| Multiple Linear Regression - Estimated Regression Equation |
| Perceived_happiness[t] = + 16.7653226652419 -0.0589756016812406Concern_over_mistakes[t] -0.366095504550008Doubts_about_actions[t] + 0.119754749652656Parental_expectations[t] + 0.0379382299071181Parental_criticism[t] + 0.0817201066571233Personal_standards[t] -0.0714427177666822Organization[t] + 0.00639294723885901t + 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) | 16.7653226652419 | 2.59331 | 6.4648 | 0 | 0 |
| Concern_over_mistakes | -0.0589756016812406 | 0.055125 | -1.0699 | 0.288258 | 0.144129 |
| Doubts_about_actions | -0.366095504550008 | 0.1125 | -3.2542 | 0.001734 | 0.000867 |
| Parental_expectations | 0.119754749652656 | 0.101328 | 1.1819 | 0.241152 | 0.120576 |
| Parental_criticism | 0.0379382299071181 | 0.132266 | 0.2868 | 0.775064 | 0.387532 |
| Personal_standards | 0.0817201066571233 | 0.073945 | 1.1051 | 0.272778 | 0.136389 |
| Organization | -0.0714427177666822 | 0.079607 | -0.8974 | 0.372474 | 0.186237 |
| t | 0.00639294723885901 | 0.011177 | 0.572 | 0.569114 | 0.284557 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.481497231972275 |
| R-squared | 0.231839584396963 |
| Adjusted R-squared | 0.15715732176889 |
| F-TEST (value) | 3.10434601521854 |
| F-TEST (DF numerator) | 7 |
| F-TEST (DF denominator) | 72 |
| p-value | 0.00642993924968027 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 2.27587675343079 |
| Sum Squared Residuals | 372.932279770080 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 10 | 12.1072970113327 | -2.10729701133274 |
| 2 | 14 | 12.8182772122584 | 1.18172278774156 |
| 3 | 18 | 16.5902150899761 | 1.40978491002391 |
| 4 | 15 | 12.7467404229701 | 2.25325957702994 |
| 5 | 18 | 15.0258943086595 | 2.97410569134051 |
| 6 | 11 | 13.6277438126798 | -2.62774381267975 |
| 7 | 17 | 13.6955961048577 | 3.30440389514226 |
| 8 | 19 | 13.9596942213739 | 5.04030577862614 |
| 9 | 7 | 11.4238969148150 | -4.42389691481496 |
| 10 | 12 | 13.5520500094662 | -1.5520500094662 |
| 11 | 13 | 12.6898467411583 | 0.310153258841718 |
| 12 | 15 | 13.2417953272696 | 1.75820467273036 |
| 13 | 14 | 13.9139744585187 | 0.0860255414812899 |
| 14 | 14 | 13.1370513175207 | 0.862948682479257 |
| 15 | 16 | 13.8781630462391 | 2.12183695376092 |
| 16 | 16 | 16.8496415293823 | -0.84964152938227 |
| 17 | 12 | 14.1288803992074 | -2.12888039920742 |
| 18 | 12 | 14.9745746193584 | -2.97457461935839 |
| 19 | 13 | 15.1631280662567 | -2.16312806625667 |
| 20 | 16 | 12.8434602650542 | 3.15653973494585 |
| 21 | 9 | 11.8538124389711 | -2.85381243897111 |
| 22 | 11 | 13.0131946436147 | -2.01319464361466 |
| 23 | 14 | 15.3426893291031 | -1.34268932910311 |
| 24 | 11 | 14.1217188374520 | -3.12171883745195 |
| 25 | 17 | 14.5668025394325 | 2.43319746056753 |
| 26 | 14 | 15.0599852890637 | -1.05998528906375 |
| 27 | 15 | 15.5604678777469 | -0.560467877746906 |
| 28 | 11 | 11.0173724187696 | -0.0173724187695717 |
| 29 | 15 | 12.9993180514868 | 2.00068194851316 |
| 30 | 14 | 11.7771503554230 | 2.22284964457704 |
| 31 | 11 | 14.0104061694124 | -3.01040616941241 |
| 32 | 12 | 13.5316860698589 | -1.53168606985886 |
| 33 | 9 | 14.2831564235748 | -5.28315642357475 |
