Multiple Linear Regression - Estimated Regression Equation |
PS[t] = + 17.7328206986877 + 0.380763089814471CM[t] -0.358122279733057DA[t] + 0.0114452394212943PC[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) | 17.7328206986877 | 1.503706 | 11.7927 | 0 | 0 |
CM | 0.380763089814471 | 0.058879 | 6.4669 | 0 | 0 |
DA | -0.358122279733057 | 0.115743 | -3.0941 | 0.002342 | 0.001171 |
PC | 0.0114452394212943 | 0.115721 | 0.0989 | 0.921343 | 0.460671 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.47780279837152 |
R-squared | 0.228295514131655 |
Adjusted R-squared | 0.213359298276139 |
F-TEST (value) | 15.2846956913347 |
F-TEST (DF numerator) | 3 |
F-TEST (DF denominator) | 155 |
p-value | 9.22506182554628e-09 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 3.74013733053778 |
Sum Squared Residuals | 2168.23722394876 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 24 | 21.9947658110277 | 2.00523418897227 |
2 | 25 | 23.4041147823562 | 1.59588521764384 |
3 | 30 | 22.1486214625057 | 7.85137853749432 |
4 | 19 | 20.3806508739218 | -1.38065087392180 |
5 | 22 | 21.8245852322753 | 0.175414767724672 |
6 | 22 | 20.3239240143377 | 1.67607598566232 |
7 | 25 | 21.8126406553317 | 3.18735934466832 |
8 | 23 | 20.0115826922898 | 2.9884173077102 |
9 | 17 | 18.9367165155683 | -1.93671651556828 |
10 | 21 | 20.3465648244191 | 0.653435175580904 |
11 | 19 | 21.9721250009463 | -2.97212500094628 |
12 | 19 | 24.9726984305380 | -5.97269843053804 |
13 | 15 | 23.739845920769 | -8.73984592076898 |
14 | 16 | 20.3806508739218 | -4.3806508739218 |
15 | 23 | 19.5964838842114 | 3.40351611578855 |
16 | 27 | 20.9152696152143 | 6.08473038478574 |
17 | 22 | 22.6087522219857 | -0.608752221985684 |
18 | 14 | 20.6708507234106 | -6.67085072341062 |
19 | 22 | 22.5632209330617 | -0.563220933061682 |
20 | 23 | 24.6486622003077 | -1.64866220030769 |
21 | 23 | 22.7445970824742 | 0.255402917525836 |
22 | 21 | 25.074706910285 | -4.07470691028499 |
23 | 19 | 22.6545331796709 | -3.65453317967086 |
24 | 18 | 24.6143264820438 | -6.61432648204381 |
25 | 20 | 21.1195362434693 | -1.11953624346933 |
26 | 23 | 21.0630590526464 | 1.93694094735361 |
27 | 25 | 22.1936534139073 | 2.80634658609267 |
28 | 19 | 22.6087522219857 | -3.60875222198568 |
29 | 24 | 22.9895153118002 | 1.01048468819985 |
30 | 22 | 21.0513641444639 | 0.948635855536083 |
31 | 25 | 23.3585834934322 | 1.64141650656784 |
32 | 26 | 21.7050652990612 | 4.29493470093878 |
33 | 29 | 23.7505421539067 | 5.24945784609326 |
34 | 32 | 24.4670363821340 | 7.53296361786596 |
35 | 25 | 21.0856998627278 | 3.9143001372722 |
36 | 29 | 24.2559545335496 | 4.74404546645042 |
37 | 28 | 26.4273290220293 | 1.57267097797066 |
38 | 17 | 17.0100105876533 | -0.0100105876533363 |
39 | 28 | 25.7571150890096 | 2.24288491099043 |
40 | 29 | 23.0345472632018 | 5.96545273679819 |
41 | 26 | 23.8756907812575 | 2.12430921874254 |
42 | 25 | 22.9895153118002 | 2.01048468819985 |
43 | 14 | 21.0968954333879 | -7.09689543338792 |
44 | 25 | 21.0399189050426 | 3.96008109495738 |
45 | 26 | 21.8584216130169 | 4.14157838698314 |
