Multiple Linear Regression - Estimated Regression Equation
Accidents[t] = + 2324.06 -226.385Belt[t] -451.375M1[t] -635.461M2[t] -583.134M3[t] -694.556M4[t] -555.479M5[t] -609.464M6[t] -532.074M7[t] -515.434M8[t] -460.857M9[t] -319.717M10[t] -118.39M11[t] -1.76486t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)2324.0644.029952.781.19695e-1105.98473e-111
Belt-226.38541.0372-5.5171.20293e-076.01464e-08
M1-451.37553.9429-8.3681.67221e-148.36106e-15
M2-635.46153.9415-11.784.69922e-242.34961e-24
M3-583.13453.9313-10.812.87307e-211.43653e-21
M4-694.55653.9222-12.882.98754e-271.49377e-27
M5-555.47953.9141-10.38.07739e-204.03869e-20
M6-609.46453.9071-11.311.10405e-225.52025e-23
M7-532.07453.9012-9.8711.32473e-186.62365e-19
M8-515.43453.8964-9.5639.54296e-184.77148e-18
M9-460.85753.8926-8.5515.43649e-152.71825e-15
M10-319.71753.89-5.9331.51883e-087.59414e-09
M11-118.3953.8884-2.1970.02931580.0146579
t-1.764860.240551-7.3377.46954e-123.73477e-12


Multiple Linear Regression - Regression Statistics
Multiple R0.861322
R-squared0.741876
Adjusted R-squared0.723025
F-TEST (value)39.3532
F-TEST (DF numerator)13
F-TEST (DF denominator)178
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation152.418
Sum Squared Residuals4135150


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
116871870.92-183.924
215081685.07-177.073
315071735.64-228.635
413851622.45-237.448
516321759.76-127.76
615111704.01-193.01
715591779.64-220.635
816301794.51-164.51
915791847.32-268.323
1016531986.7-333.698
1121522186.26-34.2601
1221482302.89-154.885
1317521849.75-97.7453
1417651663.89101.106
1517171714.462.54315
1615581601.27-43.2693
1715751738.58-163.582
1815201682.83-162.832
1918051758.4646.5432
2018001773.3326.6682
2117191826.14-107.144
2220081965.5242.4807
2322422165.0876.9182
2424782281.71196.293
2520301828.57201.433
2616551642.7212.2839
2716931693.28-0.278581
2816231580.0942.9089
2918051717.487.5964
3017461661.6584.3464
3117951737.2857.7214
3219261752.15173.846
3316191804.97-185.966
3419921944.3447.6589
3522332143.989.0964
3621922260.53-68.5286
3720801807.39272.611
3817681621.54146.462
3918351672.1162.9
4015691558.9110.0872
4119761696.23279.775
4218531640.48212.525
4319651716.1248.9
4416891730.98-41.9753
4517781783.79-5.78782
4619761923.1652.8372
4723972122.73274.275
4826542239.35414.65
4920971786.21310.79
5019631600.36362.64
5116771650.9226.0779
5219411537.73403.265
5320031675.05327.953
5418131619.3193.703
5520121694.92317.078
5619121709.8202.203
5720841762.61321.39
5820801901.98178.015
5921182101.5516.4529
6021502218.17-68.1721
6116081765.03-157.032
6215031579.18-76.1813
6315481629.74-81.7438
6413821516.56-134.556
6517311653.8777.1312
6617981598.12199.881
6717791673.74105.256
6818871688.62198.381
6920041741.43262.569
7020771880.81196.194
7120922080.3711.6312
7220512196.99-145.994
7315771743.85-166.854
7413561558-202.003
7516521608.5743.4345
7613821495.38-113.378
7715191632.69-113.691
7814211576.94-155.941
7914421652.57-210.566
8015431667.44-124.441
8116561720.25-64.253
8215611859.63-298.628
8319052059.19-154.191
8421992175.8223.1845
8514731722.68-249.676
8616551536.82118.175
8714071587.39-180.387
8813951474.2-79.1998
8915301611.51-81.5123
9013091555.76-246.762
9115261631.39-105.387
9213271646.26-319.262
9316271699.07-72.0748
9417481838.45-90.4498
9519582038.01-80.0123
9622742154.64119.363
9716481701.5-53.4974
9814011515.65-114.646
9914111566.21-155.209
10014031453.02-50.0215
10113941590.33-196.334
10215201534.58-14.584
10315281610.21-82.209
10416431625.0817.916
10515151677.9-162.896
