Multiple Linear Regression - Estimated Regression Equation |
maanden[t] = + 7.08579530057502 + 2.49554042294913e-06gemiddeldetemperatuur[t] -0.00779838678952947aantaldagenzonneschijn[t] + 0.00876250532166617aantaldagenregen[t] + 0.0576395321590154aantaldagenonweer[t] -0.0467467520537699aantaldagensneeuw[t] + e[t] |
Multiple Linear Regression - Ordinary Least Squares | |||||
Variable | Parameter | S.D. | T-STAT H0: parameter = 0 | 2-tail p-value | 1-tail p-value |
(Intercept) | 7.08579530057502 | 3.367413 | 2.1042 | 0.039557 | 0.019779 |
gemiddeldetemperatuur | 2.49554042294913e-06 | 1.5e-05 | 0.1692 | 0.866244 | 0.433122 |
aantaldagenzonneschijn | -0.00779838678952947 | 0.012595 | -0.6192 | 0.538154 | 0.269077 |
aantaldagenregen | 0.00876250532166617 | 0.149868 | 0.0585 | 0.95357 | 0.476785 |
aantaldagenonweer | 0.0576395321590154 | 0.128835 | 0.4474 | 0.656203 | 0.328102 |
aantaldagensneeuw | -0.0467467520537699 | 0.145511 | -0.3213 | 0.749131 | 0.374565 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.162446509353474 |
R-squared | 0.0263888684011284 |
Adjusted R-squared | -0.0547453925654442 |
F-TEST (value) | 0.325249384005613 |
F-TEST (DF numerator) | 5 |
F-TEST (DF denominator) | 60 |
p-value | 0.89584792733891 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 3.47519174659079 |
Sum Squared Residuals | 724.617460534366 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 4 | 6.14505598550167 | -2.14505598550167 |
2 | 5 | 7.7104344838959 | -2.7104344838959 |
3 | 7 | 5.61864259178824 | 1.38135740821176 |
4 | 8 | 8.37704181238276 | -0.37704181238276 |
5 | 9 | 6.57915633843057 | 2.42084366156943 |
6 | 10 | 6.73840474740227 | 3.26159525259773 |
7 | 11 | 6.76250039687463 | 4.23749960312537 |
8 | 12 | 6.94249242857758 | 5.05750757142242 |
9 | 1 | 7.17775949372438 | -6.17775949372438 |
10 | 2 | 7.006279424671 | -5.006279424671 |
11 | 3 | 6.04460416953195 | -3.04460416953195 |
12 | 4 | 5.04400773505375 | -1.04400773505375 |
13 | 5 | 6.80662486928524 | -1.80662486928524 |
14 | 6 | 7.21840833770852 | -1.21840833770852 |
15 | 7 | 6.66240392135026 | 0.337596078649738 |
16 | 8 | 6.60638884487482 | 1.39361115512518 |
17 | 9 | 6.82627345863322 | 2.17372654136678 |
18 | 10 | 6.55494439452157 | 3.44505560547843 |
19 | 11 | 6.8917624411658 | 4.1082375588342 |
20 | 12 | 7.05224325108945 | 4.94775674891055 |
21 | 1 | 7.03614759787965 | -6.03614759787965 |
22 | 2 | 6.32267879753678 | -4.32267879753678 |
23 | 3 | 6.89970984140741 | -3.89970984140741 |
24 | 4 | 6.73210668860796 | -2.73210668860796 |
25 | 5 | 6.13011035566218 | -1.13011035566218 |
26 | 6 | 6.3762902215609 | -0.376290221560892 |
27 | 7 | 6.65653576805734 | 0.343464231942656 |
28 | 8 | 6.92546336431026 | 1.07453663568974 |
29 | 9 | 6.31247076899891 | 2.68752923100109 |
30 | 10 | 6.55324960538508 | 3.44675039461492 |
31 | 11 | 7.38801610664544 | 3.61198389335456 |
32 | 12 | 6.60555856715775 | 5.39444143284225 |
33 | 1 | 6.50151344220193 | -5.50151344220193 |
34 | 2 | 6.85719734578959 | -4.85719734578959 |
35 | 3 | 6.19235459340948 | -3.19235459340948 |
36 | 4 | 6.26517558549768 | -2.26517558549768 |
37 | 5 | 6.57870138525243 | -1.57870138525243 |
38 | 6 | 6.24233884490195 | -0.242338844901947 |
39 | 7 | 6.64534565309629 | 0.354654346903712 |
40 | 8 | 5.73691617863531 | 2.26308382136469 |
41 | 9 | 6.24510910495885 | 2.75489089504115 |
42 | 10 | 6.82892732717708 | 3.17107267282292 |
43 | 11 | 7.33403629957448 | 3.66596370042552 |
44 | 12 | 6.6816161463772 | 5.31838385362281 |
45 | 1 | 6.68221107180657 | -5.68221107180657 |
46 | 2 | 6.84083744513761 | -4.84083744513761 |
47 | 3 | 6.59729655650814 | -3.59729655650814 |
48 | 4 | 5.86047203977843 | -1.86047203977843 |
49 | 5 | 6.22081137707564 | -1.22081137707564 |
50 | 6 | 5.32563607565182 | 0.674363924348176 |
51 | 7 | 5.92623994328212 | 1.07376005671788 |
52 | 8 | 7.09138772616976 | 0.908612273830239 |
53 | 9 | 6.59730116619796 | 2.40269883380204 |
54 | 10 | 6.65164939023978 | 3.34835060976022 |
