SOURC3 0F SU3 SQ25 32AJ SQ3 F-STAT STGNIF

?EG2EJSIc3 1

7432.5 7432.5 18.567

.0000 EERCH 2.14 85663.

400.29 T0!AL 215 93C95.

EULT 3=.29255 a-Sqs=.07984 SE= 20.007 VARIABLE PARTIAL CC2FF STD ER'76 T-STAT S IGUIF CONSTA 47 1.4875 1.7031

.87337

.3014 51.AFTESI2

.26255

-12.213 2.8342

-4.3090

.0000 L

@0.

LEAST SQU Ad23 22GU ESS10N

< 3> S?HZAT:30*W2 HEAT: Y23*L27USI: A LL ANALYSIS OF 7ASIANCS OF 12. D I V'JSI 3= 216 0UT OF 222 SOURCZ 3F SU3 SQ3S 3EAN SQR T-STA:

SIGNI7 3EGRES3ICT 12 35767.

2980.6 10.554

.0000 ERROR 203 57329.

282.41 TOTAL 215 93 C 95.

30LI 2=.61981 2-505=.39419 SE= 16.805 7 AB IA3 LI PA2TIAL CO EFF,

STD 3E30R T-3 TAT '

S IG*rI?

CONSTANT 1.4875 1.4305 1.0398

.2997 91.1AY75

.06966

-4.9592 5.0577

.98052

.3280 32.JU:r76

. 0 23 a 1 1.7966 5.2650

.33934

.7347 83.JUL76

.06133

-4.9574 5.5014

.832b2

.3785

.34.1U376

.31707

-34.579 5.7314

-5.9311

.0000 BS.SE?7o

.34850

-32.374 6.1112

-5.2975

.0000 d6.0CT7o

.41125

-41.d53 6.5109

-6.4283

.0000 3 7.:1077b

.23999

-24.694 7.0082

-3.5222

.0005 d3.CIC76

.16569 18.313 7.6504 2.3938

.0176 8 9..T 13 77

.13925 17.077 3.5234 2.0035

.0464 90.FE377

.10634

-14.944 9.9073

-1.5237

.1291 11.1AH77

.11446 19.648 11.969 1.6416

.1022 92.A7a77

.02994 -7.1974 16.866

.42675

.6700 G

\\

~

-l

-~

D

61 DESC3IPTI72 3?ASURES

<2 > S P HI AT : Y 25 =9 8H E AT : 30

  • L t.VUS C: LC'i CASE Ss30 NiH: JU U76-CC T76 VARIABLZ 5

MI3I2U3 3AI 303 ME A:1 STD D EV

~

9.AVZUS!

ub 206.84 260.16 235.34 14.T35 11.EXPUSE 45 201.10 284.57 234.96 21.466 12.D57052 4h -42.736 29.403

.37907 20.096 DESCd!PTI72 3EASUP.2S

<6 ) S FrilA T : YES = W2HE AT ::!O

  • L E7U S2: 32D CASIS=30 3TH :.IU't 76-CCT76

'T A213 %i lI MINT.iU3

.k A%I3U 3 3EAN STD DE7 9.AVZUSE 45 633.18 823.52.

705.22 51.58'6' 11.!I'USE 45 614.51 879.72 706.19 66.015 12.DE7352 45 -88.024 57.323

.96o77 31.411 DESC3!PTIVE MIASUU2S

<10) S P tir AT : T E S

  • 42!! 2 AT : !!O
  • L Ev rFS E: H IG d C ASES=3O UTH: JUU 76-CCT76 7 A2I ABLE

.T MINI 333 3AZI273 dEAU STD DE7 9.Ai?USE 45 1213.5 1733.8 1420.1 133.47 11.5x?USE 45 1227.7 1906.3 14o3.7 147.69

^

12.0Z7U53 45 -165.71 142.16

-43.643 77.-342 O

S b

t

o 62.

TEASI SQUA3ES 32G22SSION

<2> SEHEAT:YIS*daH?.AT:3C=LIVUSE: LOW C AS E S =303 Til : J U 375-CCT 75, J U 376 -CCT76 ANALTSIS OF 7ADIA3CE OF 12.DE77SZ 3= 90 CUT CF 95 SOURCI 0F SUM SQ23 3EAN SQ2 E-STAT SIGNI?

SEGH ESSIC4 7

936.04 936.04 3.5821

.0617 ERR 02 Se 22996.

261.31 TCTTL 39

23932, MULT ?=.19777 a-SQ2=.03911 SI= 16.165 V ARI 43L E PA3TIAL CCEFF '

STD E3302 2-STAT SIGNI?

CON SI.\\3T

-6.0709 2.4094

-2. 5193

.0136 51.37T22:2

.19777 6.M99 3.4079 1.8926

.0617

, LEAST S2 0A3 ES 2iCR ESST0!!

<6) SFHI A !: Y2S* W 3 H E AT : 30* L EYUSE: 3ED CAS E S=30 NTH : J 3375-CCT 75, J U 376-CCT76 ANALTSTS OF VARIANCE OF 12.EiYUSI N= 90 OUT OF 95 SOU3CE DF SU:! SQTS

.1EA!T SQ3 F-STAT SIGNI?

HEGRISSICH 1

2560.n 2560.4 2.6757

.1055 EEROS 88 84207.

95o.99 TOTAL 89 E6767

10tT R=.17178 3-SQ3=.02951 SE= 30. 9T4 YA2IAdLI 7 A2TIA L CCEFF 3TD E2302 T-SIAT S IGN!?

CON!! AN T

-11.634 4.6 111

-2.5230

.0134

51. A FT E3I't

.17178 10.667 6.5214 1.635d

.1055 l) i

63 s

LEA ST SQUU ES a3 GEES 3IO'l

<10) spit 3 AT: Y S*W Elf E AT : N0*1273SI: HIGH C A $21s M O N Til : JTT :l"75-CCT 7 5, J D 576-CC I76 4:I% LYSIS 07 7.%SI A3CZ CF 15.DEY3SE N= 90 OUT OF 95 3032CE DF SUM SQNS 3EAI SQ3 E-STAT SIGNI?

RIG 2!$SIO:I 1

5485.4 5485.4

.744n5

.3906 E3203 8e

.64841 +6 7368.3 TOTAL 89 65150 +6 MUL T 3=.09154 E-513=.00830.SE= 35.339 VARI \\JLI PA3TIAL CCEFF 3TC ERROS T-STAI GIGNI' CO *! SIA?IT

-28.030 12.796

-2.1105

.0311 51.AETE3Ia

.09159

-15.614 18.096

.d6282

.3906 9

e e

e f

e e

O e

e e

S e

G

./

=

+-

-,n.n v

,-pr~

r v - ~.

60, L2.\\S1 SQUARIS d%GJISSION

<2) SP H E AT : Y3S* W RM 2.\\T: NC* L I735.k: LO W C A SI S =303 T 3 : J r!N75 -CCT 75, J U N 76-CCT 76 ANALYSI3 OF VA'IANCE OF 12.DiV7SE N= 10 00T OF 95 SOURCE DF SU1 SQ3S 3EAN SQR F-STAT SIGNI?

3 ZG:t ESS ION 5

0840.7 1769.9 9.d578

.0000 EBR03 64 15082.

179.55 TOTAL 89 23932.

JULT R=.60810 3-SC5=.36979 SI= 13.399 VA'1IABL2

?A30IAL

.COEFF SID EP30R T-ST Al*

SIGNI?

CoilST A:IT

-6.0709 1.9975

-3.0393

.003?

82.JUU76

.03053

-1.2636 4.5069

.2903c

.7799 d3.J7L76

.26173 11.643 4.6845 2.4355

.0149 4

d4.TUS76

.41984 20.744 4.8923 4.2397

.0001 45.SE'76

.32765 16.341 5.1413 3.1784

.0021 96.0CT76

.34813

-1a.530 5.4442

-3.4036

.00 10 L EAST SQUAR2S 3IG3 ?SSION

<6)

CAS?Swa0 NTH:J":75-0CT75,JU:76-CCT76SEMEAT:T3S*W2 HEAT:30*EE7USI:320 ANALYSIS OF VARIANCE CF 12.CE70SE N= 90 OUT CF 95 S0*3 3 C'Z DF SU3 SQRS

'EA3 SC3 T-STAT S IGUIF 33021SSION 5

13303.

2661.7 3.0436

.0142 EE503 94 73459.

974 51 TCTAL 29 86767 3 DL T. 3=.

3916 4 R-SCG=.1333 3 SE= 29. 572 V A2In dL E PARIIAL CCE7F STD ER3C3 T-STAI SIGNI?

CO N ST A:17

-11.634 4.4033

-2.6391

.0099 92.J U'!76

.12210 11.215 9.9466 1.1275

.2627 33.J 3L 76

.24239 23.673 10.333 2.2894

.0245 34s\\DG75

.25288 25.868 10.798 2.3956

.0188 05.SE'76

.03173 3.3011 11.347

.29093 7711 06.0CT7o

. 17711

-19.393 12.015

-1.6561

.1014 O

a'

, ee -w -

e t

i

65 LEASI S19A9E3 PCG.*T33I31

<10) S P33.< T : YI5 * ~42 :1 E AT : ::0

  • L2 7 US ': !!!Gd*

C A SE S=30 NTH : Jff 3 7 5-CCT 75, J U E76-CCT75 ANALYSIS OF.712IANC3 CF 12.CIYUSI N= 90 CUT'0F 95 SOURCI DF SU3 SQ2S 1EAN SQ3 F-STAI SIGNI?

2333153!0N 5

26951.

5390.1

.72219

.6086 ER202

-94

.62695 +6 7463.7 TOTAL 89

.65390 +6 3 GL T 't =. 20 30 ?

2-SC =.04122 S:=.9 6. 3 ? ?

7ARIABLE PA3TIAL CCITF STD E7 EOR T-STAT SIGNI?

COUSTANT

-29.030 12.379

-2.1764

.0323 32.J0376

.02210 S.9E73 29.0S9

.20260

.8399 83.JUL7o

.017.92

-4.9347 30.203

.1633a

.9706 94.43G76

.02957

-!.2641 31.546

.26197

.7940 95.52?7o

.09329

-26.457

33. 143

.95876

.3929

~

do.CCT76

.18163

-59.u19 35.101

-1.6925

.0942

~

4 4

e

66 DESC3!PTI72 3?ASU3 23

<2) SPUEAT: YES* 23HE AT: 30 *LEVUS E: A *.L C AS 2 S= iiO UT1: JU N 76-CCT 76 VA2IABLZ 3

MINIZU3 MA%I30:1 M4AN STD 3E7 1.A7!USE 45 424.61 540.09 475.39 24.674

11. EXPrJST 45 422.95 171.89 479.50 36.185 12.DEYUS2 45 -48.219 30.182

-4.1070 19.009

(

LEA 3I SQUA323 ETGaiSSION

<2) SP'IE AT : YES* 32.4 2 AT: 3G* L E7USI: ALL CASO!=3CNTH:JU375-0CT75,JU576-CC075 A'TALTSTS 07 7A?TANCE OF 12.DEVUS"

'i= 90 007 0F 95 SOURCE DF SU'i SQ3S

{EAN SQR F-STAT SIGNI?

REGP ESS ITi 1

170.30 773.30 2.3353

.1300 E3HCE 98 29024.

329.82

' TOTAL 39 29794 3 ULT 2=.16080 R-SQ2=.02536 S2= 19.161 V A2IT3L E PARTIAL CCEFF STD ERDOR T-STAT SIGNI?

CONSTANT

-9.7584 2.7073

. -3. 6 7 d4

.0004 51.AFTERI3

.16080 5.9514 3.3286 1.5293 1300 i

L.-

.w

  • e ammemo*
  • e-==

~

e 67 LE ASI SQU Aa 25 2iG21SS IO:1

<2) SOHI\\T:Y33**J UH2 AT:NG* LE7U52: ALL C AS 23=40*: H: JU'!75-CCT75, J U:37 6-CCT76 ANALYSIS OF VASI.t:;C2 0F 1 '2. D E70SI N= 90 CUT CF 95 SOURCI DF SU.1 SQ33

.1?AN SQ3 F-STAT SIGNI?

R!G3ESSION 5

8847.2 1769.4 7.0957

.0000 3 REC 3 84 209u7.

