Bivariate Regression 1. A major goal of this homework is to encourage you to think about the conceptual elements of the equations involved in a regression by manually generating the parameters and statistics- Thus, you may N 0T use R for generating the initial regression components. You may use Excel for the calculations but transfer these intermediate results to the appropriate formulas on your answer sheet. Use at least three decimals when doing the computations. Quit and unemployment rates in 0.5. manufacturing, 1960-1922 year guit rateg100 employees, Y unemployment rate [%|, X 1960. 1.1 6.2 1961. 1.2 2.8 1962 1.5 6.0 1963. 1.5 5.2 1964. 1.6 5.0 1965 1.3 4.6 1966. 2.6 3.2 1962 2.4 3.6 1960 2.5 3.3 1969 3.0 3.3 1920. 2.0 5.6 1921 1.0 6-3 1922 2.5 5.6 A. Assume that quit rate Y is linearly related to the unemployment rate X as Y.= B; + Sex + u.- Estimate and write out the sample regression function and compute the standard error for your estimate of Ba. Interpret your results. 13 . Compute re, r, and the coefficient of variation. Interpret your results. C. Compute the F-statistic, the t-statistic, and their p-value for your estimate of Ex. Interpret your results. 0. Using the annual data for the period 1966-1928 and using the same model as in [1] above, the following results were obtained: Y. = 3.1232 - 0.1214K + u. se[E:] = 0.0210 and re = 0.0525 E. Are these results different from those obtained in step 1 above? Explain any differences