Multiple Linear Regression - Estimated Regression Equation |
Weeks[t] = + 4.57402294269579 + 0.398138936815316CorrectAnalysis[t] -0.019202111471884t + 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) | 4.57402294269579 | 0.081898 | 55.85 | 0 | 0 |
CorrectAnalysis | 0.398138936815316 | 0.150358 | 2.6479 | 0.008959 | 0.004479 |
t | -0.019202111471884 | 0.000907 | -21.1801 | 0 | 0 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.866793900800602 |
R-squared | 0.751331666465124 |
Adjusted R-squared | 0.748038046153403 |
F-TEST (value) | 228.117267734699 |
F-TEST (DF numerator) | 2 |
F-TEST (DF denominator) | 151 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.500144025788258 |
Sum Squared Residuals | 37.7717510262846 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 4 | 4.5548208312239 | -0.554820831223904 |
2 | 4 | 4.53561871975202 | -0.53561871975202 |
3 | 4 | 4.51641660828014 | -0.516416608280137 |
4 | 4 | 4.49721449680825 | -0.497214496808252 |
5 | 4 | 4.47801238533637 | -0.478012385336368 |
6 | 4 | 4.45881027386448 | -0.458810273864484 |
7 | 4 | 4.4396081623926 | -0.4396081623926 |
8 | 4 | 4.42040605092072 | -0.420406050920716 |
9 | 4 | 4.40120393944883 | -0.401203939448832 |
10 | 4 | 4.38200182797695 | -0.382001827976948 |
11 | 4 | 4.36279971650506 | -0.362799716505065 |
12 | 4 | 4.34359760503318 | -0.34359760503318 |
13 | 4 | 4.3243954935613 | -0.324395493561297 |
14 | 4 | 4.30519338208941 | -0.305193382089413 |
15 | 4 | 4.28599127061753 | -0.285991270617529 |
16 | 4 | 4.26678915914564 | -0.266789159145645 |
17 | 4 | 4.64572598448908 | -0.645725984489077 |
18 | 4 | 4.22838493620188 | -0.228384936201877 |
19 | 4 | 4.20918282472999 | -0.209182824729993 |
20 | 4 | 4.58811965007343 | -0.588119650073425 |
21 | 4 | 4.17077860178622 | -0.170778601786225 |
22 | 4 | 4.15157649031434 | -0.151576490314341 |
23 | 4 | 4.13237437884246 | -0.132374378842457 |
24 | 4 | 4.11317226737057 | -0.113172267370573 |
25 | 4 | 4.09397015589869 | -0.0939701558986889 |
26 | 4 | 4.07476804442681 | -0.074768044426805 |
27 | 4 | 4.05556593295492 | -0.0555659329549209 |
28 | 4 | 4.03636382148304 | -0.036363821483037 |
29 | 4 | 4.01716171001115 | -0.017161710011153 |
30 | 4 | 3.99795959853927 | 0.0020404014607309 |
31 | 4 | 3.97875748706738 | 0.021242512932615 |
32 | 4 | 3.9595553755955 | 0.0404446244044989 |
33 | 4 | 3.94035326412362 | 0.0596467358763829 |
34 | 4 | 3.92115115265173 | 0.0788488473482668 |
35 | 4 | 3.90194904117985 | 0.0980509588201509 |
36 | 4 | 3.88274692970797 | 0.117253070292035 |
37 | 4 | 3.86354481823608 | 0.136455181763919 |
38 | 4 | 3.8443427067642 | 0.155657293235803 |
39 | 4 | 3.82514059529231 | 0.174859404707687 |
40 | 4 | 3.80593848382043 | 0.194061516179571 |
41 | 4 | 4.18487530916386 | -0.184875309163861 |
42 | 4 | 3.76753426087666 | 0.232465739123339 |
43 | 4 | 3.74833214940478 | 0.251667850595223 |
44 | 4 | 3.72913003793289 | 0.270869962067107 |
45 | 4 | 3.70992792646101 | 0.290072073538991 |
46 | 4 | 3.69072581498913 | 0.309274185010875 |
47 | 4 | 3.67152370351724 | 0.328476296482758 |
48 | 4 | 3.65232159204536 | 0.347678407954642 |