249.37 TOTAL d5 25794.

. TULI a=.54493 d-SC5=.29694 SE= 15.791 7A2IABLI

?A2TIAL COEFF SID EE30Tt I-STA1 SIGNI?

CON ST A:IT

-9.9534 2.3540

-4.2303

.0001 32.JUN76

.06301 3.1129 5.3114

.58607

.5594 91.J UL 7e

.25968-13.550 5.5207 2.4544

.0162 64.30175

.3u9M 19.744 5.7662 3.4242

.0013 95.52?7G

.16123 S.0720 6.0591 1.4c72

.1381 86.0CT7e

. 15578

-22.385 6.4160

-J.4891

.0009 e

9 I

s e

e D

G e

e

9 6R 9 ESC 3IPTIVI 1 Agut!3

<'4 )

C AS E S =.".0 N O!!: J03 76-00 T 75 S PaI AT: rgsewagjga 7: y gn= t gyg33: t ch 7A2IA3LE N

3INIMU3 MAXI 3U3 DEAN STD 3Z7 9.AVIUSZ 45 472.83 582.63 521.15 3.1.995 11.ZI"73E 45 475.S$

637.22 532.31 57.479 l'.DE7US?

45 -65.C66 27.303

-11.159 26.446 02SC RIPTIV2 11 ASU3!S C TSE S = dO N"!!: J U ti74-CCT76<3 > 5 5HE TT: Y23*W3:iE AT: Y ZS*LIVUSE 7ATIhBLE N

MI!!I MU.1 M A XI.17 3 DEA!!

9TD D E7 9.AVIUST 45 1003.9 1258.3 1109.6 99.621

11. f X*' US' 45 1029.6 1377.0 1158.8 130.64 12.017US?

45 -12 6.CS

-2.5599

-49.204 35.883 DESCSIPTIVI12kSUR23 C AS ES = DON T9: J U376-CCT76<12 > S 7HE AT: YIS* W2H E AT: YIS* L17 7 ARIA 3LE' N

.1INI3U3 3AZIMUS

.12AN SID DE7

9. A 72DSE 4S 1778.0 2203.9 19 d 4. 3 129.89 11.EX?U32 45 1958.2 2339.4 2064.8 150.55 12.DE7UST 45 -225.64

-4.5707

~40.41a 52.448 0

S TP P4 q

>a g gyp m--

-4 m

e-e e-

'-r

  • 'r---

69 e

1 i

l 1

?,2 A S T S:J U.\\Et3 EEG;: 2SS IO N

<4) 3 FH T AT : Y 25='d Eil E.TT: Y ES* t EVUS E : L O W CASTS =30 NTH:JUN75-cCT75,JU576-CCT75 ANALY215 0F VAEIANCE OF 12.DZ7952 N= 10 CUT CF 95 SOURCE O F.

SUN SQRS MEAN SQ3 F-STAT SIGNIF R =G RESSICN 1

549.92 548.42

.7316e

.3947 EBECH 88 5600s.

750.10 TOTAL 39 66557.

10L T 3=.09081 C-S0E=.00825 SE= 27.333 VAlIADLE PARTIAL CCCFF STD E2?O3 f-STAT SIGiIF' CONSTANT

-16.097 4.0327 3.9429

.0002 51.AETi?I2

.09091

4. '3 3 d 8 5.7739

.85537

.3947

,LEAST SQUA22.5 2EGE75SION

<9) S?flI A T : YES= Uli2 AT: YES

  • LI7US? : ".ED C A S E S = 'iC 30.1: J U N 75 -CCT 75, J U s76 -CC T75 ANALTSd OF VA2IAliC3 0F 12.3EV75E N= 90 CUT CF 95 i

SOURCE DF SU3 SQ3S tiEA!! SQ2 F-STAT SIGNI?

HEGSESSICN 1

7449.7 7449.7 3.3627

.0701

!3HCS 96

.19495 +6 2215.4 TOTAL 89

.20240 +6 30L T 2 =

19195 2-SQE=.03691 SE= 47.063 V ARI AST.E PARTIAL CCEFF STD FJRO S T-STA T S!GNIS C0JSTANT

-31.009 7.0165 4.4193

.0000 51.4FTERI2

. 19195

-18.196 9.9223 1.8338

.0701 e

q-

-r

,.m_.

_ _ ~.

70 L E A S T SQ U AR 25. ' G2 E3S 10 3

<12> S?HE A T: YES* *="tHEAT: Y25 *LE7USE: HIGH C AS IS= 3C NTit : JU N 75 -CCT 7 5, J U '!7 6-CCT76 UTAL YSIS OF 7 ARI ANCE OF 12.DEVUSE N= 90 CUT OF 95 SOU2CZ DP SU3 SQHS MEAN SQR F-STAI S IGNIF SEGRESSIC3 1

49291.

49291.

10.81'1

.0015 ERHOD 88

.40124 +6 4559.5 TOTAL 89

.45053 +6 3UL T 3=. 3 3077 2-SQa=.10941 S!= 67. 524 7 A? IA BLI PA2TIAL CO2FF STD OE ?.0 E T-ST A l' SIGNIF CON ST A:I"

-33.613 10.066

-3.3191

.0012

51. A FT EP ID

.33077

-46.005

14. 235

-3.20SO

.0015 e

9 f

O l

e e

e i

t3

()

,.+

-,y y-w ww.-

---F

1 J

71 i

LEAST SQUASES~2EG2ESSION

<4) $ PH7 A T : YZS* W3 H3 AT: YES

  • LE73 SE : LOW C ASES= MC NIH : JU h 75-CCT 75, J U:i7 6-CCI76 A3ALYSTS OF 7AdIANCi 0F 12.UIVUSE N= 90 CUT OF 95 SO7EC?

DP SU3 SQas MEAN SQ3 P-STAI S IGNIF BiGRYSSICN 5

28937.

5767.3 12.843

.0000 ER303 84 37721.

449.05 TC*At 99 66557.

27LT ?=.65423 2-SQ S =.41326 SEs 21.191

~

VA2IABLZ PA2TIAL CC2FF STD IR Ro a' T-STAT SIGNI?

1 CONSTANT

-16.C97 3.Y590

-5.0956

.0000 i

8 2.J UN76

.17191

-11.4C0 7.1276

-1.599u

.1135 93.J7L76

.29601 20.266 7.4084 2.7356

.0076 84.A9376 41372 32.229 7.7378 4.1649

.0001 i

a5.33?76

.2344J 17.971 B.1309 2.2102

.0293 36.0CT /6

.15337

-41.262 9.6099

-4.7924

.0000 j

i L2AST SQGA?ES R EGR ESSIO N

<R > SPSE A T: Y35**f 2 HEAT: YES

  • LIVUSI: MED CASES =dCHIH:JUN75-CCT75,JU576-CCT76 DIALYSIS OF V ARIANC3 CT 12.DIY1SI N= 90 CUT OF 95 SOURCE 3F SUM SQ3S 3EAN SQE F-STAI S IGNIP 32G33SSION 5

59254 11951.

6.9540

.0000 452C3 94

.14315 + 6 1704.2 TOTAL 89

.20240 +6 2

.10LI E=.54106 P-SQG=.2327 5 SE= 41.282 VARI %DLZ FASTIAL CCEFF SED EUR02 T-ST AT SIGNI' CO N S'L A NT

-31.003 6.1539

-5.0187

.0000 82.JUN7o

.23003

-10.0E0 13.885

-2.1664

.0331 d3.J UL 76

.09144 12.146 1a,432

.d415e

.4024 34.\\U176

.07006 9.7026 16.074

.64367

.5215 AS.SZ?7o

.07263

-10.571 15.340

.66739

.5064 Bu.OCT76

.43447

-o7.451 16.773

-5.2139

.0000 l

~

(

I

72. '

LEAST SQUAa:S REGreESSION

< 12> S?* AT: YES* WPEE AT: Y25 *LIVUS E: HIG3 d

C A 32 S =.103 :H : J!!N 75-CCT 75, J U 5 7 6-CCT75 ANALYSIS CF V13IANC3 CF 12.CEVUSE fl= 90 CUT OF 95 507RCE DF SU3 SQ2S

.5EAN SQ3 F-STAI S IGNI*

E!GH2SSIOs 5

.1520u +6 30409.

8. 55 76

.0000 E3P.03 84

.29649 +6 3553.4 TOTAL 89

.45051 +6 3 ULT 2=.53C93 3-503=.33742 SE= 54.610 VA2IA3LE PARTIAI CCEF? '

STD EF202 T-STAT SIGNI?

CONSTA 3T

-33.613 S 9562

-3.7826

.dOO3 92.JUN76

. 13047

-24.192 20.050

-1.2061

.2312 8 3.J UL 7 o

. 01112

-2.1248 20.940

.10196

.9190 34.AUG76'

. 16027 32.312 21.767 1.4861

.1405 85.Si?76

. 27554

-60.097 22.872

-2.6271

.0102 86.0CT76

. 55871

-149.54 24.220

-6.1742

.0000 e

e o

I i

(

e m

.w a

-v

+

g

-u y --

g-g9e-

73 D ESC 31PTIVE 3 E ASUR ES

<4 > SPHE AT : YSS *'423ZAT: Y E3*LE.7USE: ALf.

C AS ES= 30378: JU 576-CCT76 VARIABLE 3

dINIMU3

.1 AZ I TU 3 3 EAU STD DE7 9.A7:USE 45 E50.73 1023.9 919.83 66.162 11.EIPUS 45 E62.91 1119.0 952.95 92.586 12.057052 45 -99.031 8.3905

-33.123 30.7S0 i

LEASI SQUA2ES a!GRE3SION

< 3 ')

SPIII AT :YES*W3 H E AT: Y ES* LE7USE : A LL CAS25=M03tH:JU375-0CT75,JU576-CCT76 A N AL YS IS O F 7 A C I A'NCE C F 12. D E 70S!

3= 90 CUT OF 95 SOURCE OF SU'1 SQ2S

tEAN SQR

.F-STAT SIGNI?

/

F EGR ESS IO N 1

2122.J 2122.0 1.3922

.2251 232C3 89

.12514 +6 1422.1 TOTAL 89

.12726

+6 3 ULT a=.12913 R-SQR=.01667 SE= 37.710 7AdIABLE P ARTI AI.

CCEFF STD ER30R T-STAT SIGNIF CONSIA':7

-23.412 5.6215

-4.1647

.0001 51.AFTEET3

..12913

-9.7115 7.9500

-1.2216

.2251 t

e

~+

74 SEHE AT :Y3S*WRIIE AT: YIS* L EVUSb: ALL LE ASI SQU.13 2S REGa* *SSIO:4

<4)

C AS ES=:to:IT H: JU '!75-CCT 75, J 0576-CCT 76 ANALYSIS OF VARIA: ICE OF 12.DEVUSE N= 90 CUT OF 9.5 SOURCY DF SU1 SQ3S

.fEAi SQR F-STAT SIGNI?

S EG2 2SSION 5

41247

.4247.4 8.0560

.0000 233C3 84 86017.

1024.0 TOTAL 85

.12726 +6

.1UL T a=. 969 30 2-SGD=.32411 SE= 32.0J0 7ARIABLE P APTIA L COE7F 3?D EUROE I-S1'A T SIG!iI?

