A Regression Was Performed on a Sample of 20 Observations $\hat { Y }$

question 92

Essay

A regression was performed on a sample of 20 observations. Two independent variables were included in the analysis, X and Z. The relationship between X and Z is Z = X2. The following estimated equation was obtained.
=23.72+12.61X+0.798Z
$\hat { Y }$ The standard errors for the coefficients are Sb₁ = 4.85 and Sb2 = 0.21 For this model, SSR = 520.2 and SSE = 340.6
a. Estimate the value of Y when X = 5.
b. Compute the appropriate t ratios.
c. Test for the significance of the coefficients at the 5% level. Which variables) is are) significant?
d. Compute the coefficient of determination and the adjusted coefficient of determination. Interpret the meaning of the coefficient of determination.
e. Test the significance of the relationship among the variables at the 5% level of significance.

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