Question
(21) In a partially destroyed record of an analysis of correlation data, only the following results were legible: Variance of X = 9. Regression
(21) In a partially destroyed record of an analysis of correlation data, only the following results were legible: Variance of X = 9. Regression equation: 8X-10Y+66=0 and 40X - 18Y = 214. Find the (a) The mean values of X and Y. (b) The coefficient of correlation between X and Y. (22) Find two regression equations when it is given that X-68.2, Y=9.9, 9 th OY = 0.44 and 0.7. = (23) For 50 students of a class, the regression equation of marks in Statistics (X) on the marks in Mathematics (Y) is 3Y-5X+1080. The mean marks of mathematics is 44 and the variance of marks in statistics is of the variance of marks in mathematics. Find the mean marks in statistics and the co-efficient of correlation between the marks in the two subjects. (24) Can Y=5+2.8X and X3-0.5Y be the estimated regression equations of Y on X and X on Y respectively? Justify your answer. (c) The standard deviation of Y.
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