CO:ISTANT

-23.412 4.77.03

-4.9079

.0000 3 2.J U:176

.19966

-19.055 10.763

-1.7704

.0903 83.JUL76

.13922 14.415 11.187 1.2885

.2011 44.A7G76 14556 15.75o 11.635 1.343c

.1912 85.32?76

.02025

-2.2770 12.273

.18561

.8532 26.oCT76

.51043

-70.732 13.002

-5.4402

.0000 o

O e

E e

75 Appen.lix D. Sutsample Sizes 37 Subgroup And Subsa=ple, 1975 Sa :!Ple PATE 2 ATi2 US?

SUBSA.9 ELE 3U1922 CF GECUP HIATI5G CLASS C7STOMS2S A

40 LC4 JUL75 3330

\\

3C ICW DEC75 3399 4

30 1ED J9L75 2056 i

NO 3EC EEC75 2096 A

No HIGu JUL75 256 A

NO HIGH CEC 75 250 A

Y 2.5 LC2 JUL75 1149 A

YE3 LCU DEC75 1102 A

Y2S MZO J7L7S 521 1

125 3hc DEC75 55o

~

A YES HIGH J7175 167

\\

YES HIGH EZC75 188 A-1 30 LOW JUL73 1064 A-1 NO ICW DEC75 1117 A-1 3C MEC JUL75 455 A-1 NO MEC EEC75 462 A-1 40 IIIG E JUL75 197 A-1 No HIGH CEC 75 184 A-1 YES LC-JUL75 4970 A-1 Y2S LCW DEC75 5403 A-1 YES MEO JUL75 2?25

.\\- 1 TIS 5ED CEC 75 3200 A-1 Y2S HIGH JUL7b 1735 A-1 YES

!!IGH DEC75 1695 9

a I_

y a

+-

.p,

_+

w


.g,-.w-y w

e-g

me+

6o'o-

%e e '

4-,5 w

76 Appendix 2.

Timeseries Flcts of Monthly Use By Subclass, 1975 Sample Uvithcut Water geatigt g v qso FE3 7'l

+

3A274

+

=

APR73

+

e MAY74

+=

J U.174

+

  • JUL74

+

e A UG 74

+

e SEP74

+

a OCT72

+

30774

+

e DiC74

+

e JAN15

+

F2375

+

~

' A815

+

e APH 75

+

=

2AY75

+

J U U 7"i

+

JUL75

+

A0375

+

i SE??S

+

~ ~

OCT75

+

e NOV75

+

a DEC75

+

~

3

_+_

+____+-_ _ +____+___ +_ __.+

-_+____+-___+

241.12

=264.15 237.18 US ? (K'4 R) 251 64 275.66 293.69 i

)

l l

i l

(b

-.-p=

y r.,

--wn,-

r.

r s.

  • e-e>

r

i

.)

77 1

l A(Withcut M te: Hen +ino) Low 4se

?2874

+

=

3AH74

+

  • A?"74

+

3AY74

+

JUU73

+

JUL74

+

e AUG74'

+

S2P74

+

=

CCT14

+

e N0774

+

e DEC74

+

JA375 *

+

?!375

+

=

3A275

+

A? ?.7 5

+*

1A?75

+

JUN75

+

=

JUL75

+

=

AUG75

+

S2?75

+

c OCT75

+

NOV75

+

CIC75

+

=

+----+----+----+----+.-__+_

+____w___

5.3417 1.3529 7.7476 C07 1.0444 4.5503 10.945 e

e

(\\

e v.'*e u m w w-w w.m =*,

s 9iy=-e-A

.y 7

9,y-.,-

,.._yww s eg -

T

'rr--'c-

=

78 A (with ont :a t e; @.1 t i n o) ;<ed iso FE374

+

~,

MA274

+

A P S 7'4

+

=

M AY 74-

+.

  • JUN74

+*

JUL74

+

AUG74

+

SEP74

+

e OCT74

+

NOY74

+

e DEC74

+

JA375

+

F3375

+

NAa75

+

APR75

+

=

NA775

+

  • J U '.175

+

=

JUL75

+

AUG75

+

SEP75

+

OC175

+

NOV15

+

DJC75

+

+-~+-

n--+---+----+---+----+----+---+---+

~

609.79 666.61 723.44 US2 (KWH) 639.20 695.02 751.85 t

4 e

h

(-

i I

f 1p fy-

=

y

=,-, -

1 c

y

-,vy-= - -

-+-,.-e


=w t

-' -- - w 1--

_w..

e.

--r,,,

1 79 3,,,[ v i t h o u t cater aeatinn) w a a,

.7 sa FED 74

+

~

=

3 Ad 7'4 6

A.' 2 7 4

+

3 A Y 7'4

+

J3374

+

JUL74

+

s-AUG74

+

SEP74

+

OCT14

+

N0 Y 14

+

DEC14

+

JAN75

+

FE375

+

MAR 75

+

AP'15

+*

MAY75

+

JU375

+

's JUL75

+

AUG15

+

S2P75

+

I OCT75

+

10'175

+

D2C75

+

+ -

+ _ _ + - - _ _ + _ _ _ +

_ _ + _ _ _ + _ _ + - _ _ + _ _ + _ _ _ _ +

-11.957 4.8999 21.755 DEv (K a)

-3.5292 13.327 30.193 J

i I

i 5

.~..-, - - -,

90 d.fylth ou t ' Jays geating[ g g qsn MA374

+

a APD72

+

MAY14

+

e JU373

+

JUL74

+

AUG74

+

SEP74

+

OCT74

+

=

NOV74

+

D4C74

+

JAN15

+

FE375

+

MA275

+

AP375

+

?.AY75

+=

JUN75

+

=

JUL15

+

AUG75

+

SEP75

+

OCT75

+

=

UOV15

+

, DEC75

+

+ - +____+____+-

_ + _ _ _ + _ _ _ + _ _ _ _ + _ _ _ + _ _ _ + _ _ _ +

1238.1 1393.5 1543.8 UST (K;iH) 1315. E 1471.1 1626.5 4

4

(-

i i

i I

e E

=

e 81 A ( d ith cr3 t '.*.i t e r H e a t tyL U<-3

  • f s,

. F3374

+

=

.1 AJ 74

+.

AP?74

+

uY73

+

=

JUN74

+

JUL74

+

=

AU.174

+

S2P74

+

=

OCT74

+

NO V 74

+

DEC74

+

J A375

+

=

PED 15

+

1AR73

+

A?R75

+

'.1 A; 75

+

=

JUN15

+

JUL75

+

=

.MG 7 5

+*

SEP75

+

OCT75

+

NOV75

+

DEC75

+

+--e--+----+--+---n_

+ - - - + - - - - + - - - - + - - - -,

13.S88 38.319 90.526 DEV (KWF.)

12.216 64.??3 116.63 i

i 9

/

6 p.

t9-'$

  • 9w.+~g9. v-, - ---

g y-wg pg 9g-y-

y y

y

+. - ~ ~

-g-

\\

i 92 3(vith *i a t e r H e a tin al, T.o v rise rza74

+

=

MAR 74

+

- j AP"i 7 4

+

9AY74

+

J3574

+

JQL1%

+

AUG74

+-

SEP74

+

CCT74

+

i NOV7ts

+

CEC 74

+

JAN75

+

FIS75

+

?.ad 75

+

Apa75

+

71Y75

+

JU'75

+*

J JUL75

+

A UG'8 5

+

S:?75

+

CCT75

+

Nov75

+

CIC75

+

+

_ + _ _ +

_ +. _ - + _ _ _ + _ _ _ _ + _ _ + - - -. + - _ _ _ + - - - - +

520.53 553.72 586.92 US E (K 4H) 537.13 570.32 603.52 1

l l

1 1

e v-

+,

.,.,,,3..-

,.c---

~._

93 Ahith N at es i!e a

  • iML 7 py, ris e FE374

+

.a1 A H 7 4

+

Antt ? 4

+

M A Y 7'4

+

JUN74

+

JUL74

+

A!TG74

+

S??74

+

OCT74

+

NOY74

+

=

CEC 74

+

JA175

+

EEU75

+

3A275

+

AP.975

+*

3AY75

+

J7;i 75

+

JUL75

+

\\UG75

+

SE975

+

CCT75

+

110 775

+

CEC 75

+

+ - - - - + - - - - + - - - - + - - - - + - - - - + - - - + - - -

---+----i----+

-13.715 7.1?32 4.5489 D EY (KWII)

-13.064 1.3222 10.420 i

a Q.

e

= - - ' -,

f a y-w w ee wv.-,g

-ey--

w

=

y

.m, n-.

,..,,-...-r -r+

-r

-e-

--t-

--m'

f 34 A (with 'Jat er geeing 3J rise FE374

+

3Aa74

+

=

AP274

+

MAY74 JU314

+

JUL74

+

AUG74

+

S??74

+

OCT74

+

!!O774

+

=

CEC 74

+

.Ta375

+

=

FE375

+

4A375

+

APS75

+

MAY75

+

J'T U 7 5

+=

JUL75

+

AUG15

+

SIP 75

+

CCT75

+

'!U V 75 t

DECi5

+

+----+---+-__-+-_--s----+----+____w_',-_-_,--__+

1023.6 1097.0 1170.3 USE (K 4H) 1050.3 1133.7 1207.0

/

I e

e 5

1 I

m y

-_v.

.y,-m._.

O

~

95 TE374

+

MAH74

+

. APR74

+

MAY74

+

JHi? 4

+

JUL74

+

AUG74

+

52?74

+

CCT74

+

NOV74

+

CEC 74

+

JAN75

+

FEB75

+

\\

MA375

+

e A?S75

+*

MAY75

+

JU:175

+

JUL75

+

AUG75

+

w 52P75

+

OCT75

+

NcV75

+

U2C75

+

i

+----+----+---- + - - - + - - - - + - - - - + - - - - + - - - - + - - - +----+

3J.333 11.129 9.8792 DE7 (K"H) l 22.534 92507 20.634 l

l

(

I f

O 4

-a**

e+ e eu-W., y -pr s w e,qgy._

,,m-,.***gew-'

--e+w e-Wet

  • sv+w=-**"e w w e

r y.w,u se=

w w

---*-*-~,-m

--- - = - - -e

=

96 A (*di$h 'il.t.gE H eat inSL Sfiih !!se MAH74

+

APE 74

+

MAY74

+

JUN74

+=

JUL74

+

AUG74

+

=

S!?74

+

OCT74

+

e N0774

+

D EC 7'4

+

JA375

+

?Ea7S

+

MAa75

+

AP375

+

MAY75-

+

JU375

+

=

JUL75

+

e AUG75

+

=

SEP75

+

OCT75

+

=

!!O775

+

DEC75

+

+ - - - + - - - + - - - - +

-+

w __+-__.

1715.6 1875.6 2035.7 US E (F.Wii)

(-

1795.6-1955.6-2111.7

(-- -

G' 1

z

97 i

l 3,(with M g Efettir.gl 'Ti7h Use FE*14

+

+

34374

+

A P P.14

+-

)

3AY7'4

+

JU374

+

JUL74

+

=

AUG74

+

SEP74

+

CCT74

+

30774

+

DEC74

+

=

JAN75

+

FEB75

+

=

3AR75

+

=

AP375

+*

MAY75

+

JU375

+

=

JUL75

+

AUG75

+

S?F75

+

CCT75

+

r07 75

+

, DIC75

+

+--+.--_+____+-___,__2

__+____+____#____.

-75.586

-28.407 18.772 DEV (K'4H)

-51.997

-4.81'S

42. 362 i

s G

9

(.

9'

+e=

%e..

Y cq w

e--vr-r w -+

ra=-a v-

88 A-1 f vithcut Wa ter Sea ting) Lg-3 7s3 P2874

+

MAH74

+

APR74

+

MAY74

+

JU374

+

I l

JUL74

+

AUG74

+

S2274

+

OCT74

+

NOV74

+

DEC74

+

JA375

+

FEB75

+

Mia75

+

AP375

+

3AY75

+

=

JU375

+*

JUL75

+

=

AUG75

+

SEP75

+

CCT75

+

30V75

+

DEC15

+

  • ____+___r

__+____+_ _ +____+ __ +___+____+____,

190.61 154.57 519.12 USE (K7H)

,272.74 436.99 o01.24

(

k f

t 9

D k

Bk~

~

_)

s 39' A-1 ( wi t h ot2 t Wa ter flea tin 7) Lov Use FID74

+

3Aa74

+

APR74

+

MAY74

+

J 7:I14

+

JUL/4

+

AUG74

+

S3?74

+

OCT14

+

NO774

+

DEC 74

+

JA175

+

Fell 5

+

't 33 75

+

AP375

+

%Y75

+

JU475

+-

JUL75

+

A7G15

+*

SEP75 OCT75

+

.!0775

+

02C75

+

+ __.:.+ _ _+____+ _ _+__ _+____+____+___+____+____+

-92.221

-46.612

-1.0021 DS7 (K38)

'-69.41e 23.907 21.303 e

i l

i

(

x..

yeg^-

v 1_

e

---7'*-

90 A-1 (vi.t h o u t ! a teg 3 eat inct) ged use M AR 14

+

e AP874

+

e MAY74

+

JU:174

+

JUL74

+

AUG73

+

S3P74

+

OCT74

+

N0774

+

=

DEC74

+

s JAN 75

+

FZ375

+

Tu75

+

=

A?R75

+

3 1AY75

+

J7375

+*

JUL75

+

A3575

+

53P75

+

Cc!75

+

30775

+

=

DIC75

+

+----+-- ~ +----+----,----,---_+____,_-__+_-_-+-_-_+

5H.54 1042.6 1495.6 US E (K73) 810.05 1269.1 1'22.1 e

e e

(_

m.

w

--.e m.-r--

g-w e

w--=

W'W

=

e e.