49 | 4 | 3.63311948057347 | 0.366880519426526 |
50 | 4 | 3.61391736910159 | 0.38608263089841 |
51 | 4 | 3.59471525762971 | 0.405284742370294 |
52 | 4 | 3.97365208297314 | 0.0263479170268622 |
53 | 4 | 3.55631103468594 | 0.443688965314062 |
54 | 4 | 3.93524786002937 | 0.0647521399706302 |
55 | 4 | 3.51790681174217 | 0.48209318825783 |
56 | 4 | 3.49870470027029 | 0.501295299729714 |
57 | 4 | 3.4795025887984 | 0.520497411201598 |
58 | 4 | 3.46030047732652 | 0.539699522673482 |
59 | 4 | 3.44109836585463 | 0.558901634145366 |
60 | 4 | 3.82003519119807 | 0.179964808801934 |
61 | 4 | 3.40269414291087 | 0.597305857089134 |
62 | 4 | 3.38349203143898 | 0.616507968561018 |
63 | 4 | 3.3642899199671 | 0.635710080032902 |
64 | 4 | 3.34508780849521 | 0.654912191504786 |
65 | 4 | 3.32588569702333 | 0.67411430297667 |
66 | 4 | 3.30668358555145 | 0.693316414448554 |
67 | 4 | 3.68562041089488 | 0.314379589105122 |
68 | 4 | 3.26827936260768 | 0.731720637392322 |
69 | 4 | 3.24907725113579 | 0.750922748864206 |
70 | 4 | 3.22987513966391 | 0.77012486033609 |
71 | 4 | 3.21067302819203 | 0.789326971807974 |
72 | 4 | 3.19147091672014 | 0.808529083279858 |
73 | 4 | 3.17226880524826 | 0.827731194751742 |
74 | 4 | 3.15306669377637 | 0.846933306223626 |
75 | 4 | 3.13386458230449 | 0.86613541769551 |
76 | 4 | 3.11466247083261 | 0.885337529167393 |
77 | 4 | 3.09546035936072 | 0.904539640639277 |
78 | 4 | 3.07625824788884 | 0.923741752111161 |
79 | 4 | 3.45519507323227 | 0.544804926767729 |
80 | 4 | 3.03785402494507 | 0.962145975054929 |
81 | 4 | 3.01865191347319 | 0.981348086526813 |
82 | 4 | 2.9994498020013 | 1.0005501979987 |
83 | 4 | 2.98024769052942 | 1.01975230947058 |
84 | 4 | 3.35918451587285 | 0.640815484127149 |
85 | 4 | 2.94184346758565 | 1.05815653241435 |
86 | 4 | 2.92264135611377 | 1.07735864388623 |
87 | 2 | 2.90343924464188 | -0.903439244641883 |
88 | 2 | 2.88423713317 | -0.884237133169999 |
89 | 2 | 2.86503502169812 | -0.865035021698115 |
90 | 2 | 2.84583291022623 | -0.845832910226231 |
91 | 2 | 2.82663079875435 | -0.826630798754347 |
92 | 2 | 2.80742868728246 | -0.807428687282463 |
93 | 2 | 2.78822657581058 | -0.788226575810579 |
94 | 2 | 2.76902446433869 | -0.769024464338695 |
95 | 2 | 2.74982235286681 | -0.749822352866811 |
96 | 2 | 2.73062024139493 | -0.730620241394927 |
97 | 2 | 2.71141812992304 | -0.711418129923043 |
98 | 2 | 2.69221601845116 | -0.692216018451159 |
99 | 2 | 2.67301390697928 | -0.673013906979275 |
100 | 2 | 2.65381179550739 | -0.653811795507391 |
101 | 2 | 2.63460968403551 | -0.634609684035507 |
102 | 2 | 2.61540757256362 | -0.615407572563623 |
103 | 2 | 2.59620546109174 | -0.596205461091739 |
104 | 2 | 2.57700334961986 | -0.577003349619855 |
105 | 2 | 2.55780123814797 | -0.557801238147972 |
106 | 2 | 2.53859912667609 | -0.538599126676088 |
107 | 2 | 2.5193970152042 | -0.519397015204204 |
108 | 2 | 2.50019490373232 | -0.50019490373232 |
109 | 2 | 2.48099279226044 | -0.480992792260436 |
110 | 2 | 2.46179068078855 | -0.461790680788552 |
111 | 2 | 2.44258856931667 | -0.442588569316668 |
112 | 2 | 2.42338645784478 | -0.423386457844784 |
