Multiple Linear Regression - Estimated Regression Equation
A1[t] = + 663.989 + 0.639119Accidents[t] -136.639Belt[t] + 398.737M1[t] + 93.668M2[t] -138.647M3[t] -15.7447M4[t] -216.691M5[t] -43.7478M6[t] -147.831M7[t] -81.713M8[t] -100.591M9[t] -136.856M10[t] -125.025M11[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)663.989128.9555.1496.9237e-073.46185e-07
Accidents0.6391190.05750411.114.16638e-222.08319e-22
Belt-136.63937.423-3.6510.0003434630.000171732
M1398.73754.25327.357.05684e-123.52842e-12
M293.66859.05651.5860.1145070.0572536
M3-138.64757.3545-2.4170.01664760.00832381
M4-15.744761.2904-0.25690.7975650.398783
M5-216.69156.577-3.830.0001776978.88483e-05
M6-43.747858.4079-0.7490.4548490.227424
M7-147.83155.9542-2.6420.008979960.00448998
M8-81.71355.4989-1.4720.1427060.0713531
M9-100.59153.961-1.8640.06395650.0319782
M10-136.85650.558-2.7070.007456440.00372822
M11-125.02547.6498-2.6240.009453830.00472692


Multiple Linear Regression - Regression Statistics
Multiple R0.896204
R-squared0.803181
Adjusted R-squared0.788726
F-TEST (value)55.5619
F-TEST (DF numerator)13
F-TEST (DF denominator)177
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation133.432
Sum Squared Residuals3151340


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1NANA-34.4486
216871667.4919.506
315081534.42-26.4243
415071612.34-105.34
513851338.9546.0499
616321633.54-1.54444
715111576.04-65.04
815591501.5757.4335
916301634.6-4.59658
1015791840.35-261.348
1116531537.82115.184
1221522186.46-34.4623
1321482281.7-133.702
1417521609.71142.291
1517651691.9973.0082
1617171612.91104.09
1715581574.7-16.7022
1815751724.77-149.768
1915201447.6972.3098
2018051667.04137.957
2118001891.48-91.4837
2217191682.8736.1316
2320082013.73-5.72568
2422422124.14117.863
2524782263.4214.601
2620301982.3747.6299
2716551647.537.46549
2816931670.9122.0924
2916231554.1468.857
3018051722.3882.6235
3117461764.22-18.2191
3217951467.13327.869
3319262107.26-181.258
3416191593.1225.8837
3519921823.94168.062
3622332433.09-200.093
3721921999.62192.381
3820802010.1269.8751
3917681584.02183.978
4018351976.2-141.197
4115691397.53171.471
4219761895.0380.9734
4318531549.75303.252
4419651975.75-10.7511
4516891701.03-12.0319
4617781872.93-94.9318
4719761939.2136.7894
4823972145.96251.042
4926542569.2584.7524
5020971731.14365.856
5119632174.77-211.774
5216771463.45213.547
5319411716.96224.036
5420031992.0710.9348
5518131605.27207.729
5620121995.3216.6786
5719121684.5227.5
5820841896.62187.382
5920802000.0979.9053
6021182058.4359.5708
6121502260.25-110.253
6216081619.7-11.6979
6315031486.5116.4931
6415481719.61-171.613
6513821420.38-38.3772
6617311586.15144.849
6717981807.29-9.29349
6817791736.1942.8081
6918871737.58149.417
7020041803200.999
7120771959.82117.178
7220922111.62-19.6165
7320512098.3-47.3025
7415771802.17-225.166
7513561235.51120.493
7616521688.12-36.1197
7713821391.43-9.42941
7815191535.77-16.7675
7914211547.44-126.437
8014421520.78-78.7786
8115431411.8131.202
8216561851.49-195.485
8315611725.41-164.412
8419051710.15194.852
8521992541.4-342.399
8614731242.58230.418
8716551787.82-132.815
8814071437.15-30.15
8913951321.8573.1519
9015301712.45-182.454
9113091213.3995.613
9215261802.24-276.244
9313271344.31-17.3129
9416271669.36-42.3587
9517481907.35-159.345
9619581799.99158.006
9722742279.06-5.06285
9816481674.14-26.1386
9914011534.93-133.928
10014111346.2364.7702
10114031600.7-197.702
10213941366.7327.2682
