11. The following data refers to the demand for money (M) and the rate of interest (R) in fo eight different economics: M (In billions) 56 50 46 30 20 35 37 61 R% 6.3 4.6 5.1 7.3 8.9 5.3 6.7 3.5 A. Assuming a relationship= a + BR + U,, obtain the OLS estimatorsxofand B B. Calculate the coefficient of determination for the data and interpret its value C. If in a 9 economy the rate of interest is R=8.1, predict the demand for money (M) in this economy. 12. The quantity demanded of a commodity (Y) is assumed to be a linear function of its price (X). The following results were obtained from a sample of 10 observations. Price (X) 15 13 12 12 9 7 4 6 3 Quantity (Y) 760 775 780 785 790 795 800 810 830 840 In light of the above information A. Estimate the linear demand function and interpret your results. B. Estimate the standard errors of the regression coefficients C. What percent of variation in quantity demanded is explained by the regression line? D. Compute price elasticity of demand at X=12 and Y=780 E. Forecast the demand at price level of birr 10 & set a 95% confidence limit for the forecasted value F. Forecast the demand for a commodity at the mean price of the sample. G. test the significance of regression coefficients 13. The following data refers to the price of a good 'P' and the quantity of the good supplied, 'S'. P 2 7 5 1 4 8 2 8 S 15 41 32 9 28 43 17 40 A. Estimate the linear regressionEline= a + BP B. Estimate the standard errods and B C. What percent of variation in quantity supplied is explained by the regression line? D. Test the hypothesis that price influences supply E. Obtain a 95% confidence interval for