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8/3/2019 Data-Road_safety (1) (1)
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SUMMARY OUTPUT
Regression Statistics
Multiple R 0,998368299
R Square 0,996739261
Adjusted R Square 0,995807621
Standard Error 1,35015126Observations 28
ANOVA
df SS MS F
Regression 6 11701,71892 1950,286487 1069,876282
Residual 21 38,28107692 1,822908425
Total 27 11740
Coefficients Standard Error t Stat P-value
Intercept -59,06608 11,28404066 -5,234479526 3,45E-05NOF -0,00696 0,046189919 -0,150683502 0,881663
NPVB 0,0419884 0,005270525 7,966650987 8,81E-08
NLIY 0,0027157 0,00099941 2,71732621 0,012904
NOV 0,0014695 0,000265212 5,540878153 1,69E-05
TPI -0,00274 0,001335706 -2,051349726 0,052914
PSLC -0,268203 0,068417644 -3,920091856 0,000786
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Significance F
5,54379E-25
Lower 95% Upper 95% Lower 95.0% Upper 95.0%
-82,532527 -35,59963 -82,532527 -35,59963263-0,1030173 0,0890971 -0,103017254 0,089097136
0,03102777 0,0529491 0,031027774 0,052949085
0,00063734 0,0047941 0,000637336 0,004794109
0,00091797 0,002021 0,000917969 0,002021046
-0,0055178 3,775E-05 -0,005517751 3,77525E-05
-0,4104857 -0,125921 -0,41048573 -0,12592117
yj = -59.066-0.006 NOFj + 0.04NPVBj +.0027NLIYj +0.001469NOVj -0.002739
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PIj-0.2682PSLCj+ej, j = 1, …, 28.
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NFA NOF NPVB NLIY NOV TPI PSLC
NFA 1
NOF 0,973468 1
NPVB 0,984421 0,977702 1
NLIY 0,980014 0,959515 0,972275 1
NOV 0,981347 0,94778 0,9499 0,960677 1
TPI 0,933183 0,890515 0,924417 0,930949 0,955993 1PSLC 0,897185 0,925036 0,947553 0,914138 0,863379 0,87441 1
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SUMMARY OUTPUT
Regression Statistics
Multiple R 0,973467689
R Square 0,947639341
Adjusted R Square 0,945625469
Standard Error 4,862391534Observations 28
ANOVA
df SS MS F Significance F
Regression 1 11125,28586 11125,28586 470,5560113 3,53322E-18
Residual 26 614,7141371 23,64285143
Total 27 11740
Coefficients Standard Error t Stat P-value Lower 95%
Intercept -71,79921396 5,462210411 -13,14471772 5,42148E-13 -83,02694826
NOF 0,600069356 0,027662778 21,69230304 3,53322E-18 0,543207702
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Upper 95% Lower 95.0% Upper 95.0%
-60,57147966 -83,02694826 -60,57147966
0,65693101 0,543207702 0,65693101
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SUMMARY OUTPUT
Regression Statistics
Multiple R 0,984421
R Square 0,969086
Adjusted R 0,967897
Standard E 3,736181Observatio 28
ANOVA
df SS MS F ignificance F
Regression 1 11377,06 11377,06 815,0315 3,7E-21
Residual 26 362,9353 13,95905
Total 27 11740
Coefficientsandard Err t Stat P-value Lower 95% Upper 95% ower 95.0 pper 95.0
Intercept -10,2972 2,06162 -4,99474 3,41E-05 -14,535 -6,05953 -14,535 -6,05953
NPVB 0,059209 0,002074 28,54876 3,7E-21 0,054946 0,063472 0,054946 0,063472
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SUMMARY OUTPUT
Regression Statistics
Multiple R 0,980014
R Square 0,960428
Adjusted R 0,958906
Standard E 4,227086Observatio 28
ANOVA
df SS MS F ignificance F
Regression 1 11275,43 11275,43 631,031 9,21E-20
Residual 26 464,5747 17,86826
