1. A distribution has standard deviation of 41.9 and mean of 74. What is the coefficient of variation? a) 0.566. b) 1.766. c) 5.66. d) All of the above. 2. For the standardized normal distribution, the following probabilities is ? a) Marginal b) Average c) 0.8446 d) b & c. 4. Given the least squares regression line a) The relationship between x and y is negative. b) The relationship between x and y is positive. c) As x decreases, so does y. d) None of these choices. 11. Lulu hypermarket sells three brands (A, B, and C) of laptop computers. The monthly sales of the three brands are: Brand A = 15 units; Brand B = 9 units and Brand C = 12 units. The unit price of brand A is R.O. 300; brand B is R.O. 280 and brand C is R.O. 200. The cost to the Stores is 280 R.O. for brand A; 260 R.O. for brand B, and 180 R.O for brand C. Let Using the above matrices, calculate the following: (a). Calculate total revenue (b). Calculate total cost (c). Calculate the monthly profit. 12. Find the A-1 and AT for the following matrix A2x2 4 = [8] 13. Let A= (32) B= 1 2 4 C= L3 6 12 Find AB - 3C 13. Let A= = %) [3] . B =[321] 1 2 41 C= 13 6 12 (611 Find AB - 3C 14. A shop which sells T-shirts has a demand function and a total cost function given equations: P = 240-10 Q and TC = 120 + 8 Q. 3 Write down the equations for TR and Profit. Write down equation for MR and MC. Calculate the number of T-shirts which must be sold to maximize profit and Reven c) Calculate the number of T-shirts which must be sold to maximize profit 15. The demand equation for a good is given by the equation: 2x = 520 - 20P, +0.6 Y + 2.9P,. Find the own price elasticity, income elasticity and cross price elasticity o Px = 10, Y = 700, Py = 21. Section D - Long Answer Questions - Answer any ONE (1 x 5 marks = 5 marks) 16. The input-output table for a two-sector economy is given as follows: Input to sector A Input sector B Final Demand Total Output 200 50 50 ? 100 ? Output from Sector A Output from Sector B Other inputs Total Input 100 0 ? 400 150 ? i. What is the basic assumption underlying the input- output model. ii. Use the basic assumption of the input-output model to complete the above table (fill- entries denoted by?). iii. Write the matrix of technical coefficients. iv. Calculate the total output required from each sector when final demand increases by 20%. 17. It occurs to Jane that the demand of coke is also subject to factors that are other than its own price. He identified some factors with data for several weeks and found the following Multiple Regression results. SUMMARY OUTPUT Regression Statistics Multiple R 0.709551 R Square 0.503461 Adjusted R Square 0.410359 Standard Error 2.130054 Observations 20 ANOVA dr Regression Residual Total Significance SS MS F F 73.60593 24.53531 5.40767 0.00921171 72.59407 4.537129 146.2 161 19 Intercept Price of Coke Ad Expenditure Pepsi Price Standard Coefficients Error 1 Star P-value Lower 95% Upper 95% 48.63081 6.3247384 7.688984|0.00927 35.222968 62.038661 -0.3035 0.1711745 -1.7730710.09525 -0.6663779 0.0593694 0.3429371 0.1655882 2.071021 0.05489 -0.0080947 0.6939678 0.23406 0.13935041.6796530.11244 -0.0613493 0.5294699 (a). Write down the fitted multiple regression equation? (b). Use the p-value approach to test the significance of the individual regression coefficients at the 5% level of significance (e). Find the percentage variation in the demand of coke that is explained by the regression model (d). How many weeks' data considered in this study? (e). Comment of Significance F results in the above data? ag 6. The first derivative for Q-15K2"? = al 4.5L-OK a. True b. False 7. Multiplication of matrices can only occur if the no. of rows in the 1st matrix is equal to the no. of columns in the 2nd matrix a. True b. False 8. In a multiple regression analysis, the we consider only one dependent variable and one independent variable only. a. True b. False 9. The following data reflect the number of times a population of business executives flew on business during the previous month: 469457 the range for these data is 5. a. True b. False 10. If p-value less than 5 % with confidence interval 95% for x variable (independent), then x variable is significance with dependent variable. a. True b. False