econometrics project iorganda beatrice cristina 133

u.m.= day u.m.= minutesHow long it lasts?'

Durability Time1.5 2

2 2

7 2

7 1.5

2 1.5

7 1.5

5 2

9 0.5

1.5 2

7 0.5

7 1

2 15

5 2

5 2

5 2

7 1

5 1

2 1.5

2 2

2 2

2 30

5 1

5 2

2.5 0.5

3 2

5 1

5 1

2 10

2 2

2 2

2 1.5

5 0.5

7 1.5

5 0.5

5 2

7 1

2 0.5

What influences the durability of your nail polish?' economical analysis done on 37 female candidates on 1/15/2014

How long it takes to dry up?'= Time

u.m.= lei

Price7

7.5

9

7

8

7

15

15

8.5

7

5.5

8

50

5

5

15

30

8

8

30

6

5

7

7.5

8

5

45

7

7

5

7.5

10

50

10

7.5

35

15

economical analysis done on 37 female candidates on 1/15/2014

What price it has?'= Price

Durability (unit of measure= days) Brand name Durability2 Flormar 1.5

5 Flormar 1.5

5 Flormar 2

5 Flormar 2

5 Flormar 2

7 Flormar 2

5 Flormar 2

2 Flormar 5

2 Flormar 7

2 Flormar 7

2 Flormar 7

5 Flormar 7

2.5 Flormar 7

3 Flormar 9

5 Average 4.42857142865 Durability of other brands2

5 Mean 4.4285717 Standard Error 0.7446835 Median 3.55 Mode 27 Standard Deviat 2.7863482 Sample Varianc 7.763736

Kurtosis -1.858353Average 4.15217391304348 Skewness 0.244278StdDev 1.76734766997364 Range 7.5

Minimum 1.5Maximum 9Sum 62Count 14

Durability of Flormar products

Mean 4.152174Standard Error 0.368517Median 5Mode 5Standard Deviation 1.767348Sample Variance 3.123518Kurtosis -1.238109Skewness 0.00156Range 5Minimum 2Maximum 7Sum 95.5Count 23

SUMMARY OUTPUT

Regression StatisticsMultiple R 0.258700028979R Square 0.066925704994Adjusted R Square 0.040266439422Standard Error 12.44935831613Observations 37

ANOVAdf SS MS F Significance F

Regression 1 389.07982119 389.07982119 2.510410679 0.1220916612Residual 35 5424.5282869 154.98652248Total 36 5813.6081081

Coefficients Standard Error t Stat P-value Lower 95% Upper 95%Intercept 6.890383242085 4.5473505487 1.5152522701 0.138688543 -2.341229101 16.121996Durability 1.511465524082 0.9539505411 1.5844275557 0.122091661 -0.42515702 3.4480881

RESIDUAL OUTPUT PROBABILITY OUTPUT

Observation Predicted Price Residuals Standard Residuals Percentile Price1 9.157581528208 -2.157581528 -0.175767055 1.3513513514 52 9.913314290248 -2.41331429 -0.196600286 4.0540540541 53 17.47064191066 -8.470641911 -0.690059571 6.7567567568 54 17.47064191066 -10.47064191 -0.852989271 9.4594594595 55 9.913314290248 -1.91331429 -0.155867861 12.162162162 56 17.47064191066 -10.47064191 -0.852989271 14.864864865 5.57 14.44771086249 0.5522891375 0.0449921516 17.567567568 68 20.49357295882 -5.493572959 -0.447533096 20.27027027 79 9.157581528208 -0.657581528 -0.05356978 22.972972973 7

10 17.47064191066 -10.47064191 -0.852989271 25.675675676 711 17.47064191066 -11.97064191 -0.975186546 28.378378378 712 9.913314290248 -1.91331429 -0.155867861 31.081081081 713 14.44771086249 35.552289138 2.8962618956 33.783783784 714 14.44771086249 -9.447710862 -0.769656347 36.486486486 715 14.44771086249 -9.447710862 -0.769656347 39.189189189 7.516 17.47064191066 -2.470641911 -0.201270472 41.891891892 7.517 14.44771086249 15.552289138 1.2669648991 44.594594595 7.518 9.913314290248 -1.91331429 -0.155867861 47.297297297 7.519 9.913314290248 -1.91331429 -0.155867861 50 820 9.913314290248 20.08668571 1.6363588349 52.702702703 821 9.913314290248 -3.91331429 -0.318797561 55.405405405 822 14.44771086249 -9.447710862 -0.769656347 58.108108108 823 14.44771086249 -7.447710862 -0.606726647 60.810810811 824 10.66904705229 -3.169047052 -0.258165942 63.513513514 8.5

