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# 11 dependence 12 dependence 13 more than less than 14

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Unformatted text preview: ficients. 23. Why there are two regression equations? 24. What are the uses of regression analysis? 25. Distinguish between correlation and regression. 26. What do you mean by regression line of Y on X and regression line of X on Y? 27. From the following data, find the regression equation X = 21, Y = 20, X2 = 91, XY = 74, n = 7 28. From the following data find the regression equation of Y on X. If X = 15, find Y? X8 11 7 10 12 5 4 6 Y 11 30 25 44 38 25 20 27 29. Find the two regression equations from the following data. X 25 22 28 26 35 20 22 40 20 18 Y 18 15 20 17 22 14 16 21 15 14 30. Find S.D (Y), given that variance of X = 36, bxy = 0.8, r = 0.5 31. In a correlation study, the following values are obtained X Y Mean 68 60 S.D. 2.5 3.5 Coefficient of correlation, r = 0.6 Find the two regression equations. 239 32. In a correlation studies, the following values are obtained: X Y Mean 12 15 S.D. 2 3 r = 0.5 Find the two regression equations. 33. The correlation coefficient of bivariate X and Y is r=0.6, variance of X and Y are respectively, 2.25 and 4.00, X =10, Y =20. From the above data, find the two regression lines 34. For the following lines of regression find the mean values of X and Y and the two regression coefficients 8X-10Y+66=0 40X-18Y=214 35. Given X=90, Y=70,bxy = 1.36, byx = 0.61 Find (i) the most probable values of X, when Y = 50 and (ii) the coefficient of correlation between X and Y 36. You are supplied with the following data: 4X-5Y+33 = 0 and 20X-9Y-107 = 0 variance of Y = 4. Calculate (I) Mean values of x and y (II) S.D. of X (III) Correlation coefficients between X and Y. Answers: I. 1. b 2. c 3.d 4. b 5. b 6. a 7. a 8. a 9. c 10. b II. 11. dependence 12. dependence 13. more than, less than 14. lesser 15. positive 16. same. III. 27. Y = 0.498X +1.366 28. Y =1.98X + 12.9;Y=42.6 30. 3.75 31. Y=2.88 + 0.84X, X = 42.2 + 0.43Y 32. Y = 6 + 0.75X ; X = 7 + 0.33Y 33. Y= 0.8X + 12, X = 0.45Y +1 34. X =13, Y = 17 byx = 9/20, bxy = 4/5 35. (i) 62.8, (ii) 0.91 36. X =13, Y =17, S.D(X)=9, r = 0.6 240...
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