| 34 | 16 | 15.1908254036044 | 0.809174596395574 |
| 35 | 13 | 14.1312023397121 | -1.13120233971209 |
| 36 | 15 | 13.1868309604337 | 1.81316903956631 |
| 37 | 10 | 12.1361701068428 | -2.13617010684281 |
| 38 | 13 | 13.3705827047226 | -0.370582704722631 |
| 39 | 16 | 13.5487493991967 | 2.45125060080331 |
| 40 | 15 | 15.1287354421369 | -0.12873544213691 |
| 41 | 13 | 12.3648328787988 | 0.635167121201249 |
| 42 | 16 | 14.0507726216883 | 1.94922737831173 |
| 43 | 15 | 14.5573260606746 | 0.44267393932543 |
| 44 | 16 | 12.5908369456385 | 3.40916305436151 |
| 45 | 15 | 14.7092762020592 | 0.290723797940766 |
| 46 | 13 | 14.1910540157211 | -1.19105401572111 |
| 47 | 11 | 13.8898546494730 | -2.88985464947297 |
| 48 | 17 | 14.2379659839611 | 2.76203401603890 |
| 49 | 10 | 12.9987597509198 | -2.99875975091978 |
| 50 | 17 | 14.0319875441588 | 2.96801245584117 |
| 51 | 14 | 12.99313195843 | 1.00686804157001 |
| 52 | 15 | 13.7689361456849 | 1.23106385431514 |
| 53 | 16 | 14.5267188092766 | 1.47328119072336 |
| 54 | 12 | 13.5801358105917 | -1.58013581059172 |
| 55 | 11 | 13.3265608938328 | -2.32656089383280 |
| 56 | 16 | 15.6388873741345 | 0.361112625865480 |
| 57 | 9 | 11.4194025490300 | -2.41940254902998 |
| 58 | 15 | 13.971995930274 | 1.028004069726 |
| 59 | 15 | 13.9525844201434 | 1.0474155798566 |
| 60 | 13 | 13.1917825235704 | -0.191782523570402 |
| 61 | 15 | 14.5898127796805 | 0.410187220319455 |
| 62 | 15 | 13.5614426892126 | 1.43855731078741 |
| 63 | 18 | 15.4978394674212 | 2.50216053257877 |
| 64 | 16 | 11.9519432493193 | 4.04805675068069 |
| 65 | 12 | 12.4057315724223 | -0.405731572422276 |
| 66 | 15 | 14.7348477462876 | 0.265152253712442 |
| 67 | 13 | 16.5683557984367 | -3.56835579843668 |
| 68 | 13 | 15.0756693226037 | -2.07566932260374 |
| 69 | 13 | 12.8276913530023 | 0.172308646997713 |
| 70 | 14 | 13.0185051225712 | 0.981494877428774 |
| 71 | 15 | 14.3152958796993 | 0.684704120300686 |
| 72 | 11 | 13.5822926187289 | -2.58229261872895 |
| 73 | 14 | 14.4377215445217 | -0.437721544521706 |
| 74 | 17 | 14.8575202355102 | 2.14247976448983 |
| 75 | 13 | 14.5697258355525 | -1.56972583555245 |
| 76 | 12 | 14.4361380697922 | -2.43613806979218 |
| 77 | 13 | 13.8573303710775 | -0.857330371077534 |
| 78 | 16 | 14.0754052908862 | 1.92459470911382 |
| 79 | 13 | 14.6988431298621 | -1.69884312986214 |
| 80 | 19 | 15.7463071764372 | 3.25369282356277 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 11 | 0.8424468290657 | 0.315106341868601 | 0.157553170934300 |
| 12 | 0.742465171043833 | 0.515069657912335 | 0.257534828956167 |
| 13 | 0.706464672725847 | 0.587070654548307 | 0.293535327274153 |
| 14 | 0.735777045845958 | 0.528445908308084 | 0.264222954154042 |
| 15 | 0.662702672318301 | 0.674594655363398 | 0.337297327681699 |
| 16 | 0.632661152967825 | 0.73467769406435 | 0.367338847032175 |
| 17 | 0.793715041400866 | 0.412569917198268 | 0.206284958599134 |
| 18 | 0.890056351672361 | 0.219887296655278 | 0.109943648327639 |
| 19 | 0.85186707372725 | 0.296265852545499 | 0.148132926272750 |
| 20 | 0.8641877126267 | 0.271624574746601 | 0.135812287373300 |
| 21 | 0.871665424269246 | 0.256669151461508 | 0.128334575730754 |
| 22 | 0.848151602004423 | 0.303696795991154 | 0.151848397995577 |