10616851817.27-132.271
10720002016.83-16.834
10822152133.4681.541
10919561680.32275.681
11014621494.47-32.4682
11115631545.0317.9693
11214591431.8427.1568
11314461569.16-123.156
11416221513.41108.594
11516571589.0367.9693
11616381603.9134.0943
11716431656.72-13.7182
11816831796.09-113.093
11920501995.6654.3443
12022622112.28149.719
12118131659.14153.859
12214451473.29-28.29
12317621523.85238.148
12414611410.6650.335
12515561547.988.02253
12614311492.23-61.2275
12714271567.85-140.852
12815541582.73-28.7275
12916451635.549.46003
13016531774.91-121.915
13120161974.4841.5225
13222072091.1115.898
13316651637.9627.0374
13413611452.11-91.1117
13515061502.673.32579
13613601389.49-29.4867
13714531526.8-73.7992
13815221471.0550.9508
13914601546.67-86.6742
14015521561.55-9.54921
14115481614.36-66.3617
14218271753.7473.2633
14317371953.3-216.299
14419412069.92-128.924
14514741616.78-142.784
14614581430.9327.0666
14715421481.560.5041
14814041368.3135.6916
14915221505.6216.3791
15013851449.87-64.8709
15116411525.5115.504
15215101540.37-30.3709
15316811593.1887.8166
15419381732.56205.442
15518681932.12-64.1209
15617262048.75-322.746
15714561595.61-139.606
15814451409.7635.2448
15914561460.32-4.31768
16013651347.1317.8698
16114871484.442.55732
16215581428.69129.307
16314881504.32-16.3177
16416841519.19164.807
16515941572.0121.9948
16618501711.38138.62
16719981910.9487.0573
16820792027.5751.4323
16914941574.43-80.4278
17010571162.19-105.192
17112181212.755.24562
17211681099.5768.4331
17312361236.88-0.87938
17410761181.13-105.129
17511741256.75-82.7544
17611391271.63-132.629
17714271324.44102.558
17814871463.8223.1831
17914831663.38-180.379
18015131780-267.004
18113571326.8630.1354
18211651141.0123.9864
18312821191.5890.4239
18411101078.3931.6114
18512971215.781.2989
18611851159.9525.0489
18712221235.58-13.5761
18812841250.4533.5489
18914441303.26140.736
19015751442.64132.361
19117371642.294.7989
19217631758.834.17388


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
170.322030.644060.67797
180.2335210.4670420.766479
190.1806860.3613710.819314
200.1036690.2073380.896331
210.05594250.1118850.944057
220.08584220.1716840.914158
230.05298520.105970.947015
240.05685010.11370.94315
250.03611930.07223860.963881
260.0705620.1411240.929438
270.06276450.1255290.937235
280.04110670.08221330.958893
290.02500350.0500070.974996
300.01517280.03034550.984827
310.01048630.02097250.989514
320.006139050.01227810.993861
330.01374480.02748970.986255
340.008287860.01657570.991712
350.007661080.01532220.992339
360.02407760.04815520.975922
370.01833420.03666840.981666
380.01347730.02695470.986523
390.008735150.01747030.991265
400.008726020.0174520.991274
410.008445240.01689050.991555
420.00624950.0124990.993751
430.004631340.009262680.995369
440.01585980.03171960.98414
450.01127350.0225470.988726
460.008556570.01711310.991443
470.006822710.01364540.993177
480.01502340.03004680.984977
490.01426910.02853820.985731
500.01653370.03306740.983466
510.02939040.05878080.97061
520.05664310.1132860.943357
530.06467970.1293590.93532
540.06142330.1228470.938577
550.07444420.1488880.925556
560.07616840.1523370.923832
570.1269550.253910.873045
580.1248080.2496160.875192
590.3083770.6167540.691623
600.6002610.7994780.399739
610.9103350.1793310.0896654
620.9659590.06808110.0340405
630.9776010.04479880.0223994
640.9902180.01956340.00978168
650.9917960.01640870.00820437
660.9934240.01315240.00657622
670.9948870.01022680.00511339
680.9965120.006976120.00348806
690.9984150.003170690.00158535
700.9990710.001857730.000928866
