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4. Consider the following Stata regression output (the dataset for this exercise can be accessed with the command use https://www.stata-press.com/data/r17/census9, clear. Note that the

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4. Consider the following Stata regression output (the dataset for this exercise can be accessed with the command use https://www.stata-press.com/data/r17/census9, clear. Note that the pop variable has been divided by 1,000 to turn its unit into thousands of people) *) , 3035 50 www 75 324 5321 374 vane s GO 3130 X415 J. 317 AN 235 2.0/50% 4.77 884 ww N300 522 (a) Report regression results in equation form. (b) Suppose you want to conduct a hypothesis test to see if there is a relationship between pop and drate. What are the null and alternative hypotheses for this test? (d) Construct the 95% and 99% confidence interval for the true population slope coefficient (1). Provide the interpretation of each confidence interval reg drate pop, r Linear regression Number of obs F(1, 48) Prob > F R-squared Root MSE 50 1.96 0.1684 0.0518 12.862 Robust drate Coefficient std. err. t P>|t| [95% conf. interval] pop _cons .0006311 81.44875 .0004513 2.974096 1.40 0.168 27.39 0.000 -.0002763 .0015384 75.46893 87.42857

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