25 11.42477981433 -3.424779814 -0.278999173 66.216216216 926 14.44771086249 -9.447710862 -0.769656347 68.918918919 1027 14.44771086249 30.552289138 2.4889376465 71.621621622 1028 9.913314290248 -2.91331429 -0.237332711 74.324324324 1529 9.913314290248 -2.91331429 -0.237332711 77.027027027 1530 9.913314290248 -4.91331429 -0.400262411 79.72972973 1531 9.913314290248 -2.41331429 -0.196600286 82.432432432 1532 14.44771086249 -4.447710862 -0.362332097 85.135135135 3033 17.47064191066 32.529358089 2.6499992717 87.837837838 3034 14.44771086249 -4.447710862 -0.362332097 90.540540541 3535 14.44771086249 -6.947710862 -0.565994222 93.243243243 4536 17.47064191066 17.529358089 1.4280265243 95.945945946 5037 9.913314290248 5.0866857098 0.4143860875 98.648648649 50

DW Test Residuals Ri-R(i-1) [Ri-R(i-1)]^2 Ri^2-2.15758152821 4.655158051-2.41331429025 -0.255732762 0.0653992456 5.824085864-8.47064191066 -6.05732762 36.691217901 71.75177438-10.4706419107 -2 4 109.634342-1.91331429025 8.5573276204 73.227856003 3.660771573-10.4706419107 -8.55732762 73.227856003 109.6343420.552289137507 11.022931048 121.50500889 0.305023291-5.49357295882 -6.045862096 36.552448488 30.17934385-0.65758152821 4.8359914306 23.386813117 0.432413466-10.4706419107 -9.813060382 96.29615407 109.634342-11.9706419107 -1.5 2.25 143.2962678-1.91331429025 10.05732762 101.14983886 3.66077157335.55228913751 37.465603428 1403.6714402 1263.965263-9.44771086249 -45 2025 89.25924054-9.44771086249 0 0 89.25924054-2.47064191066 6.9770689518 48.679491159 6.10407145115.55228913751 18.022931048 324.82604357 241.8736974-1.91331429025 -17.46560343 305.0473031 3.660771573-1.91331429025 0 0 3.66077157320.08668570975 22 484 403.4749428-3.91331429025 -24 576 15.31402873-9.44771086249 -5.534396572 30.629545419 89.25924054-7.44771086249 2 4 55.46839709-3.16904705229 4.2786638102 18.306964001 10.04285922-3.42477981433 -0.255732762 0.0653992456 11.72911678-9.44771086249 -6.022931048 36.275698411 89.2592405430.55228913751 40 1600 933.4423715-2.91331429025 -33.46560343 1119.9466128 8.487400154-2.91331429025 0 0 8.487400154-4.91331429025 -2 4 24.14065731-2.41331429025 2.5 6.25 5.824085864-4.44771086249 -2.034396572 4.1387694132 19.78213192

32.52935808934 36.977068952 1367.3036283 1058.159138-4.44771086249 -36.97706895 1367.3036283 19.78213192-6.94771086249 -2.5 6.25 48.2706862317.52935808934 24.477068952 599.12690447 307.2783955.086685709752 -12.44267238 154.82009595 25.87437151 d

12053.994117 5424.528287 2.2221276

Lower 95.0% Upper 95.0%-2.3412291 16.121995585

-0.425157 3.4480880685

1 2 3 4 5 6 7 8 9 10-20-10

010203040

Durability Residual Plot

DurabilityRe

sidua

ls

1 2 3 4 5 6 7 8 9 100

20

40

60

Durability Line Fit Plot

PricePredicted Price

Durability

Price

0 20 40 60 80 100 1200

20

40

60

Normal Probability Plot

Sample Percentile

Price

dL dU1.217 1.322

1 2 3 4 5 6 7 8 9 100

20

40

60



Durability

Price

0 20 40 60 80 100 1200

20

40

60


Sample Percentile

Price

SUMMARY OUTPUT

Regression StatisticsMultiple R 0.1452297415R Square 0.0210916778Adjusted R Square -0.0068771314Standard Error 12.751458582Observations 37



