Multiple Linear Regression - Estimated Regression Equation |
Talk[t] = + 34.200144640016 + 5.72914103472968Hands[t] -3.20162175385841`Anxiety `[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) | 34.200144640016 | 10.558605 | 3.2391 | 0.001489 | 0.000745 |
Hands | 5.72914103472968 | 1.783814 | 3.2117 | 0.001628 | 0.000814 |
`Anxiety ` | -3.20162175385841 | 1.206926 | -2.6527 | 0.008881 | 0.00444 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.336414700021497 |
R-squared | 0.113174850390554 |
Adjusted R-squared | 0.100857834423756 |
F-TEST (value) | 9.18849587397072 |
F-TEST (DF numerator) | 2 |
F-TEST (DF denominator) | 144 |
p-value | 0.000175523819369916 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 22.6677401037284 |
Sum Squared Residuals | 73991.0075630657 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 10 | 50.0393627982308 | -40.0393627982308 |
2 | 20 | 39.2551832017585 | -19.2551832017585 |
3 | 40 | 52.566882079102 | -12.5668820791020 |
4 | 67 | 52.566882079102 | 14.4331179208980 |
5 | 38 | 56.4426063059476 | -18.4426063059476 |
6 | 61 | 56.4426063059476 | 4.55739369405244 |
7 | 29 | 55.7685038329604 | -26.7685038329604 |
8 | 0 | 40.4344975366555 | -40.4344975366555 |
9 | 30 | 49.3652603252436 | -19.3652603252436 |
10 | 39 | 50.0393627982307 | -11.0393627982307 |
11 | 70 | 65.3733690945356 | 4.62663090546436 |
12 | 65 | 50.0393627982307 | 14.9606372017693 |
13 | 5 | 59.644228059806 | -54.644228059806 |
14 | 30 | 41.1086000096427 | -11.1086000096427 |
15 | 50 | 58.2960231138317 | -8.2960231138317 |
16 | 90 | 46.8377410443723 | 43.1622589556277 |
17 | 45 | 44.3102217635011 | 0.689778236498927 |
18 | 75 | 58.9701255868188 | 16.0298744131812 |
19 | 76 | 52.566882079102 | 23.433117920898 |
20 | 15 | 46.8377410443724 | -31.8377410443723 |
21 | 10 | 46.8377410443723 | -36.8377410443723 |
22 | 0 | 50.0393627982307 | -50.0393627982307 |
23 | 60 | 55.7685038329604 | 4.23149616703957 |
24 | 67 | 56.4426063059476 | 10.5573936940524 |
25 | 60 | 65.3733690945356 | -5.37336909453564 |
26 | 70 | 62.1717473406772 | 7.82825265932276 |
27 | 70 | 53.2409845520892 | 16.7590154479108 |
28 | 87 | 58.9701255868188 | 28.0298744131812 |
29 | 27 | 62.1717473406772 | -35.1717473406772 |
30 | 65 | 56.4426063059476 | 8.55739369405244 |
31 | 56 | 43.6361192905139 | 12.3638807094861 |
32 | 82 | 52.566882079102 | 29.433117920898 |
33 | 30 | 53.2409845520892 | -23.2409845520892 |
34 | 38 | 52.566882079102 | -14.5668820791020 |
35 | 56 | 52.566882079102 | 3.43311792089798 |
36 | 70 | 62.1717473406772 | 7.82825265932276 |
37 | 80 | 55.7685038329604 | 24.2314961670396 |
38 | 71 | 58.9701255868188 | 12.0298744131812 |
39 | 50 | 59.644228059806 | -9.64422805980597 |
40 | 31 | 56.4426063059476 | -25.4426063059476 |
41 | 40 | 52.566882079102 | -12.5668820791020 |
42 | 71 | 62.1717473406772 | 8.82825265932276 |
43 | 71 | 56.4426063059476 | 14.5573936940524 |
44 | 10 | 46.8377410443723 | -36.8377410443723 |
45 | 20 | 46.8377410443723 | -26.8377410443723 |
46 | 40 | 62.1717473406772 | -22.1717473406772 |
47 | 55 | 39.2551832017585 | 15.7448167982415 |
48 | 80 | 64.6992666215485 | 15.3007333784515 |
49 | 80 | 59.644228059806 | 20.3557719401940 |
50 | 72 | 67.9008883754069 | 4.09911162459309 |
51 | 60 | 62.1717473406772 | -2.17174734067724 |
52 | 29 | 55.7685038329604 | -26.7685038329604 |
53 | 70 | 56.4426063059476 | 13.5573936940524 |
