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DO NOT COPY THE SAME ANSER FROM OTHERS ON CHEGG I NEED A FULL EXPLANATION ON IT 4. Hypothesis tests of single restrictions on coefficients

image text in transcribedDO NOT COPY THE SAME ANSER FROM OTHERS ON CHEGG I NEED A FULL EXPLANATION ON IT

4. Hypothesis tests of single restrictions on coefficients (e.g., H.:B;= 0 vs. Hi:B; + 0 or Ho: = B2 vs. H,: B; + B2) can be performed using either a t-test or an F-test; that is, the conclusions are robust to the testing approach. A result of such tests is that the squared value of the t-statistic is equal to the F-statistic: t = F. Prove this result. For convenience, you may work with the univariate (k = 1 variable) model and the test of Ho: B; = 0 vs. Hi: B; + 0. 1

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