46 | 20 | 19.2383616044784 | 0.761638395521609 |
47 | 18 | 20.4488229729272 | -2.44882297292722 |
48 | 32 | 25.3529621828302 | 6.64703781716984 |
49 | 25 | 25.2852894213471 | -0.285289421347099 |
50 | 25 | 21.5567765241067 | 3.44322347589325 |
51 | 23 | 21.9484855158202 | 1.05151448417984 |
52 | 21 | 21.4550177131210 | -0.455017713120977 |
53 | 20 | 21.8584216130169 | -1.85842161301686 |
54 | 15 | 19.8182619659337 | -4.81826196593367 |
55 | 30 | 25.7581137640543 | 4.24188623594573 |
56 | 24 | 23.0686333127045 | 0.931366687295486 |
57 | 26 | 22.6199477926458 | 3.3800522073542 |
58 | 24 | 21.4094864241970 | 2.59051357580303 |
59 | 22 | 19.8409027760151 | 2.15909722398491 |
60 | 14 | 17.7832316754647 | -3.78323167546475 |
61 | 24 | 21.0856998627278 | 2.9143001372722 |
62 | 24 | 22.2162942239887 | 1.78370577601126 |
63 | 24 | 20.749968724315 | 3.25003127568502 |
64 | 24 | 20.0339738336100 | 3.96602616638996 |
65 | 19 | 18.0164549966083 | 0.983545003391731 |
66 | 31 | 24.8928314233502 | 6.10716857664984 |
67 | 22 | 26.7630601604422 | -4.76306016044216 |
68 | 27 | 21.8357808029354 | 5.16421919706455 |
69 | 19 | 16.5727703070159 | 2.42722969298408 |
70 | 25 | 21.5002993332838 | 3.49970066671620 |
71 | 20 | 25.6093256515774 | -5.60932565157745 |
72 | 21 | 21.8243355635142 | -0.824335563514153 |
73 | 27 | 26.0356200303159 | 0.964379969684079 |
74 | 23 | 23.5290137409457 | -0.529013740945694 |
75 | 25 | 24.4782319527942 | 0.521768047205845 |
76 | 20 | 23.0007108824603 | -3.00071088246027 |
77 | 21 | 17.7377003865407 | 3.26229961345925 |
78 | 22 | 21.5343853827865 | 0.465614617213489 |
79 | 23 | 20.7614139637363 | 2.23858603626373 |
80 | 25 | 24.523513572957 | 0.476486427043018 |
81 | 25 | 21.5911122423706 | 3.40888775762937 |
82 | 17 | 22.5293845523201 | -5.52938455232015 |
83 | 19 | 21.5229401433652 | -2.52294014336522 |
84 | 25 | 22.5975566513256 | 2.40244334867443 |
85 | 19 | 21.5338860452642 | -2.53388604526416 |
86 | 20 | 21.869617183677 | -1.86961718367698 |
87 | 26 | 22.2048489845674 | 3.79515101543255 |
88 | 23 | 18.5221170450123 | 4.47788295498772 |
89 | 27 | 24.2569532085943 | 2.74304679140572 |
90 | 17 | 21.4662132837811 | -4.46621328378109 |
91 | 17 | 22.7105110329715 | -5.71051103297146 |
92 | 19 | 19.8185116346949 | -0.81851163469485 |
93 | 17 | 19.9429112557620 | -2.94291125576204 |
94 | 22 | 22.5970573138032 | -0.597057313803214 |
95 | 21 | 21.8586712817780 | -0.858671281778036 |
96 | 32 | 26.0925965586612 | 5.90740344133878 |
97 | 21 | 23.909527161999 | -2.90952716199899 |
98 | 21 | 24.2567035398331 | -3.25670353983310 |
99 | 18 | 21.8243355635142 | -3.82433556351415 |
100 | 18 | 22.6199477926458 | -4.6199477926458 |
101 | 23 | 23.0236013613029 | -0.0236013613028622 |
102 | 19 | 21.0060825243011 | -2.00608252430109 |
103 | 20 | 22.2394343715925 | -2.23943437159251 |
104 | 21 | 21.8360304716966 | -0.836030471696623 |
105 | 20 | 21.5911122423706 | -1.59111224237063 |
106 | 17 | 22.2954122248931 | -5.2954122248931 |
107 | 18 | 22.9439840228762 | -4.94398402287615 |