710.9994170.001166070.000583037
720.9997690.0004623750.000231187
730.9999250.0001505587.5279e-05
740.9999794.10032e-052.05016e-05
750.9999755.09853e-052.54927e-05
760.9999784.41488e-052.20744e-05
770.9999852.91821e-051.45911e-05
780.9999911.88128e-059.4064e-06
790.9999967.38681e-063.6934e-06
800.9999976.68404e-063.34202e-06
810.9999959.43788e-064.71894e-06
820.9999992.04549e-061.02275e-06
830.9999991.82999e-069.14994e-07
840.9999992.46895e-061.23448e-06
850.9999991.06521e-065.32606e-07
8618.42633e-074.21317e-07
8717.14428e-073.57214e-07
880.9999991.12847e-065.64237e-07
890.9999991.61043e-068.05216e-07
9017.52188e-073.76094e-07
910.9999991.07192e-065.3596e-07
9211.72646e-078.63228e-08
9312.91655e-071.45828e-07
9414.47343e-072.23672e-07
9517.26818e-073.63409e-07
9615.86134e-072.93067e-07
970.9999991.01743e-065.08714e-07
980.9999991.47984e-067.3992e-07
990.9999991.23495e-066.17475e-07
1000.9999992.05131e-061.02566e-06
1010.9999991.59251e-067.96255e-07
1020.9999992.80219e-061.4011e-06
1030.9999984.45469e-062.22734e-06
1040.9999967.53474e-063.76737e-06
1050.9999975.74478e-062.87239e-06
1060.9999984.96516e-062.48258e-06
1070.9999968.59237e-064.29619e-06
1080.9999951.01193e-055.05963e-06
1090.9999991.38812e-066.94058e-07
1100.9999992.48235e-061.24117e-06
1110.9999984.17865e-062.08933e-06
1120.9999967.1952e-063.5976e-06
1130.9999968.73655e-064.36827e-06
1140.9999951.00717e-055.03587e-06
1150.9999941.24196e-056.2098e-06
1160.999991.98114e-059.90568e-06
1170.9999843.27967e-051.63983e-05
1180.9999852.9855e-051.49275e-05
1190.999983.93655e-051.96827e-05
1200.9999941.23689e-056.18446e-06
1210.9999983.54287e-061.77143e-06
1220.9999976.18767e-063.09383e-06
1230.9999991.18958e-065.94792e-07
1240.9999991.76073e-068.80366e-07
1250.9999992.8773e-061.43865e-06
1260.9999975.27958e-062.63979e-06
1270.9999967.94192e-063.97096e-06
1280.9999931.41023e-057.05116e-06
1290.9999872.50997e-051.25499e-05
1300.999991.93397e-059.66985e-06
1310.9999911.70676e-058.53378e-06
13216.58826e-073.29413e-07
13311.84612e-079.2306e-08
13413.77425e-071.88712e-07
13517.20351e-073.60176e-07
1360.9999991.48119e-067.40597e-07
1370.9999992.96027e-061.48013e-06
1380.9999992.5435e-061.27175e-06
1390.9999975.04296e-062.52148e-06
1400.9999967.83248e-063.91624e-06
1410.9999931.39609e-056.98044e-06
1420.9999882.38691e-051.19345e-05
1430.9999872.60271e-051.30135e-05
1440.9999843.11448e-051.55724e-05
1450.9999725.65915e-052.82958e-05
1460.9999578.64351e-054.32175e-05
1470.9999330.0001346436.73213e-05
1480.9998810.0002382160.000119108
1490.9997880.0004243190.00021216
1500.9996180.0007649710.000382486
1510.9998490.0003013050.000150652
1520.9997120.0005750890.000287544
1530.9995670.0008669720.000433486
1540.9998320.0003351670.000167584
1550.9996890.0006219230.000310961
1560.9998140.0003719850.000185992
1570.9996640.0006724980.000336249
1580.9993430.001313090.000656544
1590.9990540.001891130.000945564
1600.9985510.002898290.00144915
1610.9980070.003985470.00199273
1620.9973270.005346180.00267309
1630.9949010.0101980.00509899
1640.9961930.007614040.00380702
1650.9965950.00681050.00340525
1660.9931030.01379350.00689677
1670.9887370.02252640.0112632
1680.9979810.004037370.00201869
1690.9949340.01013190.00506595
1700.9878670.02426620.0121331
1710.973650.05269990.02635
1720.9797060.04058720.0202936
1730.9576680.08466440.0423322
1740.9022180.1955640.0977819
1750.8323480.3353050.167652


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level990.622642NOK
5% type I error level1300.81761NOK
10% type I error level1370.861635NOK