A Regression Was Performed on a Sample of 16 Observations $\beta$

question 9

Essay

A regression was performed on a sample of 16 observations. The estimated equation is . The standard errors for the coefficients are S_b1 = 4.2, S_b2 = 5.6, and S_b3 = 2.8. For this model, SST = 3809.6 and SSR = 3285.4.
a.Compute the appropriate t ratios.
b.Test for the significance of $\beta$ ₁, $\beta$ ₂and $\beta$ ₃at the 5% level of significance.
c.Do you think that any of the variables should be dropped from the model? Explain.
d.Compute R² and R_a². Interpret R².
e.Test the significance of the relationship among the variables at the 5% level of significance.

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Definitions:

Wives

Female partners in a marital relationship, typically emphasizing their roles and responsibilities within the partnership.

Economically Dependent

Referring to individuals or entities that rely on others for financial support.

Abusive Husbands

Male spouses who engage in physical, emotional, or sexual mistreatment of their partners.

Women

Female adults; often discussed within various social, cultural, and scientific contexts including gender studies.