91 h y vithout 'Ja t er !! eat in 7) dd fine rE37u

+

3A374

+

A?R74

+

MAY74

+

JUN74

+

JUL74

+

AUG14

+

SE??4

+

OCT74

+

MO V74

+

DEC74

+

JAN75

+

FE375

+

.1 A3 75

+

AP'75

+

.51Y75

+

JU375

+

JUL75

+

AUG75

+

S2075

+

OCT75

+

'!O V 75

+

DEC75

+*

+ - - + - - - - + - - - - + - - - - + - - - - + - - - - +,---n---+----+----+

-112.40

-39.630 33.143 D EV (K:iH)

-75.016

-3.2432 69.530 S

e e

!.s.;

~

-m 9--

_,y

O-92 A-1 Wi.th ou t

'7 a t s t-Heatp q) 3fgh Use MA374

+

APR74

+

MAY73

+

JU374

+

JUL73

+

AUG74

+

  • SEP74

+

CCT74

+

NOV74

+

=

DEC74

- +

JA375

+

FI275

+

=

1A375

+

APR15

+

Maf75

+

JU375

+*

JUL75

+=

AUG75

+

  • SEP75

+

OCT75

+

N0775

+

DEC75

+

+ __~

-_--+-__ + - +_

w

_.,w_

__-+____,- __+

1272.2 2263.0 3453.4 U S2 (K is) 1767.6 2759.4 3749.,2 l

l

\\..

9 a

.m a

y+ my.=

yv?

g

,y

93 e

3_i,3, M h

M B without gaj;3; !!oa t ino) t FU374

+

M AR 7'4

+

A3 314

+

1AY74

+

J'i?! 7 4

+

J!!L74

+

Aid 74

+

-S2? 73

+

OCT74

+

Nov74

+

DEC74

+

JAN75

+

FE375

+

M.AR 75

+

A?F15

+*

M AY 75

+

J'13 7 5

+

JUL75

+

=

AUG15

+

S2275

+

CCT75

+

  • 10775

+

CZC75

+-

,____+-___+-___+ ___+____+.

+ ___+____,___+____+

-245.33

-83.256 7E.816 D Z7 (K2H)

-164.29

-2.2199 159.95 t

e e

/(.i e

94 d

A-1fvith 'lat er II s at ina)

I. c v

'f u i

FE3 74

+

=

MA374

+

I AP*14

+

e

.1AY74

+

JUN14

+

.7UL 74

+

  • AUG74

+*

SEP74

+

CCT74

+

NUY74

+

e DEC14

+

=

JAN75

+

=

F1375

+

1A375

+

A?C75

+

e

.1.4. Y 7 5

+

J 0't ? 5

+*

JUL 75

+*

A7G15

+

S3?75

+

ccT75

+

30775

+

DEC15

+

e

+-+.-__+._-+____+____+___+_-__w__,____,____,

460.46

  • 909.13 1357.6 US E (K7H) 684.90 1133.5 1532.1 I

e a

e

/

( -

O

  • = -

M 4gg

--m3 ayg----r-um g--g mmrg-r-g

-y w-y-g-g--

j 95

)

3,- 1 ( v i. t h 'Ja t e r H e at i;21 Ov ry s,

FIB 74

+

=

3 Aa 74-

+,

A?274

+

5AY74

+

JUN74

+

JUL 74 AUG74

+

SEP74

+

O C'" 7 4

+

NOY74

+

DEC74

+

JA.175

+

FED 75

+

MA275

+

A?375

+*

3AY75 J f13 75

+

JUL75

+

AUG75

+

SEP75

+

CCT75

+

30775

+

DIC15

+

+---+----+---+--_+----n_+---+---+----+----+

-101.93

-34.124 33.730 D CV (K*JH)

-66.051

. 19725 67.656 i

9 I

(

A 4

e **-

e

=

.,m-

96

.A. - t ( w i t h Ta t e r 94 a *. i n tQ 3j g F 374

+

- l M A2 7'4

+

=

A?R74

+

MAY73

+

e J'f 3 7 '4

+

.TUL 7:4

+*

A UG 7t4

+*

S3P 7f4

+

CCT14

+

N0774

+

DIC14

+

=

JA375

+

=

FE375

=

34a75

+

AP375

+

MAY75

+

=

J 7:175

+*

JUL75

+*

A'Gi5

+

+

CCT75

+

!O V75

+

CIC75

+

=

+-_ ~ +_ - _+-___+- __+____+

910.31

      • 'e a

2851.5 USE (K7H) 14'48.1 2393.7 3319.3

(

(.

O en Jae r-d

='1. ar-

-<.+vf

-e

-~

e

e 97

),- 1 f v i t h '3atg rient in 5ed go.

n s,4 MAR 74

+

=

A?!74

+

e MAY7'a

+

=

39:174

+

e JUL74

+

AUG74

+

e-SRP74

+

=

OCT74

+

e MUV74

+

e DZC14

+

=

JA:175

+

fEB75

+

e 9A375

+

A???5

+*

MAY75

+

=

1 JU:l? S

+

=

JUL75

+

=

AUG75

+

e

!??75

+

=

OCT75

+

!!O V 75

+

DEC75

+

e

+----+---+---+-__+._w

-.____+.,__,_,_,#____,

-1d3.34 42.647 96.548 D Ev (xW!!)

-113.2n 27.950 169.14 i

t O

h e

(-

9 e

+

.-w

-,e

99 E:1 lt'h 12525 $28tLn 91. E}\\2h M yg

,q

(

M AE 7'J

+

e APR74

+

e 5 A ZT4

+

a JU374

+

JUL 74

+

  • A ffG 73

+*

SEP74

+

OCT74

+

=

NO772

+

e DEC74

+

s JA375

+

FE375

+

e

t A375

+

=

A?? ? S

+

1AY75

+

J7:175

+*

JUL75

+=

AUG75

+*

SEP75

+

  • OCT75

+

liC V 75

+

DEC75

+

+----+---- + - - - + - - - - + -

+ - - - + - - - + - - - - + -

- +.. +

1773.5 3005.4 4232.2 US E (K7H) 2391.9 3619.9 4845.7 i

O e

e e

l i

9

c..,.

G M.

so'

  • g**'W+

.~... -

99 4-1(vith Tat er Heating Mjh fMa TS924

+

1.1273

+

A?374

+

MAY74

+

J'J:174

+

J U I. 7'8 AUG74

+

SIP 74

+

CCT74

+

NOY74

+

DEC14

+

JAN75

+

FIS75

+

1A375

+

A'375

+*

1A?75

+

Jn375

+

.10!.75

+

AU175

+

S2P75

+

=

OCT75

+

10775

+

DEC75

+

+--__+ - +.---+-_ _ +-..+-_._ +____,- -.+.__+..__+

224.54

-58.3C4 107.97 D E7 (K7H)

-141.4'1 24.935 191.11 9

4 0

+=

,--e

100 Appendix 7. Oeqression Analysis For !ach Sobgroup, 1975 Sample i

The tolicwing pagos contain the detailed analysos of d evia tions in useage.

Those analyses ha ve been suzmarized in Table 2 and discusJed in the text. Additional insights can be gained frca careful review cf the complete tables that follow.

These analyses deal with the rate gr ups in the following order:

A (without wa ter hcatin g),

A (with water hea t ing),

A-1 (wi th o u t water heating),

and A-1 (wi t h water heating). The analysis of each rate group ccasists of the follcuing parts:

Ut) Suasary r atistics describing the variaales "A72USE" average south Pi use per customer by

onth and subsa m ple, i

" 2 X? U SI" the expected average use per custo:er given vaat her conditions, and "C273SE" the deviations between actual uso and expected uso. These cussary statistics describe the months since the Jaaua ry 1975 rate in crease.

All three use classes are described.

(b) sisple regrassions relating DEvUSZ to a

varia b le

" AFTE3In" which takes the value ene fcr the months a f ter January 1975 and the value snee la earlier iccths.

The coefficient of this variaola ( +. 0 610 6 in the A, without water hea ting, low uso subgroup) Jivos the change in the deviations in the eleven conth period af ter the January 1975 este change, shown in column 4 of Ta ble 2.

The significance o f this coefficient (.5721 in the A,

(_j vithout water heating, icw use case) is coported in column 6 of

101 Table 2.

The statistical siJnifica nce gives the probability of the data showing a change of this magnituds simply due to chance, assusing nc real change. The smslier the number given in the signiricanca column, the greater the statistical confidence of a rea,l ' change in consumptien. Mumbers smaller than

.05

.are usually considered to be significa n t.

Technically, the statistical significance provides the probability of making s

cerer in testing 'the cull hypothesis tha t there is no typo ene change. The porcentsge cha nge repceted in calcun 5 of Table 2 is calculated by dividing the coefficient cf \\7TIP.Iq by the mean of EIPUS2 obtained fres the descriptive measures.

(+. 3 o 10 6 divided b y 2 6 c. C'4 )

f (c)

A

seccni, sore elaborate regression analysis is i

provljed for each sungrauc. These regressicas utilize variables FR3 75, 3% d75,...,E EC7 5 which are one for the corresponding month and zero tor cther sonths. The coefficiants of these variables show the deviaticns between actual use and, expected use f or each of these months.

The column marked SIGNIF provides the significa nce of these deviations.

All three types of sta tistical analysis are then providad for the entiro rate group, comprised cf all three use classes.

In tha case of A-1 rate groups, all analyses are based solely on the zonths Junc throughs Cctober during which inverted ra tes would apply.

(-

=

..--e L

102 DESC3I?TIVE 33ASU7ES

<1 > SPHEAT: N0

  • WRUSAT: 30* Li7US E: LO*4 C A S ES=.t C'ITil:

FEB 7 5-Dr.:C75 VA3IADLI N

MINIMU3 MAIIMU3 MEAN STD DEV 9.AVEUSE 17 241.23 204.69 271.56 18.664 11.EXUUST 17 233.39 301.96 269.04 21.055 12.DEVUSS 17 -e.0721 12.026 2.5183 5.5147 DISC SI?!I7E.t2ASUEIS

<5> SPSIAT::!O* WDHEAT:'!O *LE7US E: 3ED C AS ES=30:IT H:

T EB 75-DEC 75 7A2IABL7 1

3:NI303 5AXI3U3 3CAN STD DE7 9.A73!!3E 17 609.44 739.23 677.65 45.27"i 11.dX?USE 17 591.64 723.89 671.22 48.627 12.0E7730 17 -16.186 21.962

6. 234 10.309

.uwC DESCSI2!IVI 3EA30EES

<9) SPHE AT: 30* WPIII AT: 50 *L E7CS E: RIG 3 CA52S=dCNTH::T2275-DEC75 VARI = ELE 3

5TNIJUM 3 AII5G M 3EAN STD DEV 9.AVIUSE 17 1216.2 1696.7 1416.6 125.39 11.EX?USE 17 1133.4 1614.4 1367.7 122.62 12.DE7USE 17 -20.420 134.31 48.909 44.713

~

e O

__ m 103 e

LEA 31 SQU A3ES ??G3 ESSION

<1) SPEE A T :IC* THHE AT: 30* LIVUS E: LC7 A NA LYSIS C7 7 A3I A' ICE O F 12.DIV75E n= 36 0UT OF 228 SOUaCE DF SU1 SQSS 3EA:1 SQR F-STAT SIG3I?

HEG R ESSIC 3 1

6.6522 6.6522

.32540

.57 21 E23C3 34 695.07 20.443 TCTAL 35 701.72 4

3 UL T * =.0'3736 2-50?=.00943 ST= 4.5214 i

V A3I A3L 7.

PARTIAL CCT77 STD 23 ?.0 R T-STAT SIGNI?

CONSTANT 1.6573 1.0373 1.5977

.1194

51. AFT!dIR

.00736

.96106 1.5095

.57044

.57 21 7 EASI SQUARIS REGR ES3IO3

SPH E AT :NO*W E HE AT :30* L E70SE:.1ED ANALYSIS OF 7ARIAUCE OF 12. D EY'J S E N= 36 00T OF 222 SO73CT DF SU1 SQES 3EAN SQR' F-STAT SIGMIT S EG R ES3TC n i

.50612 -1

.50612 -1 37532 -3

.9827 E220R 34 262C.4 106.48' TOTAL 35 3620.4

.t UL T ' 3 =. 0.0 2 74 3-503=.00001 SE= 10.319 7ARI43L~

P13TIAL CCE??