113 | 2 | 2.4041843463729 | -0.4041843463729 |
114 | 2 | 2.38498223490102 | -0.384982234901016 |
115 | 2 | 2.36578012342913 | -0.365780123429132 |
116 | 2 | 2.34657801195725 | -0.346578011957248 |
117 | 2 | 2.32737590048536 | -0.327375900485364 |
118 | 2 | 2.30817378901348 | -0.30817378901348 |
119 | 2 | 2.2889716775416 | -0.288971677541596 |
120 | 2 | 2.26976956606971 | -0.269769566069712 |
121 | 2 | 2.25056745459783 | -0.250567454597828 |
122 | 2 | 2.23136534312594 | -0.231365343125944 |
123 | 2 | 2.21216323165406 | -0.21216323165406 |
124 | 2 | 2.19296112018218 | -0.192961120182176 |
125 | 2 | 2.17375900871029 | -0.173759008710292 |
126 | 2 | 2.15455689723841 | -0.154556897238408 |
127 | 2 | 2.13535478576652 | -0.135354785766524 |
128 | 2 | 2.11615267429464 | -0.11615267429464 |
129 | 2 | 2.09695056282276 | -0.0969505628227562 |
130 | 2 | 2.07774845135087 | -0.0777484513508723 |
131 | 2 | 2.05854633987899 | -0.0585463398789882 |
132 | 2 | 2.0393442284071 | -0.0393442284071043 |
133 | 2 | 2.02014211693522 | -0.0201421169352203 |
134 | 2 | 2.00094000546334 | -0.000940005463336397 |
135 | 2 | 1.98173789399145 | 0.0182621060085476 |
136 | 2 | 1.96253578251957 | 0.0374642174804317 |
137 | 2 | 1.94333367104768 | 0.0566663289523156 |
138 | 2 | 1.9241315595758 | 0.0758684404241996 |
139 | 2 | 1.90492944810392 | 0.0950705518960836 |
140 | 2 | 1.88572733663203 | 0.114272663367967 |
141 | 2 | 2.26466416197546 | -0.264664161975465 |
142 | 2 | 1.84732311368826 | 0.152676886311736 |
143 | 2 | 1.82812100221638 | 0.17187899778362 |
144 | 2 | 1.8089188907445 | 0.191081109255503 |
145 | 2 | 1.78971677927261 | 0.210283220727387 |
146 | 2 | 1.77051466780073 | 0.229485332199271 |
147 | 2 | 1.75131255632884 | 0.248687443671155 |
148 | 2 | 1.73211044485696 | 0.267889555143039 |
149 | 2 | 1.71290833338508 | 0.287091666614923 |
150 | 2 | 1.69370622191319 | 0.306293778086807 |
151 | 2 | 1.67450411044131 | 0.325495889558691 |
152 | 2 | 2.05344093578474 | -0.0534409357847409 |
153 | 2 | 2.03423882431286 | -0.034238824312857 |
154 | 2 | 1.61689777602566 | 0.383102223974343 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
6 | 4.31847364936447e-46 | 8.63694729872895e-46 | 1 |
7 | 1.34710648090933e-60 | 2.69421296181866e-60 | 1 |
8 | 4.12405267588094e-75 | 8.24810535176187e-75 | 1 |
9 | 3.02388798489128e-92 | 6.04777596978256e-92 | 1 |
10 | 1.89286858384618e-107 | 3.78573716769236e-107 | 1 |
11 | 1.41659287855029e-128 | 2.83318575710058e-128 | 1 |
12 | 7.52961142115646e-135 | 1.50592228423129e-134 | 1 |
13 | 1.99789298540864e-170 | 3.99578597081728e-170 | 1 |
14 | 2.48062716886072e-163 | 4.96125433772144e-163 | 1 |
15 | 2.89696360654251e-178 | 5.79392721308502e-178 | 1 |
16 | 0 | 0 | 1 |
17 | 3.81624363935464e-224 | 7.63248727870928e-224 | 1 |
18 | 8.55982770523422e-225 | 1.71196554104684e-224 | 1 |
19 | 4.65737871814198e-238 | 9.31475743628396e-238 | 1 |
20 | 2.25016018787384e-265 | 4.50032037574768e-265 | 1 |
21 | 7.05184428228485e-304 | 1.41036885645697e-303 | 1 |
22 | 1.88392430829062e-286 | 3.76784861658124e-286 | 1 |
23 | 2.0472324736498e-296 | 4.0944649472996e-296 | 1 |
