Multiple Linear Regression - Estimated Regression Equation
Accidents[t] = + 2165.23 -395.811Belt[t] -442.551M1[t] -617.812M2[t] -567.25M3[t] -680.438M4[t] -543.125M5[t] -598.875M6[t] -523.25M7[t] -508.375M8[t] -455.562M9[t] -316.188M10[t] -116.625M11[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)2165.2343.631949.621.45481e-1067.27407e-107
Belt-395.81138.6056-10.251.06923e-195.34613e-20
M1-442.55161.3737-7.2111.50917e-117.54584e-12
M2-617.81261.3262-10.073.41462e-191.70731e-19
M3-567.2561.3262-9.256.76088e-173.38044e-17
M4-680.43861.3262-11.14.19121e-222.09561e-22
M5-543.12561.3262-8.8568.00478e-164.00239e-16
M6-598.87561.3262-9.7652.51305e-181.25653e-18
M7-523.2561.3262-8.5325.95196e-152.97598e-15
M8-508.37561.3262-8.292.62012e-141.31006e-14
M9-455.56261.3262-7.4294.33013e-122.16506e-12
M10-316.18861.3262-5.1566.64186e-073.32093e-07
M11-116.62561.3262-1.9020.05881470.0294073


Multiple Linear Regression - Regression Statistics
Multiple R0.814751
R-squared0.66382
Adjusted R-squared0.641282
F-TEST (value)29.4544
F-TEST (DF numerator)12
F-TEST (DF denominator)179
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation173.457
Sum Squared Residuals5385620


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
116871722.68-35.6757
215081547.41-39.4139
315071597.98-90.9764
413851484.79-99.7889
516321622.19.89861
615111566.35-55.3514
715591641.98-82.9764
816301656.85-26.8514
915791709.66-130.664
1016531849.04-196.039
1121522048.6103.399
1221482165.23-17.2264
1317521722.6829.3243
1417651547.41217.586
1517171597.98119.024
1615581484.7973.2111
1715751622.1-47.1014
1815201566.35-46.3514
1918051641.98163.024
2018001656.85143.149
2117191709.669.33611
2220081849.04158.961
2322422048.6193.399
2424782165.23312.774
2520301722.68307.324
2616551547.41107.586
2716931597.9895.0236
2816231484.79138.211
2918051622.1182.899
3017461566.35179.649
3117951641.98153.024
3219261656.85269.149
3316191709.66-90.6639
3419921849.04142.961
3522332048.6184.399
3621922165.2326.7736
3720801722.68357.324
3817681547.41220.586
3918351597.98237.024
4015691484.7984.2111
4119761622.1353.899
4218531566.35286.649
4319651641.98323.024
4416891656.8532.1486
4517781709.6668.3361
4619761849.04126.961
4723972048.6348.399
4826542165.23488.774
4920971722.68374.324
5019631547.41415.586
5116771597.9879.0236
5219411484.79456.211
5320031622.1380.899
5418131566.35246.649
5520121641.98370.024
5619121656.85255.149
5720841709.66374.336
5820801849.04230.961
5921182048.669.3986
6021502165.23-15.2264
6116081722.68-114.676
6215031547.41-44.4139
6315481597.98-49.9764
6413821484.79-102.789
6517311622.1108.899
6617981566.35231.649
6717791641.98137.024
6818871656.85230.149
6920041709.66294.336
7020771849.04227.961
7120922048.643.3986
7220512165.23-114.226
7315771722.68-145.676
7413561547.41-191.414
7516521597.9854.0236
7613821484.79-102.789
7715191622.1-103.101
7814211566.35-145.351
7914421641.98-199.976
8015431656.85-113.851
8116561709.66-53.6639
8215611849.04-288.039
8319052048.6-143.601
8421992165.2333.7736
8514731722.68-249.676
8616551547.41107.586
8714071597.98-190.976
8813951484.79-89.7889
8915301622.1-92.1014
9013091566.35-257.351
9115261641.98-115.976
9213271656.85-329.851
9316271709.66-82.6639
9417481849.04-101.039
9519582048.6-90.6014
9622742165.23108.774
9716481722.68-74.6757
9814011547.41-146.414
9914111597.98-186.976
10014031484.79-81.7889
10113941622.1-228.101
10215201566.35-46.3514
10315281641.98-113.976
10416431656.85-13.8514
10515151709.66-194.664