54 | 60 | 41.1086000096427 | 18.8913999903573 |
55 | 63 | 62.1717473406772 | 0.828252659322764 |
56 | 70 | 67.9008883754069 | 2.09911162459309 |
57 | 38 | 56.4426063059476 | -18.4426063059476 |
58 | 40 | 52.566882079102 | -12.5668820791020 |
59 | 80 | 62.1717473406772 | 17.8282526593228 |
60 | 24 | 46.8377410443723 | -22.8377410443723 |
61 | 40 | 50.0393627982307 | -10.0393627982307 |
62 | 47 | 65.3733690945356 | -18.3733690945356 |
63 | 70 | 59.644228059806 | 10.3557719401940 |
64 | 70 | 56.4426063059476 | 13.5573936940524 |
65 | 75 | 29.6503179401833 | 45.3496820598167 |
66 | 60 | 46.8377410443723 | 13.1622589556277 |
67 | 65 | 53.2409845520892 | 11.7590154479108 |
68 | 91 | 56.4426063059476 | 34.5573936940524 |
69 | 68 | 46.8377410443723 | 21.1622589556277 |
70 | 80 | 62.1717473406772 | 17.8282526593228 |
71 | 90 | 41.1086000096427 | 48.8913999903573 |
72 | 20 | 56.4426063059476 | -36.4426063059476 |
73 | 61 | 58.9701255868188 | 2.02987441318117 |
74 | 13 | 32.1778372210546 | -19.1778372210546 |
75 | 80 | 58.9701255868188 | 21.0298744131812 |
76 | 40 | 50.0393627982307 | -10.0393627982307 |
77 | 70 | 56.4426063059476 | 13.5573936940524 |
78 | 39 | 58.9701255868188 | -19.9701255868188 |
79 | 93 | 52.566882079102 | 40.433117920898 |
80 | 10 | 52.566882079102 | -42.566882079102 |
81 | 25 | 58.9701255868188 | -33.9701255868188 |
82 | 61 | 56.4426063059476 | 4.55739369405244 |
83 | 18 | 35.379458974913 | -17.379458974913 |
84 | 60 | 62.1717473406772 | -2.17174734067724 |
85 | 74 | 58.9701255868188 | 15.0298744131812 |
86 | 35 | 59.644228059806 | -24.6442280598060 |
87 | 0 | 46.8377410443723 | -46.8377410443723 |
88 | 71 | 56.4426063059476 | 14.5573936940524 |
89 | 100 | 65.3733690945356 | 34.6266309054644 |
90 | 64 | 52.566882079102 | 11.4331179208980 |
91 | 50 | 62.1717473406772 | -12.1717473406772 |
92 | 40 | 56.4426063059476 | -16.4426063059476 |
93 | 35 | 44.3102217635011 | -9.31022176350107 |
94 | 60 | 50.0393627982307 | 9.96063720176925 |
95 | 70 | 67.9008883754069 | 2.09911162459309 |
96 | 55 | 38.5810807287714 | 16.4189192712286 |
97 | 65 | 62.1717473406772 | 2.82825265932276 |
98 | 30 | 62.1717473406772 | -32.1717473406772 |
99 | 25 | 42.4568049556169 | -17.4568049556169 |
100 | 80 | 61.4976448676901 | 18.5023551323099 |
101 | 26 | 43.6361192905139 | -17.6361192905139 |
102 | 78 | 55.7685038329604 | 22.2314961670396 |
103 | 10 | 40.4344975366555 | -30.4344975366555 |
104 | 70 | 53.9150870250763 | 16.0849129749237 |
105 | 0 | 44.9843242364882 | -44.9843242364882 |
106 | 65 | 65.3733690945356 | -0.373369094535645 |
107 | 80 | 62.1717473406772 | 17.8282526593228 |
108 | 60 | 59.644228059806 | 0.355771940194033 |
109 | 67 | 52.566882079102 | 14.4331179208980 |
110 | 49 | 58.9701255868188 | -9.97012558681883 |
111 | 70 | 56.4426063059476 | 13.5573936940524 |
112 | 66 | 58.9701255868188 | 7.02987441318117 |
113 | 65 | 47.5118435173595 | 17.4881564826405 |
114 | 65 | 52.566882079102 | 12.4331179208980 |
115 | 40 | 65.3733690945356 | -25.3733690945356 |
116 | 40 | 56.4426063059476 | -16.4426063059476 |
117 | 20 | 67.9008883754069 | -47.9008883754069 |
118 | 90 | 52.566882079102 | 37.433117920898 |
119 | 48 | 62.1717473406772 | -14.1717473406772 |
120 | 25 | 65.3733690945356 | -40.3733690945356 |
121 | 35 | 56.4426063059476 | -21.4426063059476 |
122 | 40 | 52.566882079102 | -12.5668820791020 |
123 | 77 | 56.4426063059476 | 20.5573936940524 |