24 | 3.80326027216316e-315 | 7.60652054432633e-315 | 1 |
25 | 0 | 0 | 1 |
26 | 0 | 0 | 1 |
27 | 0 | 0 | 1 |
28 | 0 | 0 | 1 |
29 | 0 | 0 | 1 |
30 | 0 | 0 | 1 |
31 | 0 | 0 | 1 |
32 | 0 | 0 | 1 |
33 | 0 | 0 | 1 |
34 | 0 | 0 | 1 |
35 | 0 | 0 | 1 |
36 | 0 | 0 | 1 |
37 | 0 | 0 | 1 |
38 | 0 | 0 | 1 |
39 | 0 | 0 | 1 |
40 | 0 | 0 | 1 |
41 | 0 | 0 | 1 |
42 | 0 | 0 | 1 |
43 | 0 | 0 | 1 |
44 | 0 | 0 | 1 |
45 | 0 | 0 | 1 |
46 | 0 | 0 | 1 |
47 | 0 | 0 | 1 |
48 | 0 | 0 | 1 |
49 | 0 | 0 | 1 |
50 | 0 | 0 | 1 |
51 | 0 | 0 | 1 |
52 | 0 | 0 | 1 |
53 | 0 | 0 | 1 |
54 | 0 | 0 | 1 |
55 | 0 | 0 | 1 |
56 | 0 | 0 | 1 |
57 | 0 | 0 | 1 |
58 | 0 | 0 | 1 |
59 | 0 | 0 | 1 |
60 | 0 | 0 | 1 |
61 | 0 | 0 | 1 |
62 | 0 | 0 | 1 |
63 | 0 | 0 | 1 |
64 | 0 | 0 | 1 |
65 | 0 | 0 | 1 |
66 | 0 | 0 | 1 |
67 | 0 | 0 | 1 |
68 | 0 | 0 | 1 |
69 | 0 | 0 | 1 |
70 | 0 | 0 | 1 |
71 | 0 | 0 | 1 |
72 | 0 | 0 | 1 |
73 | 0 | 0 | 1 |
74 | 0 | 0 | 1 |
75 | 0 | 0 | 1 |
76 | 0 | 0 | 1 |
77 | 0 | 0 | 1 |
78 | 0 | 0 | 1 |
79 | 0 | 0 | 1 |
80 | 0 | 0 | 1 |
81 | 0 | 0 | 1 |
82 | 0 | 0 | 1 |
83 | 0 | 0 | 1 |
84 | 0 | 0 | 1 |
85 | 0 | 0 | 1 |
86 | 1 | 3.15178216080406e-20 | 1.57589108040203e-20 |
87 | 1 | 0 | 0 |
88 | 1 | 0 | 0 |
89 | 1 | 0 | 0 |
90 | 1 | 0 | 0 |
91 | 1 | 0 | 0 |
92 | 1 | 0 | 0 |
93 | 1 | 0 | 0 |
94 | 1 | 0 | 0 |
95 | 1 | 0 | 0 |
96 | 1 | 0 | 0 |
97 | 1 | 0 | 0 |
98 | 1 | 0 | 0 |
99 | 1 | 0 | 0 |
100 | 1 | 0 | 0 |
101 | 1 | 0 | 0 |
102 | 1 | 0 | 0 |
103 | 1 | 0 | 0 |
104 | 1 | 0 | 0 |
105 | 1 | 0 | 0 |
106 | 1 | 0 | 0 |
107 | 1 | 0 | 0 |
108 | 1 | 0 | 0 |
109 | 1 | 0 | 0 |
110 | 1 | 0 | 0 |
111 | 1 | 0 | 0 |
112 | 1 | 0 | 0 |
113 | 1 | 0 | 0 |
114 | 1 | 0 | 0 |
115 | 1 | 0 | 0 |
116 | 1 | 0 | 0 |
117 | 1 | 0 | 0 |
118 | 1 | 0 | 0 |
119 | 1 | 0 | 0 |
120 | 1 | 0 | 0 |
121 | 1 | 0 | 0 |
122 | 1 | 0 | 0 |
123 | 1 | 0 | 0 |
124 | 1 | 0 | 0 |
125 | 1 | 0 | 0 |
126 | 1 | 0 | 0 |
127 | 1 | 0 | 0 |
128 | 1 | 0 | 0 |
129 | 1 | 0 | 0 |
130 | 1 | 5.82997462092671e-322 | 2.91498731046335e-322 |
131 | 1 | 7.31803256003365e-303 | 3.65901628001683e-303 |
132 | 1 | 1.58468049098392e-292 | 7.92340245491959e-293 |
133 | 1 | 1.40626202593012e-309 | 7.0313101296506e-310 |
134 | 1 | 1.07931061268491e-270 | 5.39655306342455e-271 |
135 | 1 | 5.37104333326053e-243 | 2.68552166663026e-243 |
136 | 1 | 2.26367483212499e-229 | 1.1318374160625e-229 |
137 | 1 | 2.33441796657889e-228 | 1.16720898328945e-228 |
138 | 1 | 0 | 0 |
139 | 1 | 8.17755482624976e-182 | 4.08877741312488e-182 |
140 | 1 | 5.28343969272384e-168 | 2.64171984636192e-168 |
141 | 1 | 2.37749156659831e-173 | 1.18874578329915e-173 |
142 | 1 | 1.9279034282302e-137 | 9.63951714115102e-138 |
143 | 1 | 7.78798943596299e-131 | 3.8939947179815e-131 |
144 | 1 | 2.23178611850328e-109 | 1.11589305925164e-109 |
145 | 1 | 7.63999322601849e-94 | 3.81999661300924e-94 |
146 | 1 | 2.22751180986007e-76 | 1.11375590493004e-76 |
147 | 1 | 1.54107711769038e-61 | 7.70538558845191e-62 |
148 | 1 | 1.01517129930471e-46 | 5.07585649652357e-47 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 143 | 1 | NOK |
5% type I error level | 143 | 1 | NOK |
10% type I error level | 143 | 1 | NOK |