108 | 19 | 23.7624867308504 | -4.76248673085039 |
109 | 22 | 22.3640836614209 | -0.364083661420868 |
110 | 15 | 19.2607527457986 | -4.26075274579863 |
111 | 14 | 19.8978793043604 | -5.89787930436039 |
112 | 18 | 25.6665518486839 | -7.66655184868392 |
113 | 24 | 22.9897649805613 | 1.01023501943867 |
114 | 35 | 24.8709396195523 | 10.1290603804477 |
115 | 29 | 19.1368524622538 | 9.8631475377462 |
116 | 21 | 21.0172780949612 | -0.0172780949612091 |
117 | 25 | 22.9101476421346 | 2.08985235786538 |
118 | 20 | 20.3351195849978 | -0.335119584997802 |
119 | 22 | 22.3411931825783 | -0.341193182578279 |
120 | 13 | 21.4545183755986 | -8.45451837559863 |
121 | 26 | 24.8813861839289 | 1.11861381607114 |
122 | 17 | 19.2042755549757 | -2.20427555497568 |
123 | 25 | 21.2217943919775 | 3.77820560802254 |
124 | 20 | 20.6479602445680 | -0.647960244568033 |
125 | 19 | 17.8849904864505 | 1.11500951354948 |
126 | 21 | 21.5002993332838 | -0.500299333283803 |
127 | 22 | 20.6250697657254 | 1.37493023427456 |
128 | 24 | 21.5002993332838 | 2.49970066671620 |
129 | 21 | 21.1083406728092 | -0.108340672809213 |
130 | 26 | 25.3758526616728 | 0.624147338327247 |
131 | 24 | 22.2961612311766 | 1.70383876882337 |
132 | 16 | 20.6934915334920 | -4.69349153349203 |
133 | 23 | 21.0399189050426 | 1.96008109495738 |
134 | 18 | 21.0058328555399 | -3.00583285553992 |
135 | 16 | 22.2391847028313 | -6.23918470283133 |
136 | 26 | 23.0915237915471 | 2.9084762084529 |
137 | 19 | 19.9996381153462 | -0.999638115346158 |
138 | 21 | 20.3920961133431 | 0.607903886656902 |
139 | 21 | 21.4438221424609 | -0.443822142460858 |
140 | 22 | 21.6028071505531 | 0.397192849446898 |
141 | 23 | 24.2450086316506 | -1.24500863165063 |
142 | 29 | 24.9726984305380 | 4.02730156946196 |
143 | 21 | 22.0863277263980 | -1.08632772639805 |
144 | 21 | 20.4142375859022 | 0.585762414097839 |
145 | 23 | 21.1991535818960 | 1.80084641810396 |
146 | 27 | 23.1136652641062 | 3.88633473589383 |
147 | 25 | 26.4163831201304 | -1.41638312013039 |
148 | 21 | 22.2050986533286 | -1.20509865332862 |
149 | 10 | 20.7049367729133 | -10.7049367729133 |
150 | 20 | 23.3590828309545 | -3.35908283095451 |
151 | 26 | 22.9442336916373 | 3.05576630836267 |
152 | 24 | 22.7557926531343 | 1.24420734686572 |
153 | 29 | 28.342589710523 | 0.657410289477015 |
154 | 19 | 22.9551795935363 | -3.95517959353627 |
155 | 24 | 21.5575255303903 | 2.44247446960973 |
156 | 19 | 21.0513641444639 | -2.05136414446392 |
157 | 24 | 23.4720372126004 | 0.527962787399602 |
158 | 22 | 21.5684714322892 | 0.431528567710781 |
159 | 17 | 23.9896438379481 | -6.98964383794805 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
7 | 0.424069508813318 | 0.848139017626636 | 0.575930491186682 |
8 | 0.308069590692805 | 0.61613918138561 | 0.691930409307195 |
9 | 0.188102622113152 | 0.376205244226305 | 0.811897377886848 |
10 | 0.107395084813335 | 0.21479016962667 | 0.892604915186665 |
11 | 0.125378615563952 | 0.250757231127903 | 0.874621384436048 |
12 | 0.205873748311742 | 0.411747496623483 | 0.794126251688258 |
13 | 0.703630806595517 | 0.592738386808966 | 0.296369193404483 |