Total 27 11740
Coefficientsandard Err t Stat P-value Lower 95% Upper 95% ower 95.0 pper 95.0
Intercept -194,629 9,572642 -20,3318 1,74E-17 -214,306 -174,952 -214,306 -174,952
NLIY 0,015717 0,000626 25,12033 9,21E-20 0,014431 0,017003 0,014431 0,017003
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SUMMARY OUTPUT
Regression Statistics
Multiple R 0,981347
R Square 0,963042
Adjusted R 0,96162
Standard E 4,085095Observatio 28
ANOVA
df SS MS F ignificance F
Regression 1 11306,11 11306,11 677,4995 3,79E-20
Residual 26 433,888 16,688
Total 27 11740
Coefficientsandard Err t Stat P-value Lower 95% Upper 95% ower 95.0 pper 95.0
Intercept -56,3661 3,970164 -14,1974 9,27E-14 -64,5269 -48,2053 -64,5269 -48,2053
NOV 0,003338 0,000128 26,02882 3,79E-20 0,003074 0,003601 0,003074 0,003601
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SUMMARY OUTPUT
Regression Statistics
Multiple R 0,933183
R Square 0,870831
Adjusted R 0,865863
Standard E 7,63706Observatio 28
ANOVA
df SS MS F ignificance F
Regression 1 10223,56 10223,56 175,287 4,6E-13
Residual 26 1516,442 58,32468
Total 27 11740
Coefficientsandard Err t Stat P-value Lower 95% Upper 95% ower 95.0 pper 95.0
Intercept 1,299324 3,6025 0,360673 0,721258 -6,10572 8,70437 -6,10572 8,70437
TPI 0,022733 0,001717 13,2396 4,6E-13 0,019203 0,026262 0,019203 0,026262
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SUMMARY OUTPUT
Regression Statistics
Multiple R 0,897185
R Square 0,80494
Adjusted R Square 0,797438
Standard Error 9,384931Observations 28
ANOVA
df SS MS F ignificance F
Regression 1 9450 9450 107,2926 1,01E-10
Residual 26 2290 88,07692
Total 27 11740
Coefficientsandard Err t Stat P-value Lower 95% Upper 95% ower 95.0
Intercept -26,25 7,103572 -3,69532 0,001029 -40,8516 -11,6484 -40,8516
PSLC 1,3125 0,126711 10,35821 1,01E-10 1,052042 1,572958 1,052042
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pper 95.0%
-11,6484
1,572958
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SUMMARY OUTPUT
Regression Statistics
Multiple R 0,995828212
R Square 0,991673828
Adjusted R 0,990633057
Standard E 2,01813915Observatio 28
ANOVA
df SS MS F ignificance F
Regression 3 11642,25074 3 880,75 952,8257 4,46E-25
Residual 24 97,74925505 4,072886
Total 27 11740
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% ower 95.0
Intercept -56,33173833 16,12034819 -3,49445 0,001868 -89,6025 -23,061 -89,6025
NPVB 0,027345142 0,004940386 5,535021 1,08E-05 0,017149 0,037542 0,017149
NLIY 0,002101321 0,001482827 1,417105 0,169304 -0,00096 0,005162 -0,00096
NOV 0,00144077 0,000235276 6,123737 2,52E-06 0,000955 0,001926 0,000955
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pper 95.0%
-23,061
0,037542
0,005162
0,001926
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SUMMARY OUTPUT
Regression Statistics
Multiple R 0,997931312
R Square 0,995866903
Adjusted R Square 0,995148104
Standard Error 1,452472494Observations 28
ANOVA
df SS MS F ignificance F
Regression 4 11691,48 2922,869 1385,459 4,81E-27
Residual 23 48,52256 2,109676
Total 27 11740
Coefficients andard Err t Stat P-value Lower 95% Upper 95% ower 95.0
Intercept -52,75567453 11,62555 -4,53791 0,000147 -76,805 -28,7064 -76,805NPVB 0,043196888 0,004839 8,927679 6,21E-09 0,033188 0,053206 0,033188