Coefficients Standard Error t Stat P-value Lower 95%Intercept 14.301441014 2.379212164602 6.01099861 7.467773E-07 9.47138353595Time -0.3476280532 0.400309816317 -0.8683975236 0.3910925375 -1.160300185

Upper 95% Lower 95.0% Upper 95.0%19.131498493 9.471383536 19.1314984930.4650440787 -1.160300185 0.4650440787

SUMMARY OUTPUT

Regression StatisticsMultiple R 0.267425238019R Square 0.071516257929Adjusted R Square 0.016899567219Standard Error 12.60000071329Observations 37



Coefficients Standard Error t Stat P-value Lower 95%Upper 95%Intercept 7.924840632756 5.248590035571 1.5098989593 0.1403075965 -2.741578 18.59126Durability 1.381189305296 1.01643533653 1.3588560488 0.1831390406 -0.684456 3.446834Time -0.17073479804 0.416425425848 -0.4100008968 0.6843773159 -1.017013 0.675543

RESIDUAL OUTPUT PROBABILITY OUTPUT

Observation Predicted Price Residuals Standard Residuals Percentile Price1 9.655154994621 -2.65515499462 -0.2168358567 1.351351 52 10.34574964727 -2.84574964727 -0.2324009574 4.054054 53 17.25169617375 -8.25169617375 -0.6738829232 6.756757 54 17.33706357277 -10.3370635728 -0.8441865128 9.459459 55 10.43111704629 -2.43111704629 -0.1985395763 12.16216 56 17.33706357277 -10.3370635728 -0.8441865128 14.86486 5.57 14.48931756316 0.510682436842 0.0417053859 17.56757 68 20.2701769814 -5.2701769814 -0.4303942117 20.27027 79 9.655154994621 -1.15515499462 -0.0943368743 22.97297 7

10 17.50779837081 -10.5077983708 -0.8581297388 25.67568 711 17.42243097179 -11.9224309718 -0.9736571083 28.37838 712 8.126197272751 -0.12619727275 -0.010306025 31.08108 713 14.48931756316 35.51068243684 2.9000149765 33.78378 714 14.48931756316 -9.48931756316 -0.7749544971 36.48649 715 14.48931756316 -9.48931756316 -0.7749544971 39.18919 7.516 17.42243097179 -2.42243097179 -0.1978302194 41.89189 7.517 14.6600523612 15.3399476388 1.2527519844 44.59459 7.518 10.43111704629 -2.43111704629 -0.1985395763 47.2973 7.519 10.34574964727 -2.34574964727 -0.1915679633 50 820 10.34574964727 19.65425035273 1.6050837794 52.7027 821 5.565175302154 0.434824697846 0.0355103887 55.40541 822 14.6600523612 -9.6600523612 -0.7888977231 58.10811 823 14.48931756316 -7.48931756316 -0.6116225205 60.81081 8

24 11.29244649698 -3.79244649698 -0.3097138913 63.51351 8.525 11.72693895257 -3.72693895257 -0.3043641529 66.21622 926 14.6600523612 -9.6600523612 -0.7888977231 68.91892 1027 14.6600523612 30.3399476388 2.4777418089 71.62162 1028 8.97987126295 -1.97987126295 -0.1616881434 74.32432 1529 10.34574964727 -3.34574964727 -0.2732339516 77.02703 1530 10.34574964727 -5.34574964727 -0.4365659282 79.72973 1531 10.43111704629 -2.93111704629 -0.2393725704 82.43243 1532 14.74541976022 -4.74541976022 -0.3875393946 85.13514 3033 17.33706357277 32.66293642723 2.6674509842 87.83784 3034 14.74541976022 -4.74541976022 -0.3875393946 90.54054 3535 14.48931756316 -6.98931756316 -0.5707895264 93.24324 4536 17.42243097179 17.57756902821 1.4354895466 95.94595 5037 10.60185184433 4.398148155671 0.3591791158 98.64865 50