STD I?R9a T-STAT SIG4It CONSTA 7T 6.3333 2.3671 2.6837

.0112

51. AFT 23I7

.00374

.75107 -1 3.4350

.21802 -1

.9927 1

I k

.1

104 SPHI \\T : NO **d a H2 tT: 'to* LIVUSE: b!G:1 LEA 3T SQU.\\2I3 BIGEISSIC3

<9)

ANALYSIS OF VARIANCE OF 12.DEV33!

N= 36 CUT OF 223 SOUFCE DF SU3 SQ2S 3 SAN SQ2 F-STAT SIGNI?

GEGEE3STCN 1

1263.8 1263.3

.63934 4295 EB203 34 67209.

1976.7 TOTAL 35 6E473

!!UL T JS.13586 5-3QR=.01846 SE= 44.461 VU.I13Li 2A30!AL CCCFF 300 EHROR T-STAT SIGt!IF C03STA'!T 6C.773 10.200 5.9586

.0000 51.A?T!?.IR

.13586

-11.869 14.843

. 79959

.4295 E

l l

l 4

I e

i l

4 -

.. ~

105 LEA ST S2 U AR ES 3 G2iSSIO'I

< 1 > S PHI AT :!!0* W H R E AT: :10* L EVUSE: LO W A'IALYSIS OF VARIANCI 0F 12.027U5Z

l= 36 00T of 229 SO*f2CE DF SUM SQRS 3EA'! SQR F-STAT SIGNIF RIGRZSSION 11 413.76 37.615 3.1350

.0093 EB303 24 287.96 11.999 TCT A L 35 101.72 30LT 23.76798 2-SQ3=.56964 SI= 3.4629 742IAULE

? ARTIAL COE7F STD IS?OR 2-STAT '

SIGUIF CD:ISTA:lt 1.6573

.79466 2.0955

.0473 31.F2375

.10147 1.2966 2.5750 49966

.6219 e2.2AR75

.16414

-2.0990 2.5750

.91510 4230 83.A?o72

.46301

-6.6990 2.5750

-2.e.016

.0156 d4.NAY75

.54400 S.1795 2.5750 3.1761

.0041 85.JUd75

.02279

.2s763 2.5750

.11109

.9120 36.J UL 75

.09336

-1.2597 2.5750

.48920

.6291 97.AUG73.

.27244

-4.9297 J.5533

-1. 35371

.1781

(

84.S3?7d

.37355 7.0112 3.5539 1.9729

.0601 89.0CT73

.25209-4.5354 3.5538 1.2752

.21 41 90.NaV75

.47068 9.2'377 3.5538 2.6134

.0152 01.D2075

.03769

.6b667 3.5533

.18476

.8550 4

e

+

6

[

106 LSASI SQUA323 RIGRESSION

< 5 > 3 ?Il ? tit : :10 = W 3 82.\\T : :{o

  • L Ey uS E: k E D ANAL YSIS OF 7ARI ANCE GF 12.01735E
l= 36 CUT OF 22d 3OURCE D'

Sul SQRS

.1 E A !! S Q 3 F-STAT S IG:!IF E!G3!S3ICH 11 1629.6 149.06 1.7640

.1141 E3Ro2 24 1991.8 92.992 TOTAL 35 362C.4

'! ULT 3=.67 C70 2-SQit=

44984 ST= 9.1100 7 A2 IABL E 9ASTIAL CCIFF STD T320R T-SfAT

  • SIJ:!IF Co ?1 SI A :l"*

6.1533 2.0900 3.0399

.0056 81.71175

.04753 1.5767 6.7723

.23311

.8177 82.3A275

.20934

-7.0673 6.7723

-1.0436

.3071 83.A?275

.48320

-18.311 6.7723

-2.703e

.0124 34.4AT75

.36939 13.147 6.7723 1.9412

.0641 85.JU:17 5

.07640 2.5a22 6.7723

.37538

.7107 d 6.J 'it 75

.06796 2.2600 6.7723

.33371

.7415 87.A0G75

.06534 2.3983 9.3467

.32079

.7511 SS.SE?75

.33265 15.609 9.3467 1.6700 1079 89.0CT75

.03613

-1.6553 9.3467

.17710

.86 09 I

90.:10775

.19311 S.52c4 9.3467

.91245

.3706 91.DE075

. 2o34 1

-12.503 9.3467

-1.3377

.1935 -

0 i

e

107

/.

L EASI SQUARES REGR ESSIO:1

<9> S?H EAT::!O*iiS HEAT:: C* LEV *1SE: MIGH ANALYSIS OF VARIANCE OF 12. D EV'IS E N= 36 OUT OF 223 SOURCE 07 SUM SQES M I.UI SQ2 T-SOAT SIG!IF E EG R ESS IC'1 11 13324.

1211.3

.52713

.6657 E22cu 24 5 h'14 9.

2297.9 TOTAL 35 6E473.

MUL T E=. 44112 2-SQba.19 4 5 9 S E=

'4 7. 9 36 V AR IA B LE PA*TIAL C3Ef?

STD E 0 *C 't T-STAT '

SIGMIF CON ST A:17 60.770 10.997 5.526o

.0000 91.?!B75

.0756C 13.235 35.635

.37140

.7136 d2.M A27'i 19251 32.u06 35.635

.90937

.3722 93.A??75

.15075

-26.621 35.635

.74704 4623 B4."'T75

.09097

-15.929 35.635

.44701

.6599 S S.J T!75

.00193

.636C4 35.635

.19252 -1

.9949 86.JUL75

.03070

-5.3629 35.635

.15049

.3916

37. A '1G 7 5

.29001

-74.666 49.191

-1,.5132

.1420 83.StP75

.12915

-31.134 49.181

.63304

.5327 9 9.0.CT7 5

.20231

-49.774 49.181

-1.0120

.3216 9 0.:10775

.11373

-27.594 49.181

.56106

.5800

91. CEC 75

.00399

-15.422 41.191

.31357

.7566 e

y

~

109, DESC 3IPTIVI ?.Z ASUR ES

<1) S PHE AT : NC

  • WHHIAT :.90*LEVUJ Z : ALL CASES =3ONTH:

/

FI375-C3C75 i

7A2IABLE U

MINI 303 lf A ZI 30 ".

MEAN STD DEY 9.AVIUS7.

17 419.90 515.70 470.22 31.949 11.2%?qS?

17 406.u1 514.83 464.22 34.380 12.EIVUSE 17 -E.5321 16.310 5.9986 6.7562 L EA S'! SQ U A 3 2S 2iGR ESC IC fl

<1) S?!!IST ::10 =W R H4 AT: Nu

  • L T.7USF: AL L A NA L YSIS OF.7A2IA:iC3 CF 12.027US1 3= 16 030 07 223 SCUDCE DF SU9 SQES MIA:i SQa 1-STAT SIG?iI?

H27d!SSION 1

.37292 -2

.3721s2 -2

.79702

-2

.9929 E2303 34 1590.9 46.7a9 TOTAL 35 1590.9 MULT 3=. 00153 3-SQ5=.00000 SI= 6.3403

.w-7ARIABLE PARTIAL COEFF STD 22POR T-STAT SIJ3I*

C04STA90 6.0190 1.5693 3.8356

.0005 51.AFTI2I2

.00153

.20337 -1 2.2936

.89276 -2

.9929 S

S O

e N.:

j r

  • 'M$

eN-f w

N

.-. ~....

109 LEA ST SQU A2 ES CIGTi!SS IO't

<1) SDUEAT: NC* i 3HE AT:'!G*L2VUS E: ALL.

ANALYSIS CF 7ABIANCI OF 12.DEVUS:

!= 3 6 CUT CF 229 S003C?

DF SU1 SQRS 12AN SQE F-STAT SIGNI?

E IG E!SS IO't 11 643.09 53.534 1.4835

.2013 EERC3 24 546.97 39.457 ICTAL 3$

1590.8 P. ULT E=

63619 a-Sq3=.40474 SI= 6.2315 V A IUL2 P A RTI A T.

CCEFF STD ER 30 E T-STAT ~

SIG:!IF CONSTA:;T 6.0190 1.4411 4.1763

.0003 81.F!375

.00109 1.9610 4.6696

.39853

.6933 3 2. '1 A2 75

.10604

-2.4395 4.6696

.52242

.6062 93.AP'75

.40014

-11.i57 4.6696

-2.5393

.0190 34.1AY75

.3o200 9.9836 4.6690 1.902u

.0692 9 5.J T175

.04905 1.1235 4.6696

.24053

.3119 86.JUL75

.00490

.11215 4.6696

.24018 -1

.9910 2 7. A 3375

.16092

-5.1477 6.4447

.79375 4323 83.S2275

.25746 S.4121 6.4447 1.3053

.20u2 49.CCT75

..00514

.16227 6.4447

.25179 -1

.9401 90.10V7s

.22o15 7.3300 6.4447 1.1374

.2566 91.DZC75

.17757

-5.6968 6.4447

.36396

.3555 0

e

.,/

e on w

-rv.m-

+-,

110 DESCSTPTIVE 12ASURIS

<3) S P 3 E AT : NC* WaH F AT: Y ES *L E793 E:LO W CASES =30 ?!T!!: ? E E73-CEC 75 7A71ABLE I

3INI303 NAXI303 32AN STD DEV 9 3 7 4 U 5 3..

17 519.77 593.32 551.75 23.166 11.2X'USE 17 522.13 600.93 560.85 26.608 12.CEYUSE 17 -19.177 2.0317

-9.1059 6.7490 DISCHI2TIVE.15tSun!S

<7> SPHIAT:NO*WRHEAT:TES*LE7DSE:3ED CASES =30ITH:FZP75-CEC 75 7A11A3L7

'I JI:IIMUJ 2 AI!3!13 3EAN SID DE7 9.tVEUSE 17 1014.1 1195.1 1090.9 57.982 11.II?U3E 17 IC33.6 1201. 1 1103.3 61.655 12.CE7USI 17 -36.623 18.462

-12.316 14.275 OESCHI??I7' lEASOEE3

<11> S?HIAT:11C*W3HE AT:YES*LE7US2:HIGH '

I CAS ES=30:!TU: i1375- 0?C 75 7ARIABLI lI SIMI3U3 2AXI2U3 3EA I STD DE7 9.4720SE 17 1713.1 2220.6 1925.9 141.74 l

-11.EX?UST 17 1711.C 2206.8 1947.5 13.9.34 i

12.027USF 17 -7d.545 42.362

-21.650 32.892 i

l l

s.

w_

_~.

~ -.

~. -

$3)

LIAST SQUAGES 32GHISS103

<3>

SPHEAT :.iO**4 3HE AT: YES* L17USE: LO'd ANALYSIS OF VA?IAliC2 CF 12.DE7dSE N= 36 CUT OF 39 307RCE DF SU3 SQ3S ZEAN SQE F-STAI SIGNI?

EZGRESSICS 1

1221.7 1221.7 36.151

.0000-IR303 34 1149.0 33.793 TCTAL 35 2370.6 M UL T E =

71787 3-SQS=.51533 SE= 5.313?

7A3IABLi F *s 3*"I A L CCIf?

STD ??303 T-STAT ~

SIGNI?

CCOS" ANT 2.5629 1.3336 1.9217

.0631 51.AFTERI3

.717d7

-11.669 1.9407

-6.0126

.0000 12 AST SQ UAddS 3EG3 ESSIO:1

<7) S U'4 E 4T ::10 W 3[l E AT : T ES* L E7USI : itE D

.z.

A NALYSIS OF 7 A?I A: ICE OF 12. D ZY'JSE

'i= 36 0'TT OF 3d SOURCE DF SU3 SQ35 3EA'i SOR F-STAT S IGNI?

25'33!SSION 1

2271.9 2271.9 17.64S

.0002 YE?o1 34 4377.9 123.76 TC"AL 35 6619.8 3GLT H=.59451 3-SQS=.34166 SE= 11.347 7A3IA3LE P taTI AL CCE??

STD ER20R T-STA T S IG'!I?

