Multiple Linear Regression - Estimated Regression Equation |
Gender[t] = + 1.14059725448889 -0.00831463730047959Q1[t] + 0.0574514258564551Q2[t] -0.0289323320190734Q3[t] + 0.05782147075238Q4[t] -0.0295178640144729Q5[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) | 1.14059725448889 | 0.310324 | 3.6755 | 0.000325 | 0.000162 |
Q1 | -0.00831463730047959 | 0.038158 | -0.2179 | 0.827788 | 0.413894 |
Q2 | 0.0574514258564551 | 0.035315 | 1.6268 | 0.105769 | 0.052885 |
Q3 | -0.0289323320190734 | 0.045134 | -0.641 | 0.522434 | 0.261217 |
Q4 | 0.05782147075238 | 0.045974 | 1.2577 | 0.210356 | 0.105178 |
Q5 | -0.0295178640144729 | 0.044053 | -0.6701 | 0.503799 | 0.2519 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.190860354474215 |
R-squared | 0.036427674910023 |
Adjusted R-squared | 0.00593487981223895 |
F-TEST (value) | 1.19463220059712 |
F-TEST (DF numerator) | 5 |
F-TEST (DF denominator) | 158 |
p-value | 0.314249346156635 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.486432577745064 |
Sum Squared Residuals | 37.3854311252898 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 1 | 1.48015369741256 | -0.480153697412556 |
2 | 1 | 1.38313757086294 | -0.383137570862941 |
3 | 1 | 1.28806913079101 | -0.288069130791008 |
4 | 1 | 1.32468737482939 | -0.324687374829394 |
5 | 1 | 1.48851152799881 | -0.488511527998806 |
6 | 1 | 1.28685487351444 | -0.286854873514442 |
7 | 1 | 1.25866263128722 | -0.258662631287219 |
8 | 1 | 1.37382416338537 | -0.37382416338537 |
9 | 1 | 1.30469840539197 | -0.304698405391967 |
10 | 1 | 1.25929135656838 | -0.259291356568385 |
11 | 1 | 1.48846833471304 | -0.488468334713039 |
12 | 1 | 1.33994783435734 | -0.339947834357338 |
13 | 1 | 1.41102793941916 | -0.411027939419156 |
14 | 1 | 1.38114003050876 | -0.381140030508758 |
15 | 1 | 1.14764778063631 | -0.147647780636311 |
16 | 1 | 1.39776930510972 | -0.397769305109718 |
17 | 1 | 1.51861492400868 | -0.518614924008678 |
18 | 1 | 1.51861492400868 | -0.518614924008678 |
19 | 1 | 1.18026665910201 | -0.180266659102011 |
20 | 1 | 1.30805810022844 | -0.308058100228435 |
21 | 1 | 1.41144117760085 | -0.411441177600848 |
22 | 1 | 1.55907369095898 | -0.559073690958979 |
23 | 1 | 1.38114003050876 | -0.381140030508758 |
24 | 1 | 1.4395902265423 | -0.439590226542305 |
25 | 1 | 1.3236886046523 | -0.323688604652303 |
26 | 1 | 1.46053477287106 | -0.460534772871057 |
27 | 1 | 1.4395902265423 | -0.439590226542305 |
28 | 1 | 1.26649585918109 | -0.26649585918109 |
29 | 1 | 1.31637273752891 | -0.316372737528915 |
30 | 1 | 1.30469840539197 | -0.304698405391967 |
31 | 1 | 1.33437082720289 | -0.33437082720289 |
32 | 1 | 1.37282539320828 | -0.372825393208279 |
33 | 1 | 1.48736486061599 | -0.487364860615994 |
34 | 1 | 1.34530506954799 | -0.345305069547988 |
35 | 1 | 1.35420523884387 | -0.354205238843867 |
36 | 1 | 1.46016472797513 | -0.460164727975132 |
37 | 1 | 1.30705933005134 | -0.307059330051344 |
38 | 1 | 1.39045343798633 | -0.390453437986329 |