55 | 11 | 6.86761925880381 | 4.13238074119619 |
56 | 12 | 6.03873616292788 | 5.96126383707212 |
57 | 1 | 6.6773147732211 | -5.6773147732211 |
58 | 2 | 6.74938671762994 | -4.74938671762994 |
59 | 3 | 5.50953439637016 | -2.50953439637016 |
60 | 4 | 5.90259731191546 | -1.90259731191546 |
61 | 5 | 5.62467645946364 | -0.62467645946364 |
62 | 6 | 6.77084771919473 | -0.77084771919473 |
63 | 7 | 6.74570650671115 | 0.254293493288855 |
64 | 8 | 7.02023887519399 | 0.979761124806014 |
65 | 9 | 6.28545687289219 | 2.71454312710781 |
66 | 10 | 6.20104343728262 | 3.79895656271738 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
9 | 0.441444320113875 | 0.88288864022775 | 0.558555679886125 |
10 | 0.914073527582796 | 0.171852944834407 | 0.0859264724172036 |
11 | 0.85391286826751 | 0.292174263464979 | 0.14608713173249 |
12 | 0.902121611511504 | 0.195756776976992 | 0.0978783884884958 |
13 | 0.84367043567171 | 0.312659128656579 | 0.156329564328289 |
14 | 0.78442775155891 | 0.431144496882181 | 0.21557224844109 |
15 | 0.708606619374016 | 0.582786761251967 | 0.291393380625984 |
16 | 0.622875365049023 | 0.754249269901954 | 0.377124634950977 |
17 | 0.533635665080078 | 0.932728669839843 | 0.466364334919922 |
18 | 0.45073026638971 | 0.901460532779419 | 0.54926973361029 |
19 | 0.501753597725839 | 0.996492804548322 | 0.498246402274161 |
20 | 0.670844869668981 | 0.658310260662037 | 0.329155130331019 |
21 | 0.853450588865067 | 0.293098822269866 | 0.146549411134933 |
22 | 0.92185922562317 | 0.15628154875366 | 0.0781407743768298 |
23 | 0.910142692247872 | 0.179714615504255 | 0.0898573077521275 |
24 | 0.899780471887291 | 0.200439056225418 | 0.100219528112709 |
25 | 0.863053197156798 | 0.273893605686405 | 0.136946802843202 |
26 | 0.819143427899723 | 0.361713144200553 | 0.180856572100277 |
27 | 0.77287020722647 | 0.454259585547059 | 0.22712979277353 |
28 | 0.729100662198849 | 0.541798675602302 | 0.270899337801151 |
29 | 0.67583593705104 | 0.648328125897921 | 0.32416406294896 |
30 | 0.713789172605327 | 0.572421654789346 | 0.286210827394673 |
31 | 0.797932217464743 | 0.404135565070514 | 0.202067782535257 |
32 | 0.92156587992773 | 0.156868240144541 | 0.0784341200722707 |
33 | 0.92905219607736 | 0.141895607845279 | 0.0709478039226393 |
34 | 0.949341490806837 | 0.101317018386325 | 0.0506585091931626 |
35 | 0.931601504963193 | 0.136796990073615 | 0.0683984950368074 |
36 | 0.906225482010369 | 0.187549035979263 | 0.0937745179896313 |
37 | 0.869658275924124 | 0.260683448151751 | 0.130341724075876 |
38 | 0.82220088908511 | 0.355598221829782 | 0.177799110914891 |
39 | 0.770345408174049 | 0.459309183651901 | 0.229654591825951 |
40 | 0.717637759145783 | 0.564724481708434 | 0.282362240854217 |
41 | 0.657451285661317 | 0.685097428677366 | 0.342548714338683 |
42 | 0.605097818233823 | 0.789804363532354 | 0.394902181766177 |
43 | 0.668587674697081 | 0.662824650605838 | 0.331412325302919 |
44 | 0.898894230930575 | 0.20221153813885 | 0.101105769069425 |
45 | 0.883770076720937 | 0.232459846558126 | 0.116229923279063 |
46 | 0.918909124507931 | 0.162181750984139 | 0.0810908754920693 |
47 | 0.89515572692023 | 0.209688546159542 | 0.104844273079771 |
48 | 0.852628482303129 | 0.294743035393742 | 0.147371517696871 |
49 | 0.790275180932579 | 0.419449638134842 | 0.209724819067421 |
50 | 0.756072127447557 | 0.487855745104886 | 0.243927872552443 |
51 | 0.782144752756381 | 0.435710494487238 | 0.217855247243619 |
52 | 0.689955448967158 | 0.620089102065684 | 0.310044551032842 |
53 | 0.587596780077442 | 0.824806439845116 | 0.412403219922558 |
54 | 0.82821300813969 | 0.34357398372062 | 0.17178699186031 |
55 | 0.898341005661135 | 0.20331798867773 | 0.101658994338865 |
56 | 0.93717026772533 | 0.125659464549339 | 0.0628297322746697 |
57 | 0.866578305293918 | 0.266843389412165 | 0.133421694706082 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 0 | 0 | OK |
5% type I error level | 0 | 0 | OK |
10% type I error level | 0 | 0 | OK |