CC 'i S T A*!T 3.'5'64 2.6032 1.3817

.1761

51. AFT! din

.59451

-15.913 3.7813

-4.2006

.0001 8

J g

=_

112 LIAST SQUARES RIGRESSICH

<11) SPUEAT::10* 2 30 EAT: yds

  • L IVUS 2: HIGH A NAL YSIS OF V AFI ANCE OF 12.DEVUSE N= 36 CUT OF 33 S002CZ DF Sul.SQRS 3EAN SQ3

?-STAT S IGNIF 23G R ESSIC M 1

8564.4 3564.4 8.1970

.0072 E32C3 34 35567.

1046.1

~0 r A L 35 44132.

.1DLT 3=

44C53 3-SQ5=.13407 SE= 32.343 7 A3!ABL E PARTIAL CO2??

STD E3?OR I-STAT '

SIG3IF CONSTA:17 9.2453 7.4201 1.2460

.2213 51.AYT17I2

.44053

-30.896 10.793

-2.8613

.0072 e

9 e

d o

l

--=-,- - --- - --- - -- ----

113 t

LIAST SQUA2:5 2'G2ESSION

<3) SPHEAT:N0* 43ME AT: YES* LEVUSE: LOW ANALYSIS OF 7A3IANC2 0F 12.DEVUSE N= 16 CUT OF 38 S003CE DF SU3 SQ3S MEAN SQP.

F-STAT SIGNI?

FIG U ESS IO N 11 1970.0 170.00 5.1496

.0000 2RSCB 24 500,64 20.860 TOTAL 35 237C.6 J UT. T 2=.adE15 E-SC5=.78882 SE= a.2673 7A2IAdLE 9A3TIAL CO2F?,

STD EFP03 I-STA S IGNIF CO N SI A't T 2.5629 1.0474 2.4460

.0222 81.FE375

.54127

- 10.707 3.3953

-3. 1535

.0041 82.JA175

.63317

-15.996 3.J953

-4.7113

.0001 83.APn75

.79091

-21.498 3.3951

-6.3318

.0000 44.1AYl5

.24095

-4.12c5 3.3451

-1.2163

.23 5' 85..! c:!7 5

.35732

-6.3635 3.3953

-1.8742

.0731 86.J UL 75

.T1730

-17.124 3.3053

-5.0434

.0000 87.AUG75

.61756

-19.025 4.6559

-3.9466

.0009 Sd.SE?75

.51945

-13.955 4.6359

-2.9780

.0065 i

09.0CT75

.14400

-3.3406 4.6859

.71289 4929 90.:1077a

.25453

-6.C420 4.o859

-1.2894

.2095 91.DEC75 *

.22779

-5.3705 4.6839

-1.1461

.2631 OC l

~ _ _

114 I

LEAST S2UA?!S 35GLISSION

<7 ) 3?HTAT: NC *W UIE AT:!ESSL EVUSE: 3 2D ANALYSIS OF 7ASIANCE OF 12.DEY3SE N= 36 00T OF 39 SOU2CZ DF SU3 SQ3S NIAN SQH F.- STAT SIGNI?

h EG R E.iS ION 11 4603.4 425.76 5.196$

.0004 YRaCa 24 1966.4 81.934 TOTAL 35 6649.8 MULT H=.83922 4-SCE=.70u29 S2= 9.0517 7A2IABLE 7330!AL

.CCEFF STD E2302 T-STAI ~

SIGNI?

CC:XST A:1*

3.5969 2.0766 1.7321

.0961 31.FE072

. 17663

-5.9174 6.7290

.87938

.3879 82.1A275

. 659S8

-2U.951 6.7290

-4.3024

. 0002 83.AP375

. 72606

-36.935 6.7290

-5.ua89

.0000 84.3A?75

. 39492

- 14.16 G 6.7290

-2.1053

.0459 85.JU375

. 4.1812

-16.067 6.7290

-2.3877

.0252 d6.J UL 75

. 05105

-1.6951 6.7290

.25043

.9044

^

97. A UG 73

. 09136

-3.7139 9.2969

.39989

.6923 89.32275

.05397 2.4599 9.2ib9

.26477

.7934 39.oCT75

. 46074

-23.618 9.2369

-2.5432

.0178-90.50773

. 34011

-16.784 9.2967

-1.8073

.0933 91.nEC75

. 42594

-21.419 9.2369

-2.3064

.0300 O

e W

$(.

L

115 l

(

LEAST SQUA3 ES 32C27SS10N

< 11 > S PH2 AT:'!O*W FHE AT:!ES* L E70SS : HIGH A:!ALYSIS OF 7 ARIA *J00 0F 12.D17'JSE

!!= 3 6 CUT OF 3 9 SotJECE DF S03 SQRS MEA:I SQR T-STAT SIGNI7 R EGR ESSIO:t 11 22427 2039.3 2.2545

.0465 2BRCR 24 21704 903.35 TOTAL 35 44132.

30TT 3=

71297 3-Sci =.50319 SE= 30. 072 7A2TT3LI

.PA0TIAL CCIFF

$2D E 3 7C-R

!-STAC S IG' TIN C0!! ST A'IT 9.2uS3 5.3991 1.3401

.1029 91.?En75

.13290

-11.330 22.356

.50680

.6169 92.aA?75

.40444

-48.431 22.356

-2.1664

.0404 8 3. AP2 73

.61236

-84.932 22.350

- J'. 7 9 4 7

.0009 94.3AY75

.27502

-31.439 22.356

-1. 4063

.1725 a3.J U 175

.08866

-9.7a86 22.356

.43607

.6667 d 6.J UL 75

.25635

-29.050 22.356

-1.2995

.2061 87.AU375

.01442 2.1902 30.054

.70662 -1

.9443 39 SE?75

.21402 33.116 30.954 1.0733

.2939 89.0C 75

.30723

-48.799 30.854

-1.5916

.1269 90 :10V75

.29473

-45.756 30.854

-1.4830

.1511 91.DIC75

.23357

-36.309 30.954

-1.1768

.2509 S

h

%,8

.m-

~e..

116 e

(

DESC7I??I73 ' E AS U1 FS

<3)

SPHE AT:' o **d3HE AT: Y ES *LIVUSE: ALL J

CASES =dONTH:F?a75-C2C75 YARI4DLI N

MINI 3U1 3AIIMUM MEAN STD DE7 9.AY?USE 17 773.86 935.88 345.73 44.167 e

11.EXPUS2 17 779.45 939.23 856.99 46.092

'12.DE7053 17 -29.277

-.66251

-11.258 8.2298 o

LEA 3T CUARES UEG2ESSIO:I

<3 ) SPRE AT : 30**= 2!IZ AT : YES* L E7CS E: A LL A N A L 'lSIS CY VIETALC3 CF 12.DZv1SI N= 36 00T OF 38 SOURC3 DF SU3 SQIIS

.iEAN SQE F-STAT SIGNI?

31GU ESS IO!!

1 1946.7 1946.7 36.187

.0000 CaRCH 34 1818.9 53.498 TOTAL 35 3765.6 MULT E=,.71900 2-S q 3=.51696 SE= 7.1142 7ASIABLE PA37IAL CC':F?

STD ER RO R T-STAT SIG? FIT CON S'I A :IT 3.4719 1.6780

2. 0 n 1

.0462 51.4FTEFIE

.71900

-14.730 2.4319

-6.0322

.0000 F-

,A e

- +.

=

-,_7 117 e.

(

LEASI SQUA"l!3 32GEISSIOf1

< 3> S?HE AT :N0*'.'E3E AT: YES* LEVUS S: A LL ANALISIS OF VARI 2::CI 03 12.0Ev732

= 3 6 03T OF 3 d SOUhCI DF Sua SQRS ltEAtt SQ3 T-STAT SIGNI?

?!G3ESSION 11 2965.4 269.58 s.0351

.0000 153C3 24 800.22 33.343 TOTAL 35 3765.6 anLT 3=.89731 3-Sch=.78749 SI= 5.7741

  • tA;IADLZ

?A2TIAL COEFF STD E3FO?

T-3IAT S IG lI?

CO:IST A:IT 3.4719 1.3247 2.6209

.0150 31.F E:175

.43094

-9.2035 4.2926

-2.1441

.0324 92.*A275

.73407

-22.732 4.2926

-5.2958

.0000 d3.a?2/>

.13592

-32 023 u.2926

-7.4613

.0000 94.1AY75

.42044

-S.7447 4.2926

-2.2701

.0325 45.JU3/S

.415b7

-9.6090 a.3926

-2.2383

.0347 36.JUL75

.54306

-13.779 4.2926

-3. 2100

.0037 87. A UG75

.37041

-11.572 5.3243

-1.9536

.0625 33'.52275

.14103

-4.1144 5.9243

.69788

.4920 99.0CT15

.43433

-13.495 5.9243

-2.3622

.0266 90.N0775

.'41501

-13.239 5.9243

-2.2347

.0350 91.c2075

.41537

-13.272 5.9243

- 2. 2'40 3

.0346 e

2

=-.-m.-

O I'18' I

DE3C3I2T17E 32A3n323

<2) SPUI AT: 12 S *W RU2 AT: :IC*LEVUSE: LOW CAS2S=30NT3:JUN75-0;T75 7ARIAGLI N

M INI.101 1AIIMU3 d2AN STD 037 9.A72033 7

198.74 260.44 225.43 26.476 11.EXPUS2 7

223.18 352.66 271.58 44.354 12.DEVUST 7 -92.221

-15.021

-46.150 23.723 D ESC SIPT I7 E.123SU2 25

<6) S P UI A 7 : YES

  • 92EE AT : :!C
  • LE73S E: ?.E D C AS 25='1C NT3 : JU 5 75-CCT 7 5 7 AFI AELI N
INIt03 3 AII.501 3EA:;

s;D DE7 8.A7EUSE 7

SS2.4C 798.70 657.37 73.797 11.iX?nS:

7 629.52 643.75 695.56 75.930 12.DEVOS?

7 -115.56 26.277

-38.137 51.287 DISC

  • tint 17I 3 2A3C2 ES

<10> SPEIAT: YES*23H2AT::!O*LE7352:HIGH CASES =30:ITH:JU575-COT 75 YARISELE N

HINI303 3axI.3na 3 A:;

STD DEV 9.A7EUSE 7

1265.4 1534. 1 1336.6 113.27 11.EIPUS 7

1264.2 1741.6 1405.2 167.09 12.017053 7 -172.47 58.940

-68.526 93.333 O

C 1- _

j

119

(-

~

LEAST SQU A' TIS REGE ESSIG?!

< 2 > S 21{I AT : Y TS * *i EHI AT : NG* L E7US E : LC'i C A SE != MO N19 : J'IN 7 4-CC2 7 4, J 0 5 7 5-CCT 75 AN% LYSIS OF VA2IANC2 C7 12.CEV75 3=

16 OUT C7 17 SCURCE DF,533 SQRS 3EA3 SQR F-STAT S IGNI?

BEGRESSICN '

1 9129.2 9129.2 35.416

.00 00 EB203 14 36Cd.6 257.76 TOT 1L 15 12738.

!! ULT i=. S 4 55 6 a-SQE=

71570'SE= 16.055 V ARI ADL E

?\\RTIAL CCETF STD !a20 2 T-STA T SIGNI?

CO:!ST A?!T 2.0009 5.J516

.37399

.7141 St.AFTERIa

.91653

-48.151 9.0903

-5.9513

.0000

.LEAST SQUACIS HIGRISSTC:!

<6 ) 3 P H I AT :!E3* 'IR H 2 AT: 30* L Z7USI: M 2)

C A S E S = 30 313 : J'J 7t 7 4-CCT 7 4, J U ?:75-CCT 75 ANALISIS 0? VARIANCE 07 12.CIVOSI 3=

16 CUT OF 17 SOURCE DF SU3 SQ2S 3EA'I SQ3 F-STAT SIG!!!?

7EG ESS IC3 1

9313.7 d211.7 5.5404

.0337 EE20a 14 21008.

1500.6 TOTAL 15 29321.

M UL T d =

33246 2-SQ5=.28354 SI= 38.717 7A2IABL2 PA2?IAL CCE7F STD E9?03 r-STA SIGNI?

