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Unformatted text preview: r and non-linear correlation. Mention important properties of correlation coefficient. Prove that correlation coefficient lies between –1 and +1. Show that correlation coefficient is independent of change of origin and scale. What is Rank correlation? What are its merits and demerits? Explain different types of correlation with examples. Distinguish between Karl Pearson’ s coefficient of correlation and Spearman’ s correlation coefficient. For 10 observations x = 130; y = 220; x2 = 2290; y2 = 5510; xy = 3467. Find ‘ r’ . Cov