14 | 0.747480884927987 | 0.505038230144025 | 0.252519115072013 |
15 | 0.685461636905196 | 0.629076726189609 | 0.314538363094804 |
16 | 0.625349313441963 | 0.749301373116074 | 0.374650686558037 |
17 | 0.54401674659295 | 0.9119665068141 | 0.45598325340705 |
18 | 0.821134401995371 | 0.357731196009258 | 0.178865598004629 |
19 | 0.769348277971074 | 0.461303444057853 | 0.230651722028927 |
20 | 0.742614931389853 | 0.514770137220294 | 0.257385068610147 |
21 | 0.704803810144013 | 0.590392379711973 | 0.295196189855987 |
22 | 0.653588358191672 | 0.692823283616656 | 0.346411641808328 |
23 | 0.602652744057837 | 0.794694511884326 | 0.397347255942163 |
24 | 0.631622934154607 | 0.736754131690787 | 0.368377065845393 |
25 | 0.572325403291603 | 0.855349193416793 | 0.427674596708397 |
26 | 0.517238663246799 | 0.965522673506403 | 0.482761336753201 |
27 | 0.477125685867837 | 0.954251371735674 | 0.522874314132163 |
28 | 0.456587043324632 | 0.913174086649264 | 0.543412956675368 |
29 | 0.410767272414993 | 0.821534544829986 | 0.589232727585007 |
30 | 0.353055178025407 | 0.706110356050814 | 0.646944821974593 |
31 | 0.311083175269629 | 0.622166350539257 | 0.688916824730371 |
32 | 0.474809864060373 | 0.949619728120745 | 0.525190135939627 |
33 | 0.569010769850264 | 0.861978460299473 | 0.430989230149736 |
34 | 0.737696754805493 | 0.524606490389013 | 0.262303245194507 |
35 | 0.72801083096519 | 0.543978338069619 | 0.271989169034809 |
36 | 0.76591269812486 | 0.468174603750281 | 0.234087301875140 |
37 | 0.727578130854861 | 0.544843738290278 | 0.272421869145139 |
38 | 0.68829248293675 | 0.6234150341265 | 0.31170751706325 |
39 | 0.67870305126001 | 0.642593897479979 | 0.321296948739989 |
40 | 0.728858930953957 | 0.542282138092087 | 0.271141069046043 |
41 | 0.702640986890983 | 0.594718026218034 | 0.297359013109017 |
42 | 0.6646722962701 | 0.6706554074598 | 0.3353277037299 |
43 | 0.791507827938292 | 0.416984344123416 | 0.208492172061708 |
44 | 0.777739653643486 | 0.444520692713027 | 0.222260346356514 |
45 | 0.776666221717857 | 0.446667556564286 | 0.223333778282143 |
46 | 0.737492246096005 | 0.525015507807991 | 0.262507753903995 |
47 | 0.708421651007161 | 0.583156697985678 | 0.291578348992839 |
48 | 0.764172442260706 | 0.471655115478587 | 0.235827557739294 |
49 | 0.72918806407741 | 0.541623871845181 | 0.270811935922591 |
50 | 0.713294523368543 | 0.573410953262913 | 0.286705476631457 |
51 | 0.677503229158655 | 0.64499354168269 | 0.322496770841345 |
52 | 0.635357443995837 | 0.729285112008326 | 0.364642556004163 |
53 | 0.606221871943002 | 0.787556256113996 | 0.393778128056998 |
54 | 0.68184904525782 | 0.636301909484361 | 0.318150954742181 |
55 | 0.725451612491016 | 0.549096775017968 | 0.274548387508984 |
56 | 0.685759015266584 | 0.628481969466833 | 0.314240984733416 |
57 | 0.671399547403525 | 0.65720090519295 | 0.328600452596475 |
58 | 0.64327987025811 | 0.713440259483781 | 0.356720129741890 |
59 | 0.610039092801256 | 0.779921814397487 | 0.389960907198744 |
60 | 0.601575381383612 | 0.796849237232775 | 0.398424618616388 |