10315201624.35-104.349
10415281416.66111.337
10516431732.05-89.0484
10615151647.2-132.202
10716851764.64-79.6375
10820002097.84-97.8425
10922151951.05263.951
11019562018.28-62.2846
11114621479.72-17.719
11215631475.4687.536
11314591669.89-210.892
11414461399.1846.8219
11516221594.1527.8471
11616571632.4724.5299
11716381597.7740.2299
11816431809.16-166.158
11916831742.68-59.676
12020502009.4540.5515
12122622130.18131.816
12218132019.47-206.469
12314451265180.003
12417621742.7719.2329
12514611439.8221.1794
12615561553.182.81923
12714311579.47-148.467
12814271487.75-60.7483
12915541492.661.4034
13016451819.43-174.428
13116531711.52-58.5245
13220161935.8680.141
13322072169.537.5019
13416651791.85-126.855
13513611372.45-11.4463
13615061521.94-15.9378
13713601499.98-139.98
13814531380.2772.7283
13915221636.19-114.189
14014601460.75-0.753786
14115521698.8-146.803
14215481370.11177.887
14318271994.52-167.519
14417371800.79-63.7873
14519412156.49-215.493
14614741526.86-52.8631
14714581461.57-3.56751
14815421558.04-16.037
14914041387.4216.5789
15015221701.95-179.952
15113851291.3593.6543
15216411768.76-127.757
15315101594.75-84.7454
15416811475.84205.162
15519381837.11100.892
15618682135.28-267.283
15717261951.18-225.184
15814561466.9-10.8989
15914451509.64-64.6419
16014561488.67-32.6679
16113651493.99-128.989
16214871396.1790.833
16315581728.55-170.552
16414881386.15101.847
16516841799.5-115.503
16615941559.9234.0766
16718501844.725.2827
16819981936.5761.4303
16920791881.57197.433
17014941604.15-110.149
17110571097.1-40.0962
17212181150.6167.3903
17311681103.2964.7059
17412361289.84-53.8444
17510761075.590.406659
17611741373.78-199.781
17711391052.8686.1365
17814271290.14136.862
17914871498.34-11.3368
18014831763.37-280.371
18115131521.59-8.59148
18213571400.05-43.0529
18311651104.0360.9727
18412821311.6-29.596
18511101053.9656.042
18612971272.5224.4779
18711851229.27-44.2656
18812221287.65-65.6461
18912841237.1146.894
19014441381.4762.5259
19115751492.1282.8836
1921737NANA


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
170.4689550.937910.531045
180.3866850.773370.613315
190.3452550.690510.654745
200.2542080.5084170.745792
210.1791530.3583060.820847
220.3525360.7050720.647464
230.2874450.5748910.712555
240.2713970.5427940.728603
250.4804990.9609980.519501
260.3964420.7928840.603558
270.3157620.6315230.684238
280.2453070.4906140.754693
290.190960.3819190.80904
300.1867510.3735030.813249
310.1404560.2809120.859544
320.2232490.4464990.776751
330.2180660.4361320.781934
340.2032830.4065670.796717
350.1876890.3753790.812311
360.2527920.5055840.747208
370.2870830.5741670.712917
380.2367720.4735440.763228
390.2574630.5149260.742537
400.2505870.5011730.749413
410.2605420.5210850.739458
420.2366330.4732670.763367
430.4207280.8414550.579272
440.4301890.8603780.569811
450.389250.77850.61075
460.3429770.6859540.657023
470.2963920.5927840.703608
480.4491430.8982850.550857
490.4091510.8183020.590849
500.6429420.7141170.357058
510.7122030.5755940.287797
520.8030820.3938350.196918
530.8447710.3104590.155229
540.816060.367880.18394
550.8530050.2939890.146995
560.8442820.3114360.155718
570.9261820.1476360.073818
580.9547920.09041520.0452076
590.9471740.1056530.0528265
600.934680.130640.0653198
610.9364810.1270390.0635195
620.9318020.1363960.068198
630.914820.1703610.0851804
640.9215990.1568020.0784012
650.9179680.1640650.0820323
660.9324580.1350840.0675422
670.930980.1380390.0690196