124 | 70 | 35.379458974913 | 34.620541025087 |
125 | 82 | 59.644228059806 | 22.3557719401940 |
126 | 80 | 56.4426063059476 | 23.5573936940524 |
127 | 52 | 35.379458974913 | 16.620541025087 |
128 | 71 | 50.0393627982308 | 20.9606372017692 |
129 | 70 | 56.4426063059476 | 13.5573936940524 |
130 | 50 | 52.566882079102 | -2.56688207910202 |
131 | 72 | 52.566882079102 | 19.433117920898 |
132 | 80 | 58.9701255868188 | 21.0298744131812 |
133 | 91 | 65.3733690945356 | 25.6266309054644 |
134 | 18 | 39.2551832017585 | -21.2551832017585 |
135 | 70 | 47.5118435173595 | 22.4881564826405 |
136 | 76 | 53.9150870250763 | 22.0849129749237 |
137 | 65 | 62.1717473406772 | 2.82825265932276 |
138 | 35 | 62.1717473406772 | -27.1717473406772 |
139 | 62 | 62.1717473406772 | -0.171747340677236 |
140 | 76 | 62.1717473406772 | 13.8282526593228 |
141 | 50 | 52.566882079102 | -2.56688207910202 |
142 | 68 | 55.7685038329604 | 12.2314961670396 |
143 | 80 | 56.4426063059476 | 23.5573936940524 |
144 | 90 | 61.4976448676901 | 28.5023551323099 |
145 | 79 | 46.8377410443723 | 32.1622589556277 |
146 | 30 | 41.1086000096427 | -11.1086000096427 |
147 | 60 | 46.8377410443723 | 13.1622589556277 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
6 | 0.62626081955159 | 0.747478360896819 | 0.373739180448409 |
7 | 0.558201534815135 | 0.88359693036973 | 0.441798465184865 |
8 | 0.464512249249046 | 0.929024498498092 | 0.535487750750954 |
9 | 0.339925016025662 | 0.679850032051324 | 0.660074983974338 |
10 | 0.242884093358746 | 0.485768186717493 | 0.757115906641254 |
11 | 0.159533952950602 | 0.319067905901205 | 0.840466047049398 |
12 | 0.256954712948185 | 0.51390942589637 | 0.743045287051815 |
13 | 0.617275243618171 | 0.765449512763657 | 0.382724756381829 |
14 | 0.545409358832404 | 0.909181282335192 | 0.454590641167596 |
15 | 0.457670295962503 | 0.915340591925006 | 0.542329704037497 |
16 | 0.81001057652429 | 0.379978846951421 | 0.189989423475710 |
17 | 0.768246089928463 | 0.463507820143073 | 0.231753910071537 |
18 | 0.767704621695244 | 0.464590756609512 | 0.232295378304756 |
19 | 0.786530802858973 | 0.426938394282055 | 0.213469197141027 |
20 | 0.793259663348507 | 0.413480673302986 | 0.206740336651493 |
21 | 0.817179955606889 | 0.365640088786223 | 0.182820044393111 |
22 | 0.893448614021584 | 0.213102771956833 | 0.106551385978416 |
23 | 0.866566607793897 | 0.266866784412205 | 0.133433392206103 |
24 | 0.853631591253781 | 0.292736817492438 | 0.146368408746219 |
25 | 0.81401860069273 | 0.371962798614538 | 0.185981399307269 |
26 | 0.778045918775494 | 0.443908162449012 | 0.221954081224506 |
27 | 0.781276168992587 | 0.437447662014825 | 0.218723831007413 |
28 | 0.807412093291475 | 0.38517581341705 | 0.192587906708525 |
29 | 0.852432243024425 | 0.295135513951151 | 0.147567756975575 |
30 | 0.829469431027383 | 0.341061137945234 | 0.170530568972617 |
31 | 0.821795911223965 | 0.356408177552070 | 0.178204088776035 |
32 | 0.850343987566976 | 0.299312024866048 | 0.149656012433024 |
33 | 0.837439383579813 | 0.325121232840375 | 0.162560616420187 |
34 | 0.812465405326418 | 0.375069189347163 | 0.187534594673582 |
35 | 0.774385522346359 | 0.451228955307282 | 0.225614477653641 |
36 | 0.737023788552955 | 0.52595242289409 | 0.262976211447045 |
37 | 0.744899410165122 | 0.510201179669756 | 0.255100589834878 |
38 | 0.71180169565614 | 0.576396608687719 | 0.288198304343859 |
