Question: Below are results from a regression analysis attempting to link a dependent variable y to independent variables x 1 and x 2 . a. Can

Below are results from a regression analysis attempting to link a dependent variable y to independent variables x₁ and x₂.

ANOVA Significance df MS Regression 2 4425.527 2212.763 5.530 0.016 Error Residual)

a. Can these results be used to reject the “all βs are 0” null hypothesis at the 5% significance level? Explain.

b. Use t tests to determine which, if any, of the individual coefficients are statistically significant at the 5% significance level.

ANOVA Significance df MS Regression 2 4425.527 2212.763 5.530 0.016 Error Residual) Total 15 6002.251 400.150 17 10427.778 Coeffs Std Intercept 61415 23.262 3.126 2.426 t Stat 2.640 3.168 1.050 P-value 0.019 0.006 0.310 X 1 9.906 2.548

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