Multiple Linear Regression - Estimated Regression Equation |
FINAL[t] = -4.33610240124024 + 0.355938218661821EXAM1[t] + 0.542518757618704EXAM2[t] + 1.16744421628222EXAM3[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) | -4.33610240124024 | 3.764226 | -1.1519 | 0.262298 | 0.131149 |
EXAM1 | 0.355938218661821 | 0.121389 | 2.9322 | 0.007961 | 0.003981 |
EXAM2 | 0.542518757618704 | 0.100849 | 5.3795 | 2.5e-05 | 1.2e-05 |
EXAM3 | 1.16744421628222 | 0.103014 | 11.3329 | 0 | 0 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.994817359591619 |
R-squared | 0.98966157894484 |
Adjusted R-squared | 0.988184661651246 |
F-TEST (value) | 670.085984663602 |
F-TEST (DF numerator) | 3 |
F-TEST (DF denominator) | 21 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.61356514949275 |
Sum Squared Residuals | 143.445178603504 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 152 | 152.607204391736 | -0.607204391735592 |
2 | 185 | 185.080114719002 | -0.0801147190015528 |
3 | 180 | 181.781585468364 | -1.78158546836372 |
4 | 196 | 199.74522646515 | -3.7452264651496 |
5 | 142 | 139.174720703663 | 2.82527929633742 |
6 | 101 | 103.693917933819 | -2.69391793381877 |
7 | 149 | 150.26322740394 | -1.26322740394047 |
8 | 115 | 112.820697279446 | 2.17930272055401 |
9 | 175 | 174.559483939616 | 0.440516060384367 |
10 | 164 | 164.494420939188 | -0.494420939188291 |
11 | 141 | 143.423375508337 | -2.42337550833677 |
12 | 141 | 142.234164155187 | -1.2341641551873 |
13 | 184 | 186.542857589768 | -2.54285758976804 |
14 | 152 | 152.407945271142 | -0.40794527114202 |
15 | 148 | 151.244091081266 | -3.24409108126581 |
16 | 192 | 189.124966125467 | 2.87503387453308 |
17 | 147 | 143.502192182976 | 3.49780781702442 |
18 | 183 | 181.893893610297 | 1.10610638970288 |
19 | 177 | 177.298389142192 | -0.298389142191725 |
20 | 159 | 158.349340190465 | 0.650659809534807 |
21 | 177 | 176.577424149637 | 0.422575850362542 |
22 | 175 | 174.663657777528 | 0.336342222472297 |
23 | 175 | 167.688893920723 | 7.31110607927704 |
24 | 149 | 150.632798455448 | -1.63279845544823 |
25 | 192 | 191.195411595645 | 0.80458840435502 |