please answer questions a through e

d. Is there autocorrelation at the fth degree? (2 point) 2. Multiple restriction tell: You have just been hired at the Center for Disease Control in Atlanta as an economenician specializing in quantitative epidemiological studies. Anthony Fauci, you like to call him Tony, just entered the room with your first assignment. He wants to look as the relevant factors associated with the US mortality rate. He asks you to estimate the following model. Mortality Rate, = a + llncame + lPoverty' + B: Proportion HS, + ,9, Proportion ColIege. + s[isImZHmIth] + A Proportion Over 65, + E, Populalin where income, poverty, proportion with high school, proportion with college degrees, budget per capita spent on health care, and the proportion over 65 are measured for each of the 51 states. You estimate the model. Model 1: OLS estimates using the 51 observations 1 5 l Dependent variable: MORE Heteroskedasticityrobust standard errors, variant HCl coefficient std. error 439.285 172.698 Income 0.00553774 0.00680832 Poverty 185.020 352.61 1 H S -462.801 135.031 College -450.472 379.835 '2??? Expenditures 0.100872 0.0284035 Age>65 4447.17 390.724 Mean dependent var 855.0059 S.D. dependent var 137.9660 Sum squared resid 88450.99 S.E. of regression 44.8358 1 Rsquared 0.907063 Adjusted R-squared 0.894390 F(6, 44) 1149692 PvaluefF) 3.18e-25 Log-likelihood -262.5545 Akaike criterion 539.1090 Schwarz criterion 552.6318 HannanQuinn 544.2765 A. Which variables are individually statistically signicant in state mortality rates? To receive full points, you must calculate the relevant statistics and compare them to the appropriate critical values. (2 point) . What is the variation in the dependent variable that is explained by variation in the model or independent variables? (3 point) . Are all the variables in your model jointly signicant? Propose and implement the correct test. (2 point) a. To receive full credit, you must state your null hypothesis, report the correct value of the test statistic, and compare it to the correct critical value. Dr. Fauci now Wants to restrict a subset of variables. He wants to see if income and the percent of the population under the poverty line are jointly signicant for state mortality rates. D. What is the name of the correct test, and write down the joint hypothesis for your boss' request? (1 point) E. What is the equation for your restricted model, i.e., write down the estimated model? (1 point] Dr. Fauci provides you with a re-estimated model to test whether or not state income and the percent of the populaan under the poverty line are jointly signicant in explaining state mortality. He wants a formal test. Model 1: OLS estimates using the 51 observations 1-51 Dependent variable: MORT Hetemskedasticityrobust standard errors, variant H01 coefcient std. error t-ratio pvalue 525.484 52.6521 ????? 4.33e-013