NLIY 0,002690517 0,001074 2,504785 0,019784 0,000468 0,004913 0,000468
NOV 0,001113118 0,000182 6,102263 3,18E-06 0,000736 0,00149 0,000736
PSLC -0,320764309 0,066404 -4,8305 7,11E-05 -0,45813 -0,1834 -0,45813
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Sales= -52.755+ 0.0431 NPVB+0.00269NLIY+0.0011NOV-0.320PSLC
pper 95.0%
-28,70640,053206
0,004913
0,00149
-0,1834
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year quarter no. of fatal accidents no. of officials in the field No. of people visiting bar
NFA NOF NPVB
2002 1 20 160 500
2 22 160 500
3 24 160 600
4 26 160 600
2003 1 26 160 600
2 28 160 650
3 28 160 600
4 32 160 650
2004 1 30 170 650
2 34 175 700
3 34 175 700
4 32 175 700
2005 1 36 180 9002 38 180 900
3 38 185 900
4 40 190 900
2006 1 44 200 1000
2 46 210 1000
3 48 200 1000
4 50 210 1000
2007 1 58 220 1200
2 60 220 1200
3 62 230 1200
4 68 230 1200
2008 1 72 250 1500
2 78 250 1500
3 84 260 1500
4 102 260 1800
correlation 0,973467689 0,984421446
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No. of liscences issued to the young no. of vehicles Prescribed speed limit in the city
NLIY NOV PSLC
13000 25000 40
14000 25500 40
14200 25600 40
14250 25700 40
13600 25750 40
14000 25800 40
14200 25900 40
14250 26000 40
14500 26500 40
14600 26700 40
14600 26800 40
14500 26850 40
15000 26900 6015100 27000 60
15000 27500 60
15200 27900 60
15300 29950 60
15500 30000 60
15600 30500 60
15500 31000 60
15800 32000 60
16000 33000 60
16100 35000 60
16500 36500 60
16600 38000 80
17500 40000 80
18000 45000 80
18500 48000 80
0,98001431 0,981346987 0,897185
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Traffic police investments (in thousands)
TPI
1000
1100
1300
1300
1326
1410
1420
1450
1460
1490
1510
1610
16501700
1750
1760
1790
1800
1800
1800
2000
2000
2000
2000
3400
3600
4000
4400
0,933183367
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Coefficients Standard Error t Stat
Intercep -59,06608 11,28404066 -5,23448
NOF -0,00696 0,046189919 -0,150684
NPVB 0,0419884 0,005270525 7,966651
NLIY 0,0027157 0,00099941 2,7173262
NOV 0,0014695 0,000265212 5,5408782
TPI -0,00274 0,001335706 -2,05135
PSLC -0,268203 0,068417644 -3,920092
yj = -59.066-0.006 NOFj + 0.0
0.26
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NPVBj +.0027NLIYj +0.001469NOVj -0.002739TPIj-
82PSLCj+ej, j = 1, …, 28.
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NOF NPVB NLIY NOV TPI PSLC
Regression Statistics
Multiple R 0,973467689 0,984421446 0,98001431 0,981347 0,9331834 0,8971847
R Square 0,947639341 0,969085582 0,96042805 0,9630419 0,8708312 0,8049404
Adjusted R Square 0,945625469 0,967896566 0,95890605 0,9616204 0,8658632 0,7974381
Standard Error 4,862391534 3,736181014 4,22708628 4,0850948 7,6370598 9,3849306
Observations 28 28 28 28 28 28
SUMMARY OUTPUT
C+D+E C+D+E+G Sales= -52.755+ 0.0
Regression Statistics
Multiple R 0,995828212 0,997931312
R Square 0,991673828 0,995866903
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Adjusted R Square 0,990633057 0,995148104
Standard Error 2,01813915 1,452472494
Observations 28 28
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31* NPVB+0.00269*NLIY+0.0011*NOV-0.320*PSLC