A) If tested at the 0.05 significance level, the overall model would be consider

Question

A) If tested at the 0.05 significance level, the overall model would be considered statistically significant. SUMMARY OUTPUT Regression Statistics Multiple R 0.79288 R Square 0.628659 Adjusted R Square 0.522562 Standard Error 53.93691 Observations 10 ANOVA SS Regression 2 34475.67 17237.83 5.925303 7 20364.33 2909.19 Residual Total 9 54840 Coefficientsandard Err t Stat P-value 413.0573 67.1026 6.155608 0.000465 Intercept X1 46.7516 13.61245 -3.43447 0.010919 X2 -36.051 35.07682 -1.02777 0.338256

Explanation / Answer

Lets do step by step

For part A) level of significance = 0.05

Test statistic F = 5.93

Df => 2 , 7

Critical value = 4.7374 ( Using F table)

Test statistic > critical value so the overall model would be considered statistically significant.

For part B

R^2 = 0.522562 = 0.53

So the model explains nearly 63 percent of the variation in the dependent variable.

For part C

p-value corresponding to 0.010919

So p value < 0.05 so the variable X1 has a slope coefficient that is significantly different from zero.

So all options are correct.

So correct option is

D) All of the above are true.

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