61 | 0.581400582677464 | 0.837198834645071 | 0.418599417322536 |
62 | 0.543941628125072 | 0.912116743749857 | 0.456058371874928 |
63 | 0.53120774008577 | 0.93758451982846 | 0.46879225991423 |
64 | 0.541862698150225 | 0.91627460369955 | 0.458137301849775 |
65 | 0.498596282073717 | 0.997192564147434 | 0.501403717926283 |
66 | 0.564246542975059 | 0.871506914049881 | 0.435753457024941 |
67 | 0.626175082448175 | 0.747649835103649 | 0.373824917551825 |
68 | 0.663287171513496 | 0.673425656973008 | 0.336712828486504 |
69 | 0.639148279220678 | 0.721703441558645 | 0.360851720779322 |
70 | 0.633918038177971 | 0.732163923644057 | 0.366081961822029 |
71 | 0.703655980737834 | 0.592688038524333 | 0.296344019262166 |
72 | 0.667976513236278 | 0.664046973527443 | 0.332023486763722 |
73 | 0.629370987828687 | 0.741258024342627 | 0.370629012171313 |
74 | 0.585752446844604 | 0.828495106310792 | 0.414247553155396 |
75 | 0.546787483372415 | 0.90642503325517 | 0.453212516627585 |
76 | 0.533553349445452 | 0.932893301109095 | 0.466446650554548 |
77 | 0.525291309327731 | 0.949417381344538 | 0.474708690672269 |
78 | 0.480874683892416 | 0.961749367784833 | 0.519125316107584 |
79 | 0.45419292496664 | 0.90838584993328 | 0.54580707503336 |
80 | 0.414194456013572 | 0.828388912027144 | 0.585805543986428 |
81 | 0.409387092722121 | 0.818774185444242 | 0.590612907277879 |
82 | 0.465708317369663 | 0.931416634739326 | 0.534291682630337 |
83 | 0.441941235708254 | 0.883882471416508 | 0.558058764291746 |
84 | 0.41723657187385 | 0.8344731437477 | 0.58276342812615 |
85 | 0.396685286478233 | 0.793370572956466 | 0.603314713521767 |
86 | 0.364579028732814 | 0.729158057465628 | 0.635420971267186 |
87 | 0.377959820833922 | 0.755919641667845 | 0.622040179166078 |
88 | 0.4104775587816 | 0.8209551175632 | 0.5895224412184 |
89 | 0.38946831186415 | 0.7789366237283 | 0.61053168813585 |
90 | 0.405457524936549 | 0.810915049873097 | 0.594542475063451 |
91 | 0.460388382310146 | 0.920776764620293 | 0.539611617689854 |
92 | 0.418936041686251 | 0.837872083372502 | 0.581063958313749 |
93 | 0.398012397585423 | 0.796024795170846 | 0.601987602414577 |
94 | 0.35629009080971 | 0.71258018161942 | 0.64370990919029 |
95 | 0.315310625776684 | 0.630621251553369 | 0.684689374223316 |
96 | 0.381079365171529 | 0.762158730343059 | 0.61892063482847 |
97 | 0.359842474344666 | 0.719684948689333 | 0.640157525655334 |
98 | 0.34753056848786 | 0.69506113697572 | 0.65246943151214 |
99 | 0.34223567936202 | 0.68447135872404 | 0.65776432063798 |
100 | 0.356899538425401 | 0.713799076850803 | 0.643100461574599 |
101 | 0.313633726684461 | 0.627267453368922 | 0.686366273315539 |
102 | 0.280817284184814 | 0.561634568369628 | 0.719182715815186 |
103 | 0.252749444419388 | 0.505498888838775 | 0.747250555580612 |
104 | 0.216770774343925 | 0.433541548687849 | 0.783229225656075 |
105 | 0.187410191708177 | 0.374820383416354 | 0.812589808291823 |
106 | 0.210050311151338 | 0.420100622302676 | 0.789949688848662 |
107 | 0.226955464683005 | 0.45391092936601 | 0.773044535316995 |