10616851849.04-164.039
10720002048.6-48.6014
10822152165.2349.7736
10919561722.68233.324
11014621547.41-85.4139
11115631597.98-34.9764
11214591484.79-25.7889
11314461622.1-176.101
11416221566.3555.6486
11516571641.9815.0236
11616381656.85-18.8514
11716431709.66-66.6639
11816831849.04-166.039
11920502048.61.39861
12022622165.2396.7736
12118131722.6890.3243
12214451547.41-102.414
12317621597.98164.024
12414611484.79-23.7889
12515561622.1-66.1014
12614311566.35-135.351
12714271641.98-214.976
12815541656.85-102.851
12916451709.66-64.6639
13016531849.04-196.039
13120162048.6-32.6014
13222072165.2341.7736
13316651722.68-57.6757
13413611547.41-186.414
13515061597.98-91.9764
13613601484.79-124.789
13714531622.1-169.101
13815221566.35-44.3514
13914601641.98-181.976
14015521656.85-104.851
14115481709.66-161.664
14218271849.04-22.0389
14317372048.6-311.601
14419412165.23-224.226
14514741722.68-248.676
14614581547.41-89.4139
14715421597.98-55.9764
14814041484.79-80.7889
14915221622.1-100.101
15013851566.35-181.351
15116411641.98-0.976393
15215101656.85-146.851
15316811709.66-28.6639
15419381849.0488.9611
15518682048.6-180.601
15617262165.23-439.226
15714561722.68-266.676
15814451547.41-102.414
15914561597.98-141.976
16013651484.79-119.789
16114871622.1-135.101
16215581566.35-8.35139
16314881641.98-153.976
16416841656.8527.1486
16515941709.66-115.664
16618501849.040.961107
16719982048.6-50.6014
16820792165.23-86.2264
16914941722.68-228.676
17010571151.6-94.6027
17112181202.1715.8348
17211681088.9879.0223
17312361226.299.70975
17410761170.54-94.5402
17511741246.17-72.1652
17611391261.04-122.04
17714271313.85113.147
17814871453.2333.7723
17914831652.79-169.79
18015131769.42-256.415
18113571326.8630.1354
18211651151.613.3973
18312821202.1779.8348
18411101088.9821.0223
18512971226.2970.7098
18611851170.5414.4598
18712221246.17-24.1652
18812841261.0422.9598
18914441313.85130.147
19015751453.23121.772
19117371652.7984.2098
19217631769.42-6.41525


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
160.4774120.9548250.522588
170.3177830.6355660.682217
180.1918850.383770.808115
190.2194960.4389930.780504
200.1828710.3657430.817129
210.1388510.2777010.861149
220.2470670.4941340.752933
230.1865730.3731460.813427
240.2681740.5363490.731826
250.3753170.7506350.624683
260.2984710.5969420.701529
270.2399250.4798510.760075
280.2130450.426090.786955
290.2137690.4275380.786231
300.2297750.459550.770225
310.1947720.3895430.805228
320.2077650.415530.792235
330.1621570.3243130.837843
340.1481160.2962330.851884
350.1178310.2356630.882169
360.09738210.1947640.902618
370.1414010.2828020.858599
380.1297820.2595650.870218
390.1397730.2795460.860227
400.1105850.2211710.889415
410.1841250.3682490.815875
420.2348990.4697990.765101
430.291650.58330.70835
440.2552540.5105090.744746
450.2319340.4638680.768066
460.203910.4078190.79609
470.2431480.4862950.756852
480.4738880.9477760.526112
490.5691990.8616030.430801
500.7264190.5471620.273581
510.6883970.6232060.311603
520.8882420.2235150.111758
530.9448770.1102450.0551225
540.9546550.09069090.0453454
550.9811150.03776960.0188848
560.9865140.02697210.013486
570.9978480.0043040.002152
580.9985630.002874210.00143711
590.99850.002999420.00149971
600.9985430.002913560.00145678
610.9990720.001856540.000928269
620.9991150.001769790.000884896
630.9988720.002256190.00112809
640.998910.002179310.00108965
650.9989310.002138750.00106938
660.9993980.001204990.000602494
670.9995050.0009904810.00049524
