1. We are interested in checking if larger cities have higher rates of influenza than we would expect just from them bei
Posted: Fri Jul 01, 2022 8:19 am
1. We are interested in checking if larger cities have higher rates of influenza than we would expect just from them being la rger (Does a 1% increase in population result in a more than 1% increase in Influenza). We have a dataset with information on the number of flu cases, the population of the town and the average temperature in December. We get the following regression results. Log(Influenza) = 170.4 + 1.2 log(city_population) -0.03 Dec_temp (17.3) (.08) (.001) n = 129, R² = .34 Test if the elasticity (Coefficient on city population) of influenza with respect to population is one. Conduct a one sided test at the 1% level. a. Please write out the null and alternative hypothesis for a one sided test. b. Compute the t-statistic and determine if it is statistically significant. Please include a picture. c. Compute and interpret the p-value for the coefficient on population. d. Why did I ask you to do a one sided test e. Compute the 95% confidence interval for Dec_temp. Is Dec_temp a significant variable in this regression? Explain. f. How do you interpret the coefficient of Dec_temp in this model?