39 | 0.667263022197964 | 0.665473955604073 | 0.332736977802036 |
40 | 0.66010507879753 | 0.67978984240494 | 0.33989492120247 |
41 | 0.624204519945568 | 0.751590960108863 | 0.375795480054432 |
42 | 0.580644186627951 | 0.838711626744098 | 0.419355813372049 |
43 | 0.56590503471797 | 0.86818993056406 | 0.43409496528203 |
44 | 0.61729176853751 | 0.76541646292498 | 0.38270823146249 |
45 | 0.61575836540858 | 0.76848326918284 | 0.38424163459142 |
46 | 0.616580754663692 | 0.766838490672615 | 0.383419245336308 |
47 | 0.658652148915474 | 0.682695702169053 | 0.341347851084526 |
48 | 0.628940161830054 | 0.742119676339892 | 0.371059838169946 |
49 | 0.625003731441061 | 0.749992537117878 | 0.374996268558939 |
50 | 0.576624592878214 | 0.846750814243572 | 0.423375407121786 |
51 | 0.527229773526389 | 0.945540452947222 | 0.472770226473611 |
52 | 0.542124598067477 | 0.915750803865046 | 0.457875401932523 |
53 | 0.515504947255514 | 0.968990105488973 | 0.484495052744486 |
54 | 0.52931317279249 | 0.94137365441502 | 0.47068682720751 |
55 | 0.479739989741036 | 0.959479979482072 | 0.520260010258964 |
56 | 0.430693964955552 | 0.861387929911103 | 0.569306035044449 |
57 | 0.410462589770664 | 0.820925179541329 | 0.589537410229336 |
58 | 0.376381228060864 | 0.752762456121728 | 0.623618771939136 |
59 | 0.358767561080039 | 0.717535122160077 | 0.641232438919961 |
60 | 0.353071583866205 | 0.70614316773241 | 0.646928416133795 |
61 | 0.316505885935383 | 0.633011771870766 | 0.683494114064617 |
62 | 0.304917223436945 | 0.60983444687389 | 0.695082776563055 |
63 | 0.273941520520899 | 0.547883041041798 | 0.726058479479101 |
64 | 0.251852852570749 | 0.503705705141497 | 0.748147147429251 |
65 | 0.417199649753728 | 0.834399299507456 | 0.582800350246272 |
66 | 0.390365005854292 | 0.780730011708584 | 0.609634994145708 |
67 | 0.358164014284545 | 0.716328028569091 | 0.641835985715455 |
68 | 0.419098978858889 | 0.838197957717778 | 0.580901021141111 |
69 | 0.415295407545502 | 0.830590815091004 | 0.584704592454498 |
70 | 0.397298074484193 | 0.794596148968386 | 0.602701925515807 |
71 | 0.564543413064678 | 0.870913173870644 | 0.435456586935322 |
72 | 0.636441695927622 | 0.727116608144756 | 0.363558304072378 |
73 | 0.591461394858395 | 0.81707721028321 | 0.408538605141605 |
74 | 0.580196864580578 | 0.839606270838844 | 0.419803135419422 |
75 | 0.572621755859684 | 0.854756488280632 | 0.427378244140316 |
76 | 0.535542225253131 | 0.928915549493737 | 0.464457774746869 |
77 | 0.504141798908733 | 0.991716402182533 | 0.495858201091267 |
78 | 0.494047255482559 | 0.988094510965119 | 0.505952744517441 |
79 | 0.590839625429806 | 0.818320749140389 | 0.409160374570194 |
80 | 0.709264232595666 | 0.581471534808669 | 0.290735767404335 |
81 | 0.76303239215609 | 0.47393521568782 | 0.23696760784391 |
82 | 0.725524947217339 | 0.548950105565322 | 0.274475052782661 |
83 | 0.713548703702237 | 0.572902592595526 | 0.286451296297763 |
84 | 0.671625629808135 | 0.65674874038373 | 0.328374370191865 |
85 | 0.644429839736224 | 0.711140320527551 | 0.355570160263776 |
86 | 0.652078241124593 | 0.695843517750813 | 0.347921758875407 |
87 | 0.807683566593329 | 0.384632866813343 | 0.192316433406671 |
88 | 0.786382208035178 | 0.427235583929643 | 0.213617791964822 |
89 | 0.836360704473474 | 0.327278591053053 | 0.163639295526526 |
90 | 0.81017643107319 | 0.379647137853621 | 0.189823568926810 |
91 | 0.786058891386536 | 0.427882217226929 | 0.213941108613464 |