| 23 | 0.797559776988695 | 0.404880446022611 | 0.202440223011305 |
| 24 | 0.779704353697678 | 0.440591292604644 | 0.220295646302322 |
| 25 | 0.852987204581466 | 0.294025590837068 | 0.147012795418534 |
| 26 | 0.826290877434244 | 0.347418245131512 | 0.173709122565756 |
| 27 | 0.77411516089113 | 0.451769678217740 | 0.225884839108870 |
| 28 | 0.722496627180673 | 0.555006745638653 | 0.277503372819327 |
| 29 | 0.713416814493363 | 0.573166371013274 | 0.286583185506637 |
| 30 | 0.788297976531109 | 0.423404046937783 | 0.211702023468891 |
| 31 | 0.801476605386341 | 0.397046789227318 | 0.198523394613659 |
| 32 | 0.764073900690905 | 0.471852198618191 | 0.235926099309096 |
| 33 | 0.907227298671316 | 0.185545402657368 | 0.0927727013286838 |
| 34 | 0.885770523604786 | 0.228458952790427 | 0.114229476395214 |
| 35 | 0.853118939705676 | 0.293762120588649 | 0.146881060294324 |
| 36 | 0.877548581469129 | 0.244902837061742 | 0.122451418530871 |
| 37 | 0.866208706041958 | 0.267582587916084 | 0.133791293958042 |
| 38 | 0.82968316616274 | 0.340633667674521 | 0.170316833837260 |
| 39 | 0.87499903960511 | 0.250001920789779 | 0.125000960394889 |
| 40 | 0.836929712547122 | 0.326140574905756 | 0.163070287452878 |
| 41 | 0.801879191161078 | 0.396241617677844 | 0.198120808838922 |
| 42 | 0.780772450291723 | 0.438455099416555 | 0.219227549708277 |
| 43 | 0.727615080673267 | 0.544769838653467 | 0.272384919326733 |
| 44 | 0.794486716459848 | 0.411026567080304 | 0.205513283540152 |
| 45 | 0.741383161197596 | 0.517233677604809 | 0.258616838802404 |
| 46 | 0.691572226900252 | 0.616855546199496 | 0.308427773099748 |
| 47 | 0.729574906159835 | 0.54085018768033 | 0.270425093840165 |
| 48 | 0.781340202413624 | 0.437319595172751 | 0.218659797586376 |
| 49 | 0.850855534812199 | 0.298288930375602 | 0.149144465187801 |
| 50 | 0.873766115272288 | 0.252467769455425 | 0.126233884727712 |
| 51 | 0.876091968685934 | 0.247816062628133 | 0.123908031314066 |
| 52 | 0.859992705870454 | 0.280014588259092 | 0.140007294129546 |
| 53 | 0.822318934231846 | 0.355362131536307 | 0.177681065768154 |
| 54 | 0.784466974643488 | 0.431066050713025 | 0.215533025356512 |
| 55 | 0.773665126646148 | 0.452669746707704 | 0.226334873353852 |
| 56 | 0.706486370013119 | 0.587027259973761 | 0.293513629986881 |
| 57 | 0.77006764707458 | 0.459864705850838 | 0.229932352925419 |
| 58 | 0.707002065119564 | 0.585995869760872 | 0.292997934880436 |
| 59 | 0.640916094048006 | 0.718167811903987 | 0.359083905951994 |
| 60 | 0.551924186674918 | 0.896151626650164 | 0.448075813325082 |
| 61 | 0.461825400047161 | 0.923650800094322 | 0.538174599952839 |
| 62 | 0.383961373999046 | 0.767922747998091 | 0.616038626000954 |
| 63 | 0.526240262105409 | 0.947519475789183 | 0.473759737894591 |
| 64 | 0.697163177643091 | 0.605673644713818 | 0.302836822356909 |
| 65 | 0.590405565115348 | 0.819188869769304 | 0.409594434884652 |
| 66 | 0.542362206091998 | 0.915275587816004 | 0.457637793908002 |
| 67 | 0.459089311485635 | 0.91817862297127 | 0.540910688514365 |
| 68 | 0.457010761835037 | 0.914021523670074 | 0.542989238164963 |
| 69 | 0.650726425437646 | 0.698547149124708 | 0.349273574562354 |
| 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 |
