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

question 94

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, $\beta$ ₂ and $\beta$ 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:

Gender Schema

A cognitive framework that organizes information relating to gender, influencing how individuals understand gender roles and identity.

Cognitive Framework

An underlying structure of beliefs or ideas that guides the processing of information and influences perception and understanding.

Gender Role

A set of societal norms dictating what types of behaviors are generally considered acceptable, appropriate, or desirable for individuals based on their actual or perceived sex.

Western Society

Societies typically found in Western Europe and North America, characterized by democratic forms of government, capitalist economies, and individualistic cultures.