If the error term is homoskedastic, the F-statistic can be written in terms of the improvement in the t of the regression. How can we measure this improvement in fit'? (Check all that apply.) K The improvement in the t of the regression can be measured by the decrease in sum of squared residuals (SSR). The improvement in the t of the regression can be measured by the increase in the regression R2. The improvement in the t of the regression can be measured by the increase in sum of squared residuals (SSR). The improvement in the t of the regression can be measured by the decrease in the regression R2. A researcher wants to study the factors which affected the sales of cars by different manufacturers in the automobile industry across the world in the year 2017. Generally, the sales of cars (S, measured in thousands) depend on the average price of the cars sold by the manufacturer (P, measured in thousand dollars), the average interest rate at which car loans were offered in that country in that year (I, expressed as a percentage), and the manufacturers' total expenditure on the advertisement of their cars (E, measured in thousand dollars). She selects a random sample of 100 car manufacturers and estimates the following regression function: = 245.73 - 0.70! - O.37P+ 0.65E, By imposing restrictions on the true coefficients, the researcher wishes to test the nu | hypothesis that the coefcients on land E are jointly 0, against the alternative that atleast one of them is not equal to 0, while controlling for the other variables. The values of the sum of squared residuals (SSR) from the unrestricted and restricted regressions are 34.25 and 38.75, respectively. The homoskedasticityonly F-statistic value associated with the above test will be (Round your answer to two decimal places.) At the 1% significance level, the researcher will the joint null hypothesis. reject fail to reject