(10 points) 4) In the file Health, you will find data for 53 small cities: Y: Death rate per 1000 residents X1: Doctor availability per 100,000 residents X2: Hospital availability per 100,000 residents X3: Annual per capita income in thousands of dollars X4: Population density, people per square mile a) Run a regression of Y on the 4 X variables. What is the overall F-test value? Is it significant at the 5% level of significance? What is the implication of the test conclusion? Show output. b) Based on the regression of part (a), use the t-tests at 5% level of significance to determine the variables to be removed. Run a second regression. By hand, compute a partial F-statistic for the potential removal of these variables. Show work. Using JMP's Distribution Calculator (or Excel's F.DIST.RT function), find the p-value for the partial F-statistic and conduct the test at the 5% level. What do you conclude? Show output.