C0a STAT!T 7.7629 12.912

.60120

.5573

51. 4 FT F9 IF

.53249

-45.950 19.522

-2.3538

.0337 L

7

._.~

=

120

(

LEAST 3QUAaES DIG 3ESSION

<10> Sni!E AT: 723* 23HE AT: 50* LE79 3E: HIGII C AS E S= 3 C :ITR :.10 314-CCT 74, J U:175-ccT 75 ANALYSIS OF VA3Ia3C3 O! 12.01YUSE N= 16 00T OF 17 SOURCI DP SUM SQ3S

.'1EA!T SQR F-STAT S IGITIF REGGISSIC3 1

23065.

23065.

4.9934

.0422 ER203 14 64604.

46 14.6 ICTAL 15 E767C.

3 ULT 3=.51293 3-SC3=.263C9 SI= 67.931 7A3IABLI PA?TIAL CCEFF -

JID EF30R T-STAT SIGNI?

CoilSTA:IT 8.0106 22.644

.J5377

.7299 b l. AITIRIR

.51293

-76.537 34.234

-2.2357

.0422 h.

l s

5 e-4%*

p

,gy

.-.i--

F--

-t

-v'f

^^ ' - - - '

I

121 l

LIAST OQU A?23 ngu2 I3SIO:I

<2) S N!3 AT : Y2S **d ?HE AT: N:.

  • LEVUSE.:LO'4 C AS E S=30 N T!! : J 'f N 74-0CT 7 4, J U N7 5-CL*T 75

%N% LYSIS OF VA2IANC2 0F 12.CIVU3E J= 16 00T OF 17 3013CE DF SU3 SQRS MEAN SQ3 F-STAT S IGNI?

22G R ESSIC N 5

12503.

2500.6 106.44

.0009 E2203 1C 234.93 23.493 20TAL 15

1273e, 1 ULT H=.99074 3-SqP=

.9 9156 SF= 4. 9470 7A3IA3LI PARIIAL CCEYF STD IR203 T-STA T SIGN;7 CONSTANT 2.0C09 1.6157 1.23 %

.2433 9 5.J U'115

.95070

-36.734 3.1991

-4. 6 %7

.0000 36.JUL75

.97296

-50.472 3.7891

-13.320

.0000 37.10J75

.91561

-94.222 5.1092

-13.442

.0000 38.54715

.95396

-51.402 5.1092

-10.061

.0000 89.0CT75

.72529

- 17. C2 2 5.1092

-3.3315

.0076 I

e e

e

--9 g

~

122, I

LEAST SOU A3 ES 3EG3!SSI0t!

<6) S PTIEA T : Y3S* W 9BE AT : NC

  • LI7USI:.S.E 0 C A SE!= M C t3"H : JU 37 4-ccT 7 4, J U b 7 5-CC* 75 A3ALYSIS OF VARIANCE OF 12.DEVUSE N= 16-00T OF 17 5013CE DF SU3 SCCS 3EA3 SQH F-STAT SIGNIP REG 22SSIO1 5

23J23.

466u.7 7.7770

.003?

E2302 1C 5998.0 599.80 TOTAL 15 29321.

MULT 3=

831d7 a-SC5=.79544 SI= 24.491 VA3IADL2

?A3TIAL COIFF STD E3203 T-STAT SIGNI7 CO:IST ANT 7.7629 9.1636

.95092

.3641 95.J3:1/5

.87701

-110.95 19.145

-5.7951

.0002 AG.JUL75

.21736

-13.482 19.145

.70418

.4974 97.\\0G75

.22117 18.51u 25.816

.71717 4997 83.S2775

.37954

-33.490 25.316

-1.2973

.2237 99.CCT75

.57793

-57.913 25.916

-2.2394

.0u91 G

e

~

'n ee s -o

~

e 123

~

(

LEAST SQU4 DIS 3FG315'1 ION

<10> S?!!? AT: YES=WEH2AT: 30* LIVUS3: HIGH C ASES=:10!ITH:J'7?:74-CCT74,JU57 5-CCT75 A3AL'Y3IS OF 7A2IA:1CE CF 12.DETUSE 3= 16 OUT OF 17 SOURCE D!

SU1 SQ2S 1E14 SQR F-STAT SIGNI?

R EGU!SS Ici 5

75200.

15040.

12.062

.0006

?RRCH 10 12469.

1246.9 TOTAL 15 E767C.

.1 DL T E =.92616 3-3Q5=.b5777 SE= 35.312 7 AR IABLE

?A2TIAL CC E:*7 STD Z220R T-STAT S IGNI?

C01STANT 9.0106 11.771

.68055

.5116 95.J r7:!75

.99213

-172.33 27.605

-6.2445

.0001 ab.JUL73

.09443

-6.2a02 27.605

.29996

.7704 87.AUG75

.39710 50.930 37.222 1.3683

.2012 9 9. S !' / 5

.45319

-59. au2 -

37.222

-1.6077

.1390-39.0CT75

.91'496

-1e5.53 37.222

-4.4370

.0012 e

9 i

L/

m 9 -t w

w

~

svr

~.._.

~

124, i.

DESC3:PTI7! tiASUK!S

<2> SPHEAI:YIS*W3 HEAT:t!O*LEVUSI:ALL C AS ES=20NT !: JD 373-CCT75 VARIABLY N

3INI304 3AXI!U3 3EA3 STD D EV 3.1VIUSI 7

410.39 525.01 458.14 39.581 11.E%?US:

7 473.71

$64.10 504.68 33.375 12.cIYUS?

7 -70.012

-29.034

-46.535

.15.067 L3A3I SQU A3!S RIGR E35 ION

<2) S P 9 I AT : YIS

  • W 3 H E AT : N0
  • L E7DS E :1L L C A S 3 S =:100 !*! : J'I'i74-CCT7 4, J U 57 5-CCT 75 UJALYSIS OF 7 ARIA 5C2 CF 12.017USE lI = 16 CUT CF 17 3OU! ICE DF 'SU3 SQ25 321N SQE 7-STAT SIGNI?

HIG 32SS 20'1 1

10126.

10126.

75.485

.0000 EH303 14 1978.0 134.14 TOTAL 15 12004.

30LT n=.9184 5 K-SG5=.84155 S2= 11.582

(

VARIABLE

?ARTIAL COEFF STD 3E302 T-STAT SIGNIF CO:IST AitT 4.1760 1.3607 1.0817

.2977

51. AFT 13I2

.91945

-50.711 5.3368

-8.6882

.0000 e

e 4

125 I

LEAST SQUA3ES 32G2ES!!!05

<2) SPHIAT:YES* ia!!IAT:30*LZvUS!i ALL C A SM S= 30 IIT!! : Jr137 4-CCT 74, J C 575-CCT 75 ANALYSIS OF 7ARIANCE 07 12.CIYUS!

N=

16 0UT 0? 17 SOURCE DF SU:p SQ3S 3EA3 SQR F-STAT SIGNIF REGRESSIOM S

11452.

2290.4 41.521

.0000 E23C3 1C 551.64 55.164 TOTAL 15 12004 MULT 2a.97675 2-SQ3=.95404 SE= 7.4272 VTRIADLE EA3TIAL CC2?7 STD ERR 02 T-STA T SIGNI?

CONSfA3?

4.1760 2.4757 1.6868 1225 65.J UN7 5

.96827

-71.139 5.0061

-12.252

. 0'J 00 86.10L75

.93149

-36.129 5.3061

-6.2226

.0001 37.A7G75

.99452

-49.568 7.8290

-6.3313

.0001 1

99.S2?75

.49729

-47.627 7.8290

-6. 0634

.0001 l

99.GCT75

.'9673o

-43.248 7.3290

-S.5241

.0003 e

S E

4

=.,.

L

126, l

DESC3IPTI7E ZEASU3 ES

<4) S P UE AT : YE S

  • 3 2HE A T : Y ES*LIVUS E : LO3 C A SE S = MO NTI,I: J3 E 7 b-CCT7 5 VARIABLE 1

MINIMUM 3AIIMGM 3EAN STD DE7

9. A7ZUSE 7

456.35 585.34 495.33 45.299

11. EI? bS E 7

470.86 640.77 524.34 57.685 12.DEvaSI 7 -73.571 20.907 29.612 36.195 DESC SIPTIIE 1 E ASU9 23

<8 ) S P U E A!: YE S *1 ? HE A T: !ES

  • LEVUS E: 3 ED

-CASES =d0 NTH:JU575-CCT75 VA3IABLE il MININU1 dATI1U3 32AN ST3 DE7 9.A720SE 7

970.56 1277.9 1051.'2 104.63 11.3%?USE 7

ES6.39 1393.9 1077.9 173.45 12.02VUS:

7 -144.39 109.51

- - 26.683 97.259 DESC3IOTI7E UEASU3ES

<12) S PHE AT: 7E S*23H E AT: YES ot,27USE: HIGH

(

C AS E.S=.S.C 37!!: JJ 5 7 5-CCT 75 713IADLE 3

EINI303 M AII3Ud MEAN STD DE7 9.AV!USE 7

1776.7 2046.0 1938.3 111.50 11.IIPUS 7

1677.7 2237.3 1'891.8 193.45 12.CE7USE 7 -217.R6 109.00 53.531 122.99 u

L

,g e

y me..o e

~e w

1

....l 1

127

. i L EASI 310 \\2 ES DIG 2 E33 ION

<4>

SU!iE AT : YES* i? UE A! YIS

  • L2VUSI: LC'i C AS 3 S=.10 3TH : JU 3 7 4-CCT 74, J U N7 5-CCT75 A!!ALYSIS OF 7ASI ANC2 CF 12.01V752 H= 16 CUT OF 17 SOUECE DF SU1 SQRS

.1EA N SQR F-STAT S IG!!IF BEGRESSION 1

3584.8 3584.9 5.4182

.0354 EaP09 14 5262.7 661.62 TCTAL 15 12940.

3 ULT 2=.52923 2-50F=.27903 Si= 25.722 VA2IABLE PA3TIAL CCEFF STD E220E T-STAT SIGNI?

CON ST A:!T

.56163 d.5740

.oS504 -1

.9497 51.aFTE2IR

.52823

-30.173 12.963

-2.3277

.0354

. g o.LEASI SQUA2iS UIGa2S3!0:1

<9) S ;HI AT : Y25* W a SIAT: YES* LIV USI: 33 C ASES=dolfTH: JU !74-CCT 74,J UN75-CCT75

(

AN ALYSIS 0? 713I A NC2 CF 12.DEVUSE.

N=

16 CUT OF 17 SOU2CE DF 301 SQdS 32AN SQR F-STAT SIGNI?

3 EGR ESSIC3 1

3418.3 3419.3 79722

.3999 Z22C3 14 60792.

4342.3 TOTAL

- 15 64210.

1 ULT 2=.23073 R-sci =.05324 SE= 55.996 7\\2IASLE PAFTIAL CCEFF STD E3 EOR T-STAI S IG5!!?

CONSTANT 2.7814 21.965

.12663

.9010 51.AFTE?IM

.23073

-29.464 33.209

. 68725

.3899 e

. em U

O

.-wa.h,t

._L..

. -.../...~.__

  • 128 i'

LEAST SQU ARIS RIG 7 ESSION

<12> S?H2 AT: YES* W 3aEAT: YES

  • LEvDS E : H:GH C A SU S= 3C 3TH : JU 374-0CT 7 4, J U 57 5-CCT75 ANAL YSTS OF 7 ARI ANCI CF -12. UEVUS ?

N= 16 CUT OF 17

' SOURCE DF SUN SQ3S M2A3 SQR F-STAT S IG'lIF HEGRESSION 1

14084 14084.

2.0479

.1744 ERace 14 96294.

6977.5 TOTAL 15

.11037 +6 3DLT 3=.35723 R-SC5=.12761 SI= 82.930

?A7IABL2 PU.TIAL C0ZFE STD ES E02 2-S TAI SIGNIF CONSTA:l?

6.2769 27.643

.22707

.8237 51.AITERIE

.75723

-59.00d 41.793

- 1.4310

.1744 e

D e

4 1.-__._

129 j

l 7

LEAST SQUA3ES DIG 3 E3SIO*!

<4) 3 P!1E A T : 733* W7.HE AT: YES

  • LEVU3C : L OW

.C AS 2S=.10 N"H : J U?! 7 4-0CT 74, J U :;75-CCT75 ANALISIS CE 7ASIANCE CF 12.UEVUSE N= 16 CUT CF 17 SOURCE DF S U.'t SQ B S NEA'i SQH F-STAT S IG'!IF HZG H ESSION 5

11360.