39 | 1 | 1.46910809055678 | -0.469108090556778 |
40 | 1 | 1.36256306943011 | -0.362563069430114 |
41 | 1 | 1.35320646866678 | -0.353206468666776 |
42 | 1 | 1.28286645339681 | -0.282866453396807 |
43 | 1 | 1.26623717879585 | -0.266237178795848 |
44 | 1 | 1.4900958301713 | -0.490095830171296 |
45 | 1 | 1.43064686396066 | -0.430646863960659 |
46 | 1 | 1.3910821632675 | -0.391082163267495 |
47 | 1 | 1.33363073741104 | -0.33363073741104 |
48 | 1 | 1.40334202739984 | -0.403342027399843 |
49 | 1 | 1.43164563413775 | -0.43164563413775 |
50 | 1 | 1.49741169729468 | -0.497411697294685 |
51 | 1 | 1.43064686396066 | -0.430646863960659 |
52 | 1 | 1.27459500938209 | -0.274595009382095 |
53 | 1 | 1.2174704351358 | -0.217470435135798 |
54 | 1 | 1.35262093667138 | -0.352620936671377 |
55 | 1 | 1.48795039261139 | -0.487950392611394 |
56 | 1 | 1.40271330211868 | -0.402713302118677 |
57 | 1 | 1.40271330211868 | -0.402713302118677 |
58 | 1 | 1.33263196723395 | -0.332631967233949 |
59 | 1 | 1.38114003050876 | -0.381140030508758 |
60 | 1 | 1.4405889967194 | -0.440588996719396 |
61 | 1 | 1.41875704472424 | -0.418757044724236 |
62 | 1 | 1.3741942082813 | -0.374194208281295 |
63 | 1 | 1.43996027143823 | -0.43996027143823 |
64 | 1 | 1.44890363401988 | -0.448903634019875 |
65 | 1 | 1.3448918313663 | -0.344891831366297 |
66 | 1 | 1.32442869444415 | -0.324428694444153 |
67 | 1 | 1.43164563413775 | -0.43164563413775 |
68 | 1 | 1.49678297201352 | -0.496782972013519 |
69 | 1 | 1.43064686396066 | -0.430646863960659 |
70 | 1 | 1.41206990288201 | -0.412069902882014 |
71 | 1 | 1.30411287339657 | -0.304112873396567 |
72 | 1 | 1.43064686396066 | -0.430646863960659 |
73 | 1 | 1.265497089004 | -0.265497089003998 |
74 | 1 | 1.29516951081492 | -0.295169510814922 |
75 | 1 | 1.28286645339681 | -0.282866453396807 |
76 | 1 | 1.35386065121645 | -0.353860651216452 |
77 | 1 | 1.39045343798633 | -0.390453437986329 |
78 | 1 | 1.35420523884387 | -0.354205238843867 |
79 | 1 | 1.26790786753987 | -0.267907867539872 |
80 | 1 | 1.48015369741256 | -0.480153697412559 |
81 | 1 | 1.45185009067465 | -0.451850090674652 |
82 | 1 | 1.09451162650765 | -0.0945116265076492 |
83 | 1 | 1.33263196723395 | -0.332631967233949 |
84 | 1 | 1.31674278242484 | -0.31674278242484 |
85 | 1 | 1.38114003050876 | -0.381140030508758 |
86 | 1 | 1.41102793941916 | -0.411027939419156 |
87 | 1 | 1.13112987054604 | -0.131129870546036 |
88 | 1 | 1.4401757585377 | -0.440175758537704 |
89 | 1 | 1.291655258182 | -0.291655258182003 |
90 | 1 | 1.30742937494727 | -0.307429374947269 |
91 | 1 | 1.4199713020008 | -0.419971302000802 |
92 | 1 | 1.26623717879585 | -0.266237178795848 |
93 | 1 | 1.38151007540468 | -0.381510075404683 |
94 | 1 | 1.59705408947965 | -0.597054089479652 |
95 | 1 | 1.46490418333967 | -0.464904183339668 |
96 | 1 | 1.33163319705686 | -0.331633197056858 |
97 | 1 | 1.40271330211868 | -0.402713302118677 |
98 | 1 | 1.41202670959625 | -0.412026709596247 |
