Question: A regression analysis attempting to link dependent variable y to independent variables x 1 and x 2 produced the estimated regression equation y = 59.89

A regression analysis attempting to link dependent variable y to independent variables x₁ and x₂ produced the estimated regression equation

ŷ = 59.89 + 8.11x₁ + 5.67x₂

Below is the ANOVA table for the analysis.

ANOVA Significance df SS MS Regression 2 4816.951 2408.476 3.830 0.045 Error

According to the ANOVA table, can we use sample results to reject an “all βs are 0” null hypothesis at the 5% significance level? At the 1% significance level? Explain.

ANOVA Significance df SS MS Regression 2 4816.951 2408.476 3.830 0.045 Error (Residual) Total 15 9433.049 628.870 17 14250.000

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