2272.0 15.272

.0002 2230R 10 1487.7 148.77 TOT A L 15 12 age, M UL T 3 =

94032 a-SG3=.89420 SE= 12. 197 7 A?. IA3L E PA3TIAL CChTF STD E2?02 T-STAI S IGNIF CO'ISTA:::

.So163 4.0657

.13814

.8929 SS.JU'!75

.92093

-71.250 9.5349

-7.4726

.0000 d 6.J 7L 7 5

.23659

-7.3422 9.5149

.77004

.4591 87.10175 44751 20.34b 12.957 1.5825

.1445 89.SEP75

.41194

-18.380 12.857

-1.4296

.1333 83.oCT75

.30919- -55.994 12.357

-4.3552

.0014 l

S e

e e-

~

1'30, LEAS'I SQ UA325 32GRISSION

<8>

S711E A!:Y35**f 3 HEAT: 7ES* L2VUSE: MED CASES =30MTH:JU374-0CT74,JUN75-cC*75 ANALYSIS OF VARIANC3 0F 12.DEVUS!

N= 16 CUT CF 17 SOURCE DF SUM SQES MEAN SQR F-STAT SIGNIF REGR ESS IO N 5

5956C.

11912.

25.617

.0000 ERRC3 10 4650.1 465.01 TOTAL 15 6421C.

5 ULT 3=.96311 a-SCB=.92758 SI= 21.5e4 7AnIA3Li

'ARTIAL CCZ7F STD EDE03 I-STAT SIGNIF CO3STANT 2.7814 7.1980

.3o695

.7069 95.JU375

.92716

-131.92 16.857

-7.8256

.0000 86.J UL 75

.51812 32.292 16.957 1.9156

.0944 R 7.10'3 7 3

.82697 105.73 22.730 4.6513

.0009 89.Si?75

.08423 6.0759 22.730

.26730

.7947 8s.0CT75

.85557

-116.30 22.730

-5.2263

.0004 w@

(

LEAST SQUARIS D EG2!SSIC:I

<12) S UH E % T: Y25 * *i3 HE AT : YIS

  • LIVUS I: HIGH I

4 Ni ye

_g

,g 4

o

~

p 131 l

1 Y

}

.s CA3 ES=30!!T!!:JN 17 4-0CT 7 4,JC37 5-CCT75 12.D277SE N= 16 007 C? 17

. IALYSIS 0? 7 Alii ANCE CF U

DF SU3 SQF.S MIA:t SQa F-STA:

SIGNI?

SOURCE 5

10312 +6 20627.

23.512

.0000 10 7234.5 723.45 9:3 E3sIcn EESCS 15

.11C37 +6 TOTAL 30LT a=.96667 a-SqF=.93:45 3E= 26.897 7A?IABLI P A?TI AL CCE??

STD 7390?.

T-STA S IGUIF 6.2769 9.9657

.70011 4991

.94793

-197.91 21.026

-9.u125

.0000 C0'137 UIT 19999 12.359 21.026

.61159

. 55 4.i 95.JU175

.75319 102.72 29.352 3.6231

.0047 16.J E75

.07010 6.3001 29.352

.22221

.3286 97.a0G75

.36916

-157.57 23.352

-5.5576

.0001 33.5"?75 99.00T75

(

134 DESCSEPTIVE 31ASURES

<4> SPHEAT:IES*'JRHEAT:YIS*LE7USE:ALL CASES =30NIH:JUN75-CCT75 V ARI ABL E N

3INI3U3 M AII.*!U M MEAN STD DE7 9.AV!USE 7

24 7.u 7 1047.3 894.97 69.276 11.II?USE 7

808.58 1137.3 927.94 113.83 12.DEYUSE 7 -118.63 62.607

-32.970 69.493 LJASI SQU A3ES HIGU ESSIO!!

<4) S FRE AT :YES*!dRB EAT: YES* L E7USE: A LL C AS ES= dO NTH : JU::74-CCT74, J U N 7 5-CCT 75 A NALYSIS.0F V ARIANCE CF 12.DEVUSE N= 16 CUT CF 17 SCURCE DF SU:1 SQ33 MEAN SQa F-STAT SIGNIF R EGR E3SIOM 1

4862.8 4662.9 2.1692

.1629 EH3CH 14 31394 2241.7 TOTAL 15 36247 3 ULT E=.3662E H-Sqs=.13416 SE= 47.347 7 A2IABL E

'ARTkAL CCEFF STD ESROR I-STAT SIGNI?

CCNSIANT 2.1728 15.782

.13767

.992'5 St.APTEaI?

.36628

-35.143 23.961

-1.4728

.16 2')

s G

a A

J

--~

'I '

133 J

. ' r, LEAST SQUA.4ES 2EGP ESSIO'i

<4) 3PR2AT : Y25* % 911E AT: YES

  • LE79S E: ALL C A SO S = 30 N TH : Jr7 N 7 4-CCT 7 4, J U 575-CCT75 ANALYSIS C? 7AHIANCE CF 12.CEVUSE

'i = 16 CUT OF 17 SOURCE OF SU't SQRS MEAN SQ3

?-STAI SIG:II7 HEG H ESSIC N 5

33681.

6736.1 26.247

.0000 EH3O?

1C 2566.4 256.64 TOT 3L 15 36247.

30LT '=.96395 2-SQU=.92920 SE= 16.020 VASIA3LE 212TIAL CCEFF STD E320R T-STAC SIG riIF CONSTANT 2.1729 5.3400 40689

.E'27 85.JU375

.94283

-112.09 12.523

-d.9502

.0000 36.JUL75

.20563 8.1214 12.521

.66u46

.5214 97.AU37b 74937 60.434 16.887 3.576S

.00 50 89.SEP7a

.12459

-6.7056 16.387

.39709

.6996 2;-x 139.0CT75

.36532

-92.193 16.387

-3.4595

.0001 r

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e f CCNSGERS POWER CCMPANY Electric Department Su==ary of the Time-of-Day Study Crdered in MPSC Order U h8h0 The attached data summarizes the comparison of rates in effect prior to April 1976, stated as the historical rates, and the rates in effect after April 1976, stated as the time-of-day rates. The data represents the per-cent of cn-peak consumption per :nonth for each rate, as well as the load factors at the. time of the system peak per month for the sample customers on each rate. The sample censisted of h0 randomly selected custc=ers frc= the pr:Imary service voltage Cc==ercial and hdustrial Rate "D", the 40 largest cus-temers from the sa=e Rate "D", the five largest custccers frem the high lead factor Cc==ercial and h dustrial Rats "F" and all the custc=ers on hdustrial Furnace Lead Rate "J". The sa=ple represented the folleving range in monthly const"._ption percentages in respect to their total rate classes: Rate "D" - h0 Randem 25 h% Rate "D" h0 Largest k3% 52% Rate "F" ' 39%* - 925 Rate "J" 100%

  • There was insufficient data for the largest 4

custcmer for one =cuth The data represented in this study for the ecmparisen of percentage en-peak censumption is based en the same set of valley hours for both the historical rates and the time-of-day rates, that being the valley hours currently utili:ed with the ti=e-of-day rates. h light of the fact that the customers were actually billed on different sets of valley hours, the valley hour differences are stated again in this summary: Valley Hour Differences: Historical Rates Ti=e-of-Day Rates

  • November-Januarv Ti=e of On-Peak 10:00 AM - 2:00 PM 5:00 PM - 9:00 PM 5:00 PM - 8:00 PM Number of Hours T Hours / Day k Hours / Day October and February l

Time of On-Peak 10:00 AM - 2:00 PM 5:00 PM - 9:00 PM Number of Hours k Hours / Day k Hours / Day March - September Time of On-Peak 10:00 AM - 2:00 PM 10:00 AM - 5:00 PM Number of Hours k Hours / Day T Hours "On-Peak Schedule Used in Comparison Study I W.

s. 2 There were ei ht months of data used in the study, that being August 1976 6 through March 1977 for the Time-of-Day F.ates compared with August 1975 through March 1976 for the historical rates. The reason for only eight months was due to the fact that the Company's WR h data extractica system was started in August, 1975, therefore the data was not available prior-to this date. The total eight =cnths' data is as follows: On-Feak Fercent Load Factor Historical Time-of-Day Historical Ti=e-o f-Day Rate "D" Iargest 19% 185 Th% 80% Rate "D" Randem 20% 19% T35 75% Rate "F" 16% 15% 905 935 Rate "J" 19% 175 815 80% The on-peak censumption data seems to indicate a reduction in consumption during the time-of-day rates. A significant factor in reduction is the nature of the compars,tive =ethod rather than the effect of ti=e-of-day rates. As previously stated, the data for the historical rates was based en the time-of-day valley hours, whereas the custcmers were actually billed i on another set of valley hours. For exaarple, for the mcuths of October and February, the study utill:ed the ti=e-of-day on-peak hours of 5:00 PM - 9:00 PM vhereas the on-peak biliing hours for the historical rates were 10:00 AM - 2:00 PM. Oustomers who normally use valley hours vould be under high load conditions during 5:00 FM - 9:00 PM. A similar type of inequity can be found during tM other scnths. The study does not accurately reflect the effect of time-of-day rates. The lead factor data is also of questionable relevance. All of the sample groups except Rate "J" indicate an improvement in lead factor. It should be remembered that the lead factor was based en the time of the system peak. Three months out of the eight the system peak did not occur within the on-peak time of the valley hours schedule used in the study. The load factors recorded, for these three months, were not reflective of the en-peak billing period, and therefore do not indicate the load factor effect of the ti=e-of day price structure. Another aspect which would affect load factors was that the economic conditions were i= proving during the time-of-day period and the total consumptions vers increasing which inherently i= proves the load factor. In order to accurately reflect the lead shifting effects of the time-of-day price structure, this study veuld have had to eH 4" ate the variables, i.e., dissimile valley hour schedules, load factors based on system peaks occur-ring at times different than the on-peak biliing period, and significant econcaic change during one of the comparative periods. l [ \\ l e,- --,-<-,en-a w, w-e - - -, e -.---,,y,,,,,,,e--- ,--g- -- ~

O S CONSUHLkS PDktR COMPANY A E-TOIC COHPARISON OF PEkC Ch-l'EAC5 CONSUHPTION ~ BETWEEN HISTONICAL HATES AND TIHL OF DAY kATES EATE D 40 RA34DOHLY SELECTED CUS10hEkS 3 u.u., H2h T21 h>h t ill h.h 1.1 h2h 12T Hop te1 hoh 1# ,,, _H' h Huu T11 h. l. T.1 H7H 12T hhlt 111 hab T31 II. la T71 pHH T11 Hhh 171 H bli T.T lillh 111 hl.Il ITT hHit T41 Ifish til 25.0., uhh 1TT tiHH TTT IHlh 111 1.hh TTT hilli TTT liHb 11T H110 1TT Hill! TTT HHH T11 bl.ll 111 IIHH TT1 HilH 171 HHH TTT llHH TTT Hhh 171 P Hilh 177 llHH 1TT liHh 171 lihH TTT Hitil TT1 lillH TTT E Hill! TTT HHil TTT liHH TT1 hHis TTT Hilla TT1 llHH T1T R HitH TTT HHH TT1 IIHi! T17 20.0 Hilh TT1 IIHit TTT llHis T11 C hHH TT1 HHH TTT tilf t. T11 Hl.H TT1 tillu TT1 slHit TT1 E islih 117 ilhil T1T hilH T11 uhh 171 Ha!!i TT1 hHl. TT1 N hhl. F1T hl.H 11T hull til i.h t. 111 Ithis 171 HHb 111 7 4.hl. 13T hLh 111 tilli. 111 hhh 111 lihu 1T1 bilh til hhh 111 hhH IT1 1i3118 TT1 35.h. ish h TT1 hhh T17 hiili It'a ishi. 111 kHb 1T1 lilli H ul. 111 hhh 111 Hhti 11T HIH !!5ll huh 171 O l.hh TTT 1111:1 111 H4h T!T ll. h IHlh T11 Til hht' T11 HIHi 111 II. h T!T Tlt H!!! T4T H!ti tilli T31 hill; til le h hl. T11 alnh 111 14511 F37 T37 H3H T.T al3H T11 lialu 1.T hhis 811 tilla uhh 111 liuh TT1 uhh T.T II3H T.1

11. H Ti1 H.h T31 tillu 191 huh 111 hHh TTT HilH 111 lillH T41 14. 1)

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