Based on the following regression table, answer the questions: a) Write...
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Based on the following regression table, answer the questions:
Multiple R | 0.98029 | Regression Statistics | SUMMARY OUTPUT | |||
R Square | 0.96097 | |||||
Adjusted R Square | 0.95260 | |||||
Standard Error | 561.4967 | |||||
Observations | 18 | |||||
ANOVA | df | SS | MS | F | Significance F | |
Regression | 3 | 108671100 | 36223700.01 | 114.8943 | 4.262E-10 | |
Residual | 14 | 4413899.96 | 315278.569 | |||
Total | 17 | 113085000 |
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| Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% |
Intercept | -29260.193 | 7591.1797 | -3.8545 | 0.0017 | -45541.654 | -12978.732 |
X Variable 1 | -165.650 | 99.125 | -1.6711 | 0.1169 | -378.252 | 46.952 |
X Variable 2 | 822.942 | 76.408 | 10.7703 | 3.7E-08 | 659.062 | 986.822 |
X Variable 3 | 388.431 | 190.400 | 2.0401 | 0.0607 | -19.937 | 796.799 |
a) Write the model (coefficients rounded at 2 decimals):
yteo=+x1+x2+x3
b) Which is the number of explanatory variables? .
c) Which is the number of the observations of variables? .
d) The model validity is appreciated based on the value of . Write its value with 4 decimals: .
e) Write the multiple correlation coefficient with 4 decimals:
f) Looking at the regression table establish if the estimators are significant from 0, at a significance level of 5%.
Coefficients | P-value | Significance |
a0 | 0.0017 | |
a1 | 0.1169 | |
a2 | 3.7E-08 | |
a3 | 0.0607 |
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