99 | 1 | 1.35420523884387 | -0.354205238843867 |
100 | 1 | 1.27496505427802 | -0.27496505427802 |
101 | 1 | 1.24603272225895 | -0.246032722258946 |
102 | 2 | 1.33300201212987 | 0.666997987870126 |
103 | 2 | 1.50967156142703 | 0.490328438572968 |
104 | 2 | 1.32331855975638 | 0.676681440243622 |
105 | 2 | 1.38151007540468 | 0.618489924595317 |
106 | 2 | 1.38250884558177 | 0.617491154418225 |
107 | 2 | 1.42233222666018 | 0.577667773339821 |
108 | 2 | 1.4555907758621 | 0.544409224137902 |
109 | 2 | 1.37146323872599 | 0.628536761274007 |
110 | 2 | 1.45957919597973 | 0.540420804020268 |
111 | 2 | 1.4395902265423 | 0.560409773457695 |
112 | 2 | 1.48909705999421 | 0.510902940005795 |
113 | 2 | 1.33404397559273 | 0.665956024407268 |
114 | 2 | 1.39023795088685 | 0.609762049113146 |
115 | 2 | 1.40334202739984 | 0.596657972600157 |
116 | 2 | 1.32527290682479 | 0.674727093175206 |
117 | 2 | 1.48015369741256 | 0.519846302587441 |
118 | 2 | 1.57643639476106 | 0.423563605238942 |
119 | 2 | 1.45226332885634 | 0.547736671143656 |
120 | 2 | 1.23893234223503 | 0.761067657764968 |
121 | 2 | 1.43896150126114 | 0.561038498738862 |
122 | 2 | 1.29081104580136 | 0.709188954198638 |
123 | 2 | 1.40271330211868 | 0.597286697881323 |
124 | 2 | 1.50173791447753 | 0.49826208552247 |
125 | 2 | 1.43896150126114 | 0.561038498738862 |
126 | 2 | 1.49031131727077 | 0.509688682729229 |
127 | 2 | 1.43127558924182 | 0.568724410758175 |
128 | 2 | 1.43164563413775 | 0.56835436586225 |
129 | 2 | 1.32405864954823 | 0.675941350451772 |
130 | 2 | 1.3731954381042 | 0.626804561895796 |
131 | 2 | 1.43996027143823 | 0.56003972856177 |
132 | 2 | 1.40234325722275 | 0.597656742777248 |
133 | 2 | 1.42233222666018 | 0.577667773339821 |
134 | 2 | 1.47909341660128 | 0.520906583398719 |
135 | 2 | 1.61426889607601 | 0.38573110392399 |
136 | 2 | 1.42770040730588 | 0.572299592694118 |
137 | 2 | 1.48078242269373 | 0.519217577306274 |
138 | 2 | 1.45321890574767 | 0.546781094252332 |
139 | 2 | 1.46116349815222 | 0.538836501847777 |
140 | 2 | 1.34493502465206 | 0.655064975347937 |
141 | 2 | 1.54691853074659 | 0.453081469253415 |
142 | 2 | 1.38372310285834 | 0.61627689714166 |
143 | 2 | 1.4405889967194 | 0.559411003280604 |
144 | 2 | 1.39145220816342 | 0.60854779183658 |
145 | 2 | 1.10182749363104 | 0.898172506368963 |
146 | 2 | 1.48972578527537 | 0.510274214724629 |
147 | 2 | 1.41044240742376 | 0.589557592576243 |
148 | 2 | 1.30411287339657 | 0.695887126603433 |
149 | 2 | 1.43164563413775 | 0.56835436586225 |
150 | 2 | 1.41934257671964 | 0.580657423280364 |
151 | 2 | 1.01670118631784 | 0.983298813682158 |
152 | 2 | 1.36152110596726 | 0.638478894032744 |
153 | 2 | 1.40175772522735 | 0.598242274772648 |
154 | 2 | 1.33994783435734 | 0.660052165642663 |
155 | 2 | 1.40271330211868 | 0.597286697881323 |
156 | 2 | 1.38250884558177 | 0.617491154418225 |
157 | 2 | 1.33237328684871 | 0.667626713151292 |
158 | 2 | 1.51067033160412 | 0.489329668395877 |