92 | 0.770146673756549 | 0.459706652486903 | 0.229853326243451 |
93 | 0.744377741357708 | 0.511244517284584 | 0.255622258642292 |
94 | 0.707772195522755 | 0.58445560895449 | 0.292227804477245 |
95 | 0.663206726970579 | 0.673586546058842 | 0.336793273029421 |
96 | 0.633418196101197 | 0.733163607797606 | 0.366581803898803 |
97 | 0.585068913176361 | 0.829862173647278 | 0.414931086823639 |
98 | 0.642128081303267 | 0.715743837393466 | 0.357871918696733 |
99 | 0.623078428400202 | 0.753843143199595 | 0.376921571599798 |
100 | 0.598105444768831 | 0.803789110462338 | 0.401894555231169 |
101 | 0.610585188649569 | 0.778829622700861 | 0.389414811350431 |
102 | 0.595347256735213 | 0.809305486529574 | 0.404652743264787 |
103 | 0.731303177515652 | 0.537393644968696 | 0.268696822484348 |
104 | 0.714863006284395 | 0.570273987431211 | 0.285136993715605 |
105 | 0.872266474089325 | 0.25546705182135 | 0.127733525910675 |
106 | 0.841950938050455 | 0.316098123899089 | 0.158049061949545 |
107 | 0.832595873676285 | 0.334808252647429 | 0.167404126323715 |
108 | 0.795413970963888 | 0.409172058072223 | 0.204586029036112 |
109 | 0.75978186488856 | 0.480436270222881 | 0.240218135111440 |
110 | 0.729513823666943 | 0.540972352666113 | 0.270486176333057 |
111 | 0.694938891963887 | 0.610122216072225 | 0.305061108036113 |
112 | 0.645176365591123 | 0.709647268817755 | 0.354823634408877 |
113 | 0.604984272822686 | 0.790031454354629 | 0.395015727177314 |
114 | 0.553030755113392 | 0.893938489773216 | 0.446969244886608 |
115 | 0.551515964016705 | 0.89696807196659 | 0.448484035983295 |
116 | 0.536153534436892 | 0.927692931126216 | 0.463846465563108 |
117 | 0.756703844549345 | 0.48659231090131 | 0.243296155450655 |
118 | 0.788068002867614 | 0.423863994264772 | 0.211931997132386 |
119 | 0.776136092580635 | 0.447727814838731 | 0.223863907419365 |
120 | 0.919801621629331 | 0.160396756741338 | 0.080198378370669 |
121 | 0.951364395770867 | 0.0972712084582663 | 0.0486356042291331 |
122 | 0.959932450164564 | 0.0801350996708724 | 0.0400675498354362 |
123 | 0.947502326400089 | 0.104995347199822 | 0.0524976735999109 |
124 | 0.962023339414332 | 0.0759533211713354 | 0.0379766605856677 |
125 | 0.952005603769173 | 0.0959887924616532 | 0.0479943962308266 |
126 | 0.942869292067369 | 0.114261415865262 | 0.0571307079326311 |
127 | 0.928411448104016 | 0.143177103791967 | 0.0715885518959837 |
128 | 0.911260193238157 | 0.177479613523686 | 0.088739806761843 |
129 | 0.876740741498404 | 0.246518517003192 | 0.123259258501596 |
130 | 0.856053294104574 | 0.287893411790852 | 0.143946705895426 |
131 | 0.808519048841897 | 0.382961902316207 | 0.191480951158103 |
132 | 0.75749459867745 | 0.4850108026451 | 0.24250540132255 |
133 | 0.730464381988872 | 0.539071236022255 | 0.269535618011128 |
134 | 0.771286241909231 | 0.457427516181538 | 0.228713758090769 |
135 | 0.712920232941342 | 0.574159534117316 | 0.287079767058658 |
136 | 0.701278626609414 | 0.597442746781172 | 0.298721373390586 |
137 | 0.595555018200887 | 0.808889963598226 | 0.404444981799113 |
138 | 0.810784136356572 | 0.378431727286856 | 0.189215863643428 |
139 | 0.796119130194666 | 0.407761739610668 | 0.203880869805334 |
140 | 0.709037650853336 | 0.581924698293329 | 0.290962349146664 |
141 | 0.688006732033195 | 0.62398653593361 | 0.311993267966805 |
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 | 4 | 0.0294117647058824 | OK |