answer the following

Question One From a sample of n = 15 readings on X = Traffic Volume (cars per hour) and Y = Carbon Monoxide Concentration taken at Nairobi metropolitan air quality sampling site; the following statistics were computed: Ex = 3 550 Ey = 167.8 E x2 = 974 450 Ey2 = 1915.36 Exy = 41 945 Test for Ho: p = 0 at the . 05 level of significance and state your conclusion in context of this problem (p is the Population Coefficient of Correlation). (6marks)Question Two Using the data given in the table below X 2 6 8 9 Y 3 5 9 8 7 (a) Calculate the sample Correlation Coefficient r. Show all the steps (4marks) (b) Test for Ho: p = 0 at the . 05 level of significance and state your conclusion in context of this problem (p is the Population Coefficient of Correlation) (4marks)Question Three The equation of the regression line for the paired data below is y = 6.18286 + 4.33937x . Find the explained and unexplained variation (6mks) X 9 7 2 3 4 22 17 Y 43 35 16 21 23 102 81 Question Four A student has collected the following data describing the prices and quantities of harvested crops for the years 1990, 2000 and 2004 (Price in ksh and Production in kgs) . Item 1990 2000 2004 Price Production Price Production Price Production Maize 200 1050 500 1300 600 1450 Wheat 250 940 550 1220 700 1450 Groundnuts 350 400 800 500 1000 480 Construct the price and quantity indices of Laspeyre's Index, Paache's Index and Fisher's Index in 2000 and 2004, using 1990 as the base period. Give your comments on the results. (10marks)