680.9997610.0004785730.000239286
690.9999480.0001030895.15444e-05
700.999984.00488e-052.00244e-05
710.999983.9388e-051.9694e-05
720.9999843.20918e-051.60459e-05
730.9999892.24415e-051.12208e-05
740.9999941.18084e-055.90421e-06
750.9999921.57216e-057.86078e-06
760.9999911.84852e-059.24259e-06
770.9999921.65881e-058.29404e-06
780.9999931.36074e-056.8037e-06
790.9999976.58202e-063.29101e-06
800.9999976.4345e-063.21725e-06
810.9999959.24198e-064.62099e-06
820.9999992.17048e-061.08524e-06
830.9999991.88926e-069.44632e-07
840.9999992.34076e-061.17038e-06
8519.72555e-074.86277e-07
8616.92191e-073.46095e-07
8715.55464e-072.77732e-07
8818.27693e-074.13846e-07
890.9999991.0317e-065.15849e-07
9014.34139e-072.17069e-07
9115.31761e-072.65881e-07
9218.13219e-084.06609e-08
9311.3024e-076.51202e-08
9411.97943e-079.89717e-08
9512.77558e-071.38779e-07
9611.7184e-078.592e-08
9712.79756e-071.39878e-07
9813.49958e-071.74979e-07
9913.06098e-071.53049e-07
10015.05691e-072.52845e-07
10113.74833e-071.87417e-07
10216.29696e-073.14848e-07
10319.02247e-074.51123e-07
1040.9999991.41555e-067.07774e-07
1050.9999991.27095e-066.35473e-07
1060.9999991.4055e-067.0275e-07
1070.9999992.08254e-061.04127e-06
1080.9999991.69571e-068.47854e-07
10911.60297e-078.01486e-08
11012.57826e-071.28913e-07
11114.78788e-072.39394e-07
11218.32068e-074.16034e-07
1130.9999991.01035e-065.05177e-07
1140.9999991.03946e-065.19732e-07
1150.9999991.0952e-065.47599e-07
1160.9999991.67425e-068.37126e-07
1170.9999992.93825e-061.46913e-06
1180.9999983.01449e-061.50725e-06
1190.9999983.35416e-061.67708e-06
12017.64266e-073.82133e-07
12112.13253e-071.06627e-07
12213.62777e-071.81389e-07
12311.01287e-075.06434e-08
12411.75868e-078.79338e-08
12513.15452e-071.57726e-07
12615.33745e-072.66872e-07
12716.21597e-073.10799e-07
1280.9999991.12245e-065.61224e-07
1290.9999992.12864e-061.06432e-06
1300.9999991.14455e-065.72274e-07
1310.9999991.21801e-066.09003e-07
13211.28511e-076.42555e-08
13311.0862e-075.43101e-08
13411.68881e-078.44404e-08
13513.45391e-071.72695e-07
13616.37774e-073.18887e-07
13719.67357e-074.83679e-07
1380.9999991.56366e-067.8183e-07
1390.9999992.42979e-061.2149e-06
1400.9999984.70826e-062.35413e-06
1410.9999984.97522e-062.48761e-06
1420.9999959.87784e-064.93892e-06
1430.9999984.52434e-062.26217e-06
1440.9999967.06157e-063.53079e-06
1450.9999951.02752e-055.1376e-06
1460.999991.94565e-059.72823e-06
1470.9999813.81091e-051.90546e-05
1480.9999637.49737e-053.74869e-05
1490.9999280.0001431347.15671e-05
1500.9998940.0002119950.000105997
1510.9998940.0002119580.000105979
1520.9998170.0003655170.000182758
1530.999650.0007000590.00035003
1540.9995310.0009376330.000468817
1550.9992520.00149580.000747898
1560.9998480.0003030270.000151513
1570.9998220.0003564520.000178226
1580.9996470.0007066720.000353336
1590.9994720.001055510.000527753
1600.9991620.001676120.000838058
1610.9987940.002411140.00120557
1620.9981320.003735160.00186758
1630.9965410.006917360.00345868
1640.9964310.007138720.00356936
1650.9963030.007394170.00369709
1660.9926250.01475040.00737518
1670.9869490.0261020.013051
1680.9909150.01817060.00908528
1690.9822710.03545790.017729
1700.9718770.05624570.0281228
1710.9497550.100490.0502448
1720.9122010.1755980.087799
1730.8524620.2950760.147538
1740.7823570.4352850.217643
1750.6569430.6861140.343057
1760.5500730.8998540.449927


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level1090.677019NOK
5% type I error level1150.714286NOK
10% type I error level1170.726708NOK