159 | 2 | 1.40275649540444 | 0.597243504595557 |
160 | 2 | 1.46952132873847 | 0.530478671261531 |
161 | 2 | 1.48846833471304 | 0.511531665286961 |
162 | 2 | 1.43164563413775 | 0.56835436586225 |
163 | 2 | 1.41107113270492 | 0.588928867295077 |
164 | 2 | 1.32531610011056 | 0.674683899889439 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
9 | 4.13123927445532e-49 | 8.26247854891065e-49 | 1 |
10 | 3.7567910305007e-65 | 7.5135820610014e-65 | 1 |
11 | 9.67719660874226e-84 | 1.93543932174845e-83 | 1 |
12 | 6.60645744956371e-94 | 1.32129148991274e-93 | 1 |
13 | 7.61659928897534e-124 | 1.52331985779507e-123 | 1 |
14 | 6.27481968750816e-124 | 1.25496393750163e-123 | 1 |
15 | 5.33133183252998e-139 | 1.066266366506e-138 | 1 |
16 | 0 | 0 | 1 |
17 | 1.25344257100657e-182 | 2.50688514201314e-182 | 1 |
18 | 5.61891852667195e-187 | 1.12378370533439e-186 | 1 |
19 | 3.16218734325829e-201 | 6.32437468651659e-201 | 1 |
20 | 6.05983960380972e-227 | 1.21196792076194e-226 | 1 |
21 | 2.72569567431628e-262 | 5.45139134863255e-262 | 1 |
22 | 8.67909415812148e-251 | 1.7358188316243e-250 | 1 |
23 | 3.97817348734552e-262 | 7.95634697469104e-262 | 1 |
24 | 6.43317333030521e-281 | 1.28663466606104e-280 | 1 |
25 | 3.92433557202785e-300 | 7.84867114405571e-300 | 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 | 0 | 0 | 1 |
87 | 0 | 0 | 1 |
88 | 0 | 0 | 1 |
89 | 0 | 0 | 1 |
90 | 0 | 0 | 1 |
91 | 0 | 0 | 1 |
92 | 0 | 0 | 1 |
93 | 0 | 0 | 1 |
94 | 0 | 0 | 1 |
95 | 0 | 0 | 1 |
96 | 0 | 0 | 1 |
97 | 0 | 0 | 1 |
98 | 0 | 0 | 1 |
99 | 0 | 0 | 1 |
100 | 0 | 0 | 1 |
101 | 0.000383178255791431 | 0.000766356511582862 | 0.999616821744209 |
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 | 0 | 0 |
131 | 1 | 0 | 0 |
132 | 1 | 0 | 0 |
133 | 1 | 0 | 0 |
134 | 1 | 0 | 0 |
135 | 1 | 0 | 0 |
136 | 1 | 0 | 0 |
137 | 1 | 9.88131291682493e-323 | 4.94065645841247e-323 |
138 | 1 | 0 | 0 |
139 | 1 | 2.08473907465332e-293 | 1.04236953732666e-293 |
140 | 1 | 5.15223859566959e-274 | 2.5761192978348e-274 |
141 | 1 | 9.8715859067122e-257 | 4.9357929533561e-257 |
142 | 1 | 1.29998579060299e-244 | 6.49992895301494e-245 |
143 | 1 | 4.50544774007755e-257 | 2.25272387003878e-257 |
144 | 1 | 9.91230235236303e-223 | 4.95615117618151e-223 |
145 | 1 | 6.00326499716819e-197 | 3.00163249858409e-197 |
146 | 1 | 1.11913961840113e-182 | 5.59569809200563e-183 |
147 | 1 | 1.21308754280509e-178 | 6.06543771402546e-179 |
148 | 1 | 0 | 0 |
149 | 1 | 6.69780113066295e-136 | 3.34890056533147e-136 |
150 | 1 | 1.64919223175938e-123 | 8.24596115879689e-124 |
151 | 1 | 4.4547637871912e-121 | 2.2273818935956e-121 |
152 | 1 | 6.95694200048636e-92 | 3.47847100024318e-92 |
153 | 1 | 1.61576495384289e-83 | 8.07882476921444e-84 |
154 | 1 | 1.16801688694594e-62 | 5.84008443472972e-63 |
155 | 1 | 5.76106924372664e-47 | 2.88053462186332e-47 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 147 | 1 | NOK |
5% type I error level | 147 | 1 | NOK |
10% type I error level | 147 | 1 | NOK |