DW Test Residuals Ri-R(i-1) [Ri-R(i-1)]^2 Ri^2-2.65515499462 7.0498480455-2.84574964727 -0.19059465265 0.0363263216 8.0982910549-8.25169617375 -5.40594652648 29.224257847 68.090489744-10.3370635728 -2.08536739902 4.3487571889 106.85488331-2.43111704629 7.905946526482 62.50399048 5.9103300928-10.3370635728 -7.90594652648 62.50399048 106.854883310.510682436842 10.84774600961 117.67359349 0.2607965513

-5.2701769814 -5.78085941825 33.418335614 27.774765415-1.15515499462 4.115021986782 16.933405952 1.3343830616-10.5077983708 -9.35264337619 87.471938122 110.4138266-11.9224309718 -1.41463260098 2.0011853958 142.14436028-0.12619727275 11.79623369904 139.15112948 0.015925751635.51068243684 35.63687970959 1269.9871954 1261.0085671-9.48931756316 -45 2025 90.047147814-9.48931756316 0 0 90.047147814-2.42243097179 7.066886591367 49.940886095 5.868171813115.3399476388 17.76237861059 315.50209391 235.31399356

-2.43111704629 -17.7710646851 315.81074004 5.9103300928-2.34574964727 0.08536739902 0.0072875928 5.502541407719.65425035273 22 484 386.289556930.434824697846 -19.2194256549 369.3863225 0.1890725179

-9.6600523612 -10.094877059 101.90654284 93.316611621-7.48931756316 2.17073479804 4.7120895634 56.089877562-3.79244649698 3.696871066181 13.66685568 14.382650432-3.72693895257 0.065507544412 0.0042912384 13.890073956

-9.6600523612 -5.93311340863 35.20183472 93.31661162130.3399476388 40 1600 920.51242273

-1.97987126295 -32.3198189018 1044.5706938 3.9198902179-3.34574964727 -1.36587838432 1.8656237607 11.194040702-5.34574964727 -2 4 28.577039291-2.93111704629 2.41463260098 5.8304505977 8.591447139

-4.74541976022 -1.81430271393 3.2916943378 22.51900870132.66293642723 37.40835618745 1399.3851126 1066.867416-4.74541976022 -37.4083561874 1399.3851126 22.519008701-6.98931756316 -2.24389780294 5.03507735 48.85055999917.57756902821 24.56688659137 603.53191679 308.970932944.398148155671 -13.1794208725 173.69713454 19.343707199 d

11780.985866 5397.8406111 2.182537

Lower 95.0%Upper 95.0%-2.741578 18.59126-0.684456 3.446834-1.017013 0.675543

PROBABILITY OUTPUT

1 2 3 4 5 6 7 8 9 10-20-10

010203040

Durability Residual Plot

DurabilityRe

sidua

ls

0 5 10 15 20 25 30 35-20-10

010203040

Time Residual Plot

Time

Resid

uals

1 2 3 4 5 6 7 8 9 100

20

40

60



Durability

Price

0 5 10 15 20 25 30 350

20

40

60

Time Line Fit Plot


Time

Price

0 20 40 60 80 100 1200

20

40

60


Sample Percentile

Price

dL dU1.164 1.383

0 5 10 15 20 25 30 35-20-10

010203040

Time Residual Plot

Time

Resid

uals

0 5 10 15 20 25 30 350

20

40

60

Time Line Fit Plot


Time

Price

0 20 40 60 80 100 1200

20

40

60


Sample Percentile

Price

Durability Price1.5 7

2 7.5 Coeficcient of correlation between the 2 independent variables7 9 Durability Time7 7 Durability 12 8 Time -0.312608 17 7

5 15 Coefficient of correlation between the 3 variables9 15 Durability Time Price1.5 8.5 Durability 17 7 Time -0.312608 17 5.5 Price 0.2587 -0.14523 12 8

5 50

5 5

5 5

7 15

5 30

2 8

2 8

2 30

2 6

5 5

5 7

2.5 7.5

3 8

5 5

5 45

2 7

2 7

2 5

2 7.5

5 10

7 50

5 10

5 7.5

7 35

2 15

1 2 3 4 5 6 7 8 9 100

10

20

30

40

50

60

Column B

F8

Cristina:

Coeficcient of correlation between the 2 independent variables

1 2 3 4 5 6 7 8 9 100

10

20

30

40

50

60

Column B

econometrics project iorganda beatrice cristina 133

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