680.9376430.1247140.0623569
690.961420.07715980.0385799
700.9808880.03822370.0191119
710.9794420.0411160.020558
720.9740580.0518840.025942
730.9692810.06143780.0307189
740.9845040.03099270.0154964
750.9837280.03254470.0162724
760.9788280.04234450.0211722
770.973990.05201920.0260096
780.9670840.06583120.0329156
790.9697410.06051790.030259
800.9679930.06401450.0320072
810.9639110.07217730.0360886
820.9750180.04996450.0249823
830.9788460.04230760.0211538
840.9820020.03599680.0179984
850.9949470.01010580.00505291
860.9973940.005211120.00260556
870.9974840.00503120.0025156
880.9964990.007001570.00350079
890.9954570.009086720.00454336
900.9967110.006578110.00328905
910.995750.008500260.00425013
920.9988040.002392160.00119608
930.9982990.003402370.00170119
940.9976460.004708470.00235424
950.9975950.004809590.0024048
960.9985140.002972260.00148613
970.9979080.004183530.00209177
980.997230.00554030.00277015
990.9973790.005241380.00262069
1000.9965310.006938880.00346944
1010.9974720.005056250.00252812
1020.9965180.006963080.00348154
1030.9958370.008325680.00416284
1040.9953910.009218940.00460947
1050.9947980.01040350.00520176
1060.9947650.010470.00523501
1070.9931660.01366850.00683424
1080.9930370.01392550.00696277
1090.99830.00339950.00169975
1100.9978240.004352430.00217621
1110.9968850.006230080.00311504
1120.9960970.00780640.0039032
1130.9967890.006422420.00321121
1140.9963720.007255170.00362758
1150.996080.007840210.0039201
1160.9950730.009853050.00492652
1170.9931720.01365540.0068277
1180.9943960.01120850.00560426
1190.9928330.01433380.00716689
1200.9962990.00740190.00370095
1210.9975850.004829690.00241484
1220.9975070.00498690.00249345
1230.9989790.002042010.00102101
1240.9985780.002843580.00142179
1250.9979710.004057950.00202898
1260.9970110.005977280.00298864
1270.9966960.006608360.00330418
1280.9953710.009257430.00462872
1290.9934210.01315820.00657911
1300.9961860.007627940.00381397
1310.9953940.009212460.00460623
1320.9991690.001662650.000831327
1330.9989010.002198060.00109903
1340.998580.002840850.00142043
1350.9978040.004391170.00219559
1360.9967630.006473230.00323661
1370.9960220.007955630.00397781
1380.9949760.0100490.00502448
1390.9934960.01300890.00650446
1400.990460.01907980.00953991
1410.9908180.01836440.0091822
1420.9888770.02224540.0111227
1430.9922110.01557890.00778943
1440.9899760.02004730.0100236
1450.9924070.01518690.00759346
1460.9890320.02193620.0109681
1470.9839610.03207840.0160392
1480.9765710.04685710.0234285
1490.9664320.06713570.0335679
1500.9625480.07490450.0374522
1510.9657970.06840550.0342027
1520.9556470.08870630.0443531
1530.9388550.122290.0611452
1540.9387460.1225070.0612536
1550.9177020.1645950.0822976
1560.9466470.1067060.0533528
1570.9838940.03221290.0161065
1580.974650.05069980.0253499
1590.9705290.05894150.0294708
1600.9651050.06978950.0348947
1610.9651950.0696110.0348055
1620.9510470.09790540.0489527
1630.9383460.1233080.0616541
1640.9378280.1243440.062172
1650.9690260.06194860.0309743
1660.9683780.06324310.0316216
1670.9856880.02862420.0143121
1680.9713580.05728350.0286417
1690.9867430.0265130.0132565
1700.977340.04532090.0226605
1710.9671410.06571850.0328593
1720.9509140.09817130.0490857
1730.8884570.2230870.111543
1740.8083860.3832270.191614
1750.6317650.7364690.368235


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level440.27673NOK
5% type I error level760.477987NOK
10% type I error level990.622642NOK