108 | 0.245478275651018 | 0.490956551302035 | 0.754521724348982 |
109 | 0.208370174403684 | 0.416740348807367 | 0.791629825596316 |
110 | 0.209509538915398 | 0.419019077830796 | 0.790490461084602 |
111 | 0.254257997920659 | 0.508515995841318 | 0.745742002079341 |
112 | 0.408075901513757 | 0.816151803027514 | 0.591924098486243 |
113 | 0.361170388604549 | 0.722340777209097 | 0.638829611395451 |
114 | 0.656468077750697 | 0.687063844498606 | 0.343531922249303 |
115 | 0.92317512825355 | 0.153649743492900 | 0.0768248717464501 |
116 | 0.904168081875677 | 0.191663836248646 | 0.0958319181243228 |
117 | 0.904684551587235 | 0.190630896825529 | 0.0953154484127646 |
118 | 0.879821220321148 | 0.240357559357703 | 0.120178779678852 |
119 | 0.850229793596483 | 0.299540412807034 | 0.149770206403517 |
120 | 0.951917954099575 | 0.096164091800849 | 0.0480820459004245 |
121 | 0.936432246534011 | 0.127135506931977 | 0.0635677534659887 |
122 | 0.920911073749128 | 0.158177852501744 | 0.079088926250872 |
123 | 0.926073217286187 | 0.147853565427626 | 0.0739267827138132 |
124 | 0.904006912661264 | 0.191986174677472 | 0.095993087338736 |
125 | 0.877487073845235 | 0.245025852309531 | 0.122512926154765 |
126 | 0.844102009329085 | 0.31179598134183 | 0.155897990670915 |
127 | 0.823801843132555 | 0.352396313734891 | 0.176198156867445 |
128 | 0.816031972101873 | 0.367936055796253 | 0.183968027898127 |
129 | 0.777814006718002 | 0.444371986563996 | 0.222185993281998 |
130 | 0.728789977354098 | 0.542420045291804 | 0.271210022645902 |
131 | 0.707582507275934 | 0.584834985448132 | 0.292417492724066 |
132 | 0.693420082521465 | 0.61315983495707 | 0.306579917478535 |
133 | 0.680523204243621 | 0.638953591512757 | 0.319476795756379 |
134 | 0.629485303626913 | 0.741029392746173 | 0.370514696373087 |
135 | 0.700238481187976 | 0.599523037624048 | 0.299761518812024 |
136 | 0.681336284146713 | 0.637327431706574 | 0.318663715853287 |
137 | 0.618222980239844 | 0.763554039520312 | 0.381777019760156 |
138 | 0.556667661999525 | 0.88666467600095 | 0.443332338000475 |
139 | 0.49526943539885 | 0.9905388707977 | 0.50473056460115 |
140 | 0.432997050361784 | 0.865994100723568 | 0.567002949638216 |
141 | 0.372685355885016 | 0.745370711770032 | 0.627314644114984 |
142 | 0.391660926433086 | 0.783321852866171 | 0.608339073566914 |
143 | 0.339283564236610 | 0.678567128473221 | 0.66071643576339 |
144 | 0.266181845820085 | 0.53236369164017 | 0.733818154179915 |
145 | 0.250405749275854 | 0.500811498551707 | 0.749594250724146 |
146 | 0.218318000396481 | 0.436636000792962 | 0.781681999603519 |
147 | 0.155233567263026 | 0.310467134526052 | 0.844766432736974 |
148 | 0.102904499345556 | 0.205808998691112 | 0.897095500654444 |
149 | 0.441085776212402 | 0.882171552424805 | 0.558914223787598 |
150 | 0.385138090128551 | 0.770276180257102 | 0.614861909871449 |
151 | 0.354215477072619 | 0.708430954145239 | 0.64578452292738 |
152 | 0.243976176395308 | 0.487952352790616 | 0.756023823604692 |
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 | 1 | 0.00684931506849315 | OK |