Multiple Linear Regression - Estimated Regression Equation |
StudyForCareer[t] = + 32.7983458450465 + 0.174337617831962PersonalStandards[t] + 0.0374239004797307ParentalExpectations[t] -0.228380669837428Doubts[t] + 1.37570543194539LeaderPreference[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) | 32.7983458450465 | 3.288189 | 9.9746 | 0 | 0 |
PersonalStandards | 0.174337617831962 | 0.105063 | 1.6594 | 0.099315 | 0.049657 |
ParentalExpectations | 0.0374239004797307 | 0.131469 | 0.2847 | 0.776332 | 0.388166 |
Doubts | -0.228380669837428 | 0.156687 | -1.4576 | 0.147233 | 0.073616 |
LeaderPreference | 1.37570543194539 | 0.491287 | 2.8002 | 0.00584 | 0.00292 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.365715483024238 |
R-squared | 0.133747814523651 |
Adjusted R-squared | 0.108639055524337 |
F-TEST (value) | 5.32673934730518 |
F-TEST (DF numerator) | 4 |
F-TEST (DF denominator) | 138 |
p-value | 0.000509654484215694 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 5.01878586322461 |
Sum Squared Residuals | 3475.97319264464 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 41 | 39.7898350653408 | 1.2101649346592 |
2 | 38 | 41.1655404972862 | -3.16554049728619 |
3 | 37 | 40.0820908898147 | -3.08209088981469 |
4 | 36 | 35.8647434569859 | 0.135256543014120 |
5 | 42 | 39.9864383399012 | 2.01356166009877 |
6 | 44 | 39.4504185095567 | 4.54958149044325 |
7 | 40 | 38.1831475120915 | 1.8168524879085 |
8 | 43 | 41.1281165968065 | 1.87188340319354 |
9 | 40 | 40.2104083200285 | -0.210408320028492 |
10 | 45 | 39.6996039283482 | 5.30039607165183 |
11 | 47 | 41.0194570700444 | 5.98054292995559 |
12 | 45 | 44.1729238288631 | 0.827076171136855 |
13 | 45 | 42.3820665551509 | 2.61793344484911 |
14 | 40 | 41.028626779934 | -1.02862677993396 |
15 | 49 | 38.5915123049636 | 10.4084876950364 |
16 | 48 | 43.9781297925464 | 4.0218702074536 |
17 | 44 | 40.4093879537735 | 3.59061204622651 |
18 | 29 | 40.7126164245704 | -11.7126164245704 |
19 | 42 | 39.8534851276954 | 2.14651487230465 |
20 | 44 | 41.5861137519739 | 2.41388624802611 |
21 | 35 | 38.6689615573896 | -3.66896155738957 |
22 | 32 | 42.0096367885973 | -10.0096367885973 |
23 | 32 | 42.0096367885973 | -10.0096367885973 |
24 | 41 | 43.4779497167199 | -2.47794971671986 |
25 | 29 | 36.4171573465742 | -7.41715734657419 |
26 | 38 | 39.9532000368498 | -1.95320003684976 |
27 | 41 | 40.3559183245192 | 0.644081675480845 |
28 | 38 | 40.24364662308 | -2.24364662307996 |
29 | 24 | 37.9211802087334 | -13.9211802087334 |
30 | 34 | 37.0643020328556 | -3.06430203285562 |
31 | 38 | 36.0925507040722 | 1.90744929592782 |
32 | 37 | 37.8715478464381 | -0.871547846438091 |
33 | 46 | 41.6819913941693 | 4.31800860583074 |
34 | 48 | 44.0318245140827 | 3.96817548591735 |
35 | 42 | 40.8664976239176 | 1.13350237608243 |
36 | 46 | 40.8248881260096 | 5.17511187399043 |
37 | 43 | 40.141555354741 | 2.85844464525902 |
38 | 38 | 40.5676798428308 | -2.56767984283085 |
39 | 39 | 40.9243779428821 | -1.92437794288208 |
40 | 34 | 40.3102464673702 | -6.31024646737021 |
41 | 39 | 39.7498097133946 | -0.749809713394591 |
42 | 35 | 36.5044387016311 | -1.50443870163113 |
43 | 41 | 40.0636625000453 | 0.936337499954736 |
44 | 40 | 38.5730839151942 | 1.4269160848058 |
45 | 43 | 39.3265117690531 | 3.67348823094688 |
46 | 37 | 37.2932561254442 | -0.293256125444175 |
47 | 41 | 40.4099613765246 | 0.590038623475379 |
48 | 46 | 40.9992257438415 | 5.00077425615846 |
49 | 26 | 38.1085248034139 | -12.1085248034140 |
50 | 41 | 38.4572000390779 | 2.54279996092212 |
51 | 37 | 39.0422788089665 | -2.04227880896653 |
52 | 39 | 41.2403882982457 | -2.24038829824566 |
53 | 44 | 42.8941067623238 | 1.10589323767623 |
54 | 39 | 36.0471039392051 | 2.95289606079485 |
55 | 36 | 40.9457561145872 | -4.9457561145872 |
56 | 38 | 37.5504644086229 | 0.449535591377098 |
57 | 38 | 36.9991910627266 | 1.00080893727341 |
58 | 38 | 39.4504185095567 | -1.45041850955675 |
59 | 32 | 41.5302614617247 | -9.53026146172473 |
60 | 33 | 38.2662432697202 | -5.26624326972018 |
61 | 46 | 39.9446037497113 | 6.05539625028867 |
62 | 42 | 40.8789311780150 | 1.12106882198496 |
63 | 42 | 36.2674617446553 | 5.73253825534473 |
64 | 43 | 40.0482791640121 | 2.95172083598791 |
65 | 41 | 35.0512840172598 | 5.9487159827402 |
66 | 49 | 40.1854179736462 | 8.81458202635376 |
67 | 45 | 39.4241923476819 | 5.57580765231807 |
68 | 39 | 40.6879744086573 | -1.68797440865734 |
69 | 45 | 42.1631696574752 | 2.83683034252476 |
70 | 31 | 38.2912336161024 | -7.29123361610243 |
71 | 30 | 38.2912336161024 | -8.29123361610243 |
72 | 45 | 41.0072486082288 | 3.99275139177116 |
73 | 48 | 42.3707455783587 | 5.62925442164133 |
74 | 28 | 38.1679892683402 | -10.1679892683402 |
75 | 35 | 37.5670835601486 | -2.56708356014864 |
76 | 38 | 40.5884845917848 | -2.58848459178484 |
77 | 39 | 40.3847459378605 | -1.38474593786045 |
78 | 40 | 40.2023854556412 | -0.202385455641188 |
79 | 38 | 38.8321014366166 | -0.832101436616619 |
80 | 42 | 38.3547604402697 | 3.64523955973032 |
81 | 36 | 35.3084923004385 | 0.691507699561477 |
82 | 49 | 43.6617711067136 | 5.33822889328639 |
83 | 41 | 40.5590835556924 | 0.440916444307584 |
84 | 18 | 35.9728295609968 | -17.9728295609968 |
85 | 36 | 38.0833093647498 | -2.08330936474978 |
86 | 42 | 38.7227795171131 | 3.27722048288688 |
87 | 41 | 42.5786698297113 | -1.57866982971132 |
88 | 43 | 39.936580885324 | 3.06341911467597 |
89 | 46 | 39.6695404995143 | 6.3304595004857 |
90 | 37 | 40.7212127117088 | -3.72121271170881 |
91 | 38 | 39.0882989965847 | -1.08829899658469 |
92 | 43 | 40.6134749381671 | 2.38652506183290 |
93 | 41 | 42.8070504995487 | -1.80705049954875 |
94 | 35 | 34.5939492548338 | 0.406050745166188 |
95 | 42 | 39.429962091072 | 2.57003790892803 |
96 | 36 | 39.6873954665326 | -3.68739546653261 |
97 | 35 | 41.083905647432 | -6.083905647432 |
98 | 33 | 36.2680351674064 | -3.2680351674064 |
99 | 36 | 38.1249188626578 | -2.12491886265777 |
100 | 48 | 39.3639356695329 | 8.63606433046715 |
101 | 41 | 39.9532000368498 | 1.04679996315024 |
102 | 47 | 38.2873963491434 | 8.71260365085661 |
103 | 41 | 39.0384415420075 | 1.96155845799251 |
104 | 31 | 42.1467755982314 | -11.1467755982314 |
105 | 36 | 41.115683042709 | -5.11568304270899 |
106 | 46 | 41.2403882982457 | 4.75961170175434 |
107 | 39 | 38.0599031643293 | 0.94009683567069 |
108 | 44 | 40.6965706957958 | 3.30342930420422 |
109 | 43 | 37.0144445782784 | 5.98555542172159 |
110 | 32 | 41.0654772576626 | -9.06547725766257 |
111 | 40 | 40.4694258414509 | -0.469425841450911 |
112 | 40 | 39.1091037455387 | 0.890896254461311 |
113 | 46 | 37.1035351715790 | 8.89646482842096 |
114 | 45 | 39.2085935624112 | 5.79140643758881 |
115 | 39 | 40.6837888112291 | -1.68378881122908 |
116 | 44 | 41.6469438528741 | 2.35305614712591 |
117 | 35 | 39.7414385185381 | -4.74143851853807 |
118 | 38 | 37.7138293801319 | 0.286170619868135 |
119 | 38 | 36.4503956496257 | 1.54960435037434 |
120 | 36 | 37.3399387058038 | -1.33993870580377 |
121 | 42 | 38.0544817514085 | 3.94551824859152 |
122 | 39 | 39.7704912241613 | -0.770491224161283 |
123 | 41 | 42.8899211648955 | -1.88992116489551 |
124 | 41 | 39.3595249798227 | 1.64047502017732 |
125 | 47 | 38.7105710552976 | 8.28942894470244 |
126 | 39 | 38.6105078156739 | 0.38949218432607 |
127 | 40 | 39.4717966812619 | 0.528203318738132 |
128 | 44 | 40.2109817427796 | 3.78901825722038 |
129 | 42 | 39.5008493868851 | 2.49915061311492 |
130 | 35 | 38.4988095369859 | -3.49880953698587 |
131 | 46 | 42.5534543910472 | 3.44654560895285 |
132 | 43 | 37.6265480250749 | 5.37345197492507 |
133 | 40 | 40.0396828768737 | -0.0396828768736622 |
134 | 44 | 39.9654084986653 | 4.03459150133467 |
135 | 37 | 40.4595937388199 | -3.45959373881991 |
136 | 46 | 40.6671696597033 | 5.33283034029665 |
137 | 39 | 37.1685508699075 | 1.83144913009249 |
138 | 40 | 38.241027831056 | 1.75897216894399 |
139 | 37 | 38.942788992094 | -1.94278899209403 |
140 | 29 | 39.5006242946032 | -10.5006242946032 |
141 | 33 | 37.8703120309455 | -4.87031203094553 |
142 | 35 | 39.9490144394215 | -4.94901443942151 |
143 | 42 | 35.6867936644768 | 6.31320633552321 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
8 | 0.20569609932454 | 0.41139219864908 | 0.79430390067546 |
9 | 0.121640829292750 | 0.243281658585499 | 0.87835917070725 |
10 | 0.0667930002726221 | 0.133586000545244 | 0.933206999727378 |
11 | 0.0315447589391750 | 0.0630895178783501 | 0.968455241060825 |
12 | 0.0140102291448438 | 0.0280204582896875 | 0.985989770855156 |
13 | 0.00666216294255826 | 0.0133243258851165 | 0.993337837057442 |
14 | 0.00274139446716000 | 0.00548278893431999 | 0.99725860553284 |
15 | 0.0282107566452222 | 0.0564215132904445 | 0.971789243354778 |
16 | 0.0164977695155477 | 0.0329955390310953 | 0.983502230484452 |
17 | 0.00929135592084342 | 0.0185827118416868 | 0.990708644079157 |
18 | 0.255029770747557 | 0.510059541495113 | 0.744970229252443 |
19 | 0.278828170611487 | 0.557656341222975 | 0.721171829388513 |
20 | 0.217753951803760 | 0.435507903607521 | 0.78224604819624 |
21 | 0.170123790053772 | 0.340247580107545 | 0.829876209946228 |
22 | 0.52561464929379 | 0.94877070141242 | 0.47438535070621 |
23 | 0.729309336976603 | 0.541381326046793 | 0.270690663023397 |
24 | 0.673896907161858 | 0.652206185676284 | 0.326103092838142 |
25 | 0.761537961007974 | 0.476924077984052 | 0.238462038992026 |
26 | 0.708695561715563 | 0.582608876568874 | 0.291304438284437 |
27 | 0.660889420097674 | 0.678221159804651 | 0.339110579902326 |
28 | 0.601799677375223 | 0.796400645249553 | 0.398200322624777 |
29 | 0.895904988991119 | 0.208190022017762 | 0.104095011008881 |
30 | 0.869155530786472 | 0.261688938427056 | 0.130844469213528 |
31 | 0.850674639716314 | 0.298650720567372 | 0.149325360283686 |
32 | 0.813825565929754 | 0.372348868140492 | 0.186174434070246 |
33 | 0.814062555500532 | 0.371874888998937 | 0.185937444499468 |
34 | 0.805657362013399 | 0.388685275973202 | 0.194342637986601 |
35 | 0.764467626767877 | 0.471064746464246 | 0.235532373232123 |
36 | 0.768894389486124 | 0.462211221027752 | 0.231105610513876 |
37 | 0.728718561739882 | 0.542562876520237 | 0.271281438260118 |
38 | 0.689363355375915 | 0.621273289248169 | 0.310636644624085 |
39 | 0.64259651631462 | 0.714806967370761 | 0.357403483685380 |
40 | 0.679662891142391 | 0.640674217715218 | 0.320337108857609 |
41 | 0.630371266955897 | 0.739257466088207 | 0.369628733044103 |
42 | 0.580634608629585 | 0.83873078274083 | 0.419365391370415 |
43 | 0.536729761436859 | 0.926540477126281 | 0.463270238563141 |
44 | 0.491473320181855 | 0.98294664036371 | 0.508526679818145 |
45 | 0.466138507571625 | 0.93227701514325 | 0.533861492428375 |
46 | 0.416530548675527 | 0.833061097351055 | 0.583469451324473 |
47 | 0.365828802528282 | 0.731657605056563 | 0.634171197471718 |
48 | 0.367590480334007 | 0.735180960668014 | 0.632409519665993 |
49 | 0.579874753862139 | 0.840250492275722 | 0.420125246137861 |
50 | 0.55199407413055 | 0.8960118517389 | 0.44800592586945 |
51 | 0.505639385431425 | 0.98872122913715 | 0.494360614568575 |
52 | 0.462437073860794 | 0.924874147721588 | 0.537562926139206 |
53 | 0.413451318607395 | 0.82690263721479 | 0.586548681392605 |
54 | 0.392043890261153 | 0.784087780522307 | 0.607956109738847 |
55 | 0.38287293675074 | 0.76574587350148 | 0.61712706324926 |
56 | 0.342576496534445 | 0.685152993068891 | 0.657423503465555 |
57 | 0.311299065281302 | 0.622598130562603 | 0.688700934718699 |
58 | 0.271965930946886 | 0.543931861893773 | 0.728034069053114 |
59 | 0.397711514000532 | 0.795423028001064 | 0.602288485999468 |
60 | 0.395841210041014 | 0.791682420082028 | 0.604158789958986 |
61 | 0.41843261307624 | 0.83686522615248 | 0.58156738692376 |
62 | 0.373279229301257 | 0.746558458602514 | 0.626720770698743 |
63 | 0.391408543366494 | 0.782817086732989 | 0.608591456633505 |
64 | 0.358589442388606 | 0.717178884777212 | 0.641410557611394 |
65 | 0.377184234458326 | 0.754368468916651 | 0.622815765541674 |
66 | 0.476321001923766 | 0.952642003847532 | 0.523678998076234 |
67 | 0.483164945521744 | 0.966329891043489 | 0.516835054478256 |
68 | 0.440045115752154 | 0.880090231504308 | 0.559954884247846 |
69 | 0.405740365092623 | 0.811480730185246 | 0.594259634907377 |
70 | 0.455607419728473 | 0.911214839456946 | 0.544392580271527 |
71 | 0.539727499138264 | 0.920545001723472 | 0.460272500861736 |
72 | 0.521890081334246 | 0.956219837331508 | 0.478109918665754 |
73 | 0.541138864164847 | 0.917722271670305 | 0.458861135835152 |
74 | 0.679312005831201 | 0.641375988337598 | 0.320687994168799 |
75 | 0.645487115982475 | 0.70902576803505 | 0.354512884017525 |
76 | 0.612842503973591 | 0.774314992052817 | 0.387157496026409 |
77 | 0.568015199186862 | 0.863969601626276 | 0.431984800813138 |
78 | 0.519647641360737 | 0.960704717278525 | 0.480352358639263 |
79 | 0.472466225739499 | 0.944932451478999 | 0.5275337742605 |
80 | 0.457677151253960 | 0.915354302507921 | 0.54232284874604 |
81 | 0.413450601522614 | 0.826901203045229 | 0.586549398477386 |
82 | 0.458661791211851 | 0.917323582423702 | 0.541338208788149 |
83 | 0.414041658624579 | 0.828083317249158 | 0.585958341375421 |
84 | 0.930635691846233 | 0.138728616307533 | 0.0693643081537666 |
85 | 0.917335345062322 | 0.165329309875356 | 0.082664654937678 |
86 | 0.905401764285274 | 0.189196471429452 | 0.094598235714726 |
87 | 0.883129043462344 | 0.233741913075312 | 0.116870956537656 |
88 | 0.868569734383122 | 0.262860531233756 | 0.131430265616878 |
89 | 0.884077803622432 | 0.231844392755137 | 0.115922196377568 |
90 | 0.86776292255654 | 0.264474154886920 | 0.132237077443460 |
91 | 0.8407516617468 | 0.3184966765064 | 0.1592483382532 |
92 | 0.813904180960628 | 0.372191638078743 | 0.186095819039372 |
93 | 0.779055215458174 | 0.441889569083652 | 0.220944784541826 |
94 | 0.743405520337671 | 0.513188959324657 | 0.256594479662329 |
95 | 0.707398879989082 | 0.585202240021835 | 0.292601120010918 |
96 | 0.683341483023322 | 0.633317033953356 | 0.316658516976678 |
97 | 0.700470876382504 | 0.599058247234992 | 0.299529123617496 |
98 | 0.749065865712429 | 0.501868268575142 | 0.250934134287571 |
99 | 0.73891213522459 | 0.522175729550819 | 0.261087864775410 |
100 | 0.815781267916886 | 0.368437464166229 | 0.184218732083114 |
101 | 0.779092881564418 | 0.441814236871164 | 0.220907118435582 |
102 | 0.798635349294715 | 0.40272930141057 | 0.201364650705285 |
103 | 0.759389836035727 | 0.481220327928547 | 0.240610163964273 |
104 | 0.858074406410861 | 0.283851187178278 | 0.141925593589139 |
105 | 0.866354437301629 | 0.267291125396743 | 0.133645562698371 |
106 | 0.86132432240618 | 0.277351355187641 | 0.138675677593821 |
107 | 0.826664525282621 | 0.346670949434757 | 0.173335474717379 |
108 | 0.80412091294143 | 0.391758174117141 | 0.195879087058571 |
109 | 0.809099423949612 | 0.381801152100776 | 0.190900576050388 |
110 | 0.877813362222292 | 0.244373275555416 | 0.122186637777708 |
111 | 0.843361091697746 | 0.313277816604508 | 0.156638908302254 |
112 | 0.802783162349905 | 0.394433675300190 | 0.197216837650095 |
113 | 0.87027131815881 | 0.25945736368238 | 0.12972868184119 |
114 | 0.874397180394518 | 0.251205639210964 | 0.125602819605482 |
115 | 0.83956674356422 | 0.320866512871559 | 0.160433256435779 |
116 | 0.81407857242034 | 0.371842855159319 | 0.185921427579660 |
117 | 0.817689589976894 | 0.364620820046212 | 0.182310410023106 |
118 | 0.767501088111567 | 0.464997823776866 | 0.232498911888433 |
119 | 0.709916842589217 | 0.580166314821566 | 0.290083157410783 |
120 | 0.658858473597584 | 0.682283052804832 | 0.341141526402416 |
121 | 0.610528433904082 | 0.778943132191836 | 0.389471566095918 |
122 | 0.538384177099891 | 0.923231645800219 | 0.461615822900109 |
123 | 0.464775958233355 | 0.92955191646671 | 0.535224041766645 |
124 | 0.387960876193185 | 0.77592175238637 | 0.612039123806815 |
125 | 0.508857154275379 | 0.982285691449243 | 0.491142845724621 |
126 | 0.426067426507824 | 0.852134853015648 | 0.573932573492176 |
127 | 0.342122922162054 | 0.684245844324109 | 0.657877077837945 |
128 | 0.332515011331952 | 0.665030022663904 | 0.667484988668048 |
129 | 0.263159256719035 | 0.526318513438069 | 0.736840743280965 |
130 | 0.197952883415036 | 0.395905766830071 | 0.802047116584964 |
131 | 0.327804315889824 | 0.655608631779648 | 0.672195684110176 |
132 | 0.249597574529497 | 0.499195149058994 | 0.750402425470503 |
133 | 0.223368800209415 | 0.446737600418831 | 0.776631199790584 |
134 | 0.194484117829710 | 0.388968235659420 | 0.80551588217029 |
135 | 0.119511060150797 | 0.239022120301595 | 0.880488939849203 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 1 | 0.0078125 | OK |
5% type I error level | 5 | 0.0390625 | OK |
10% type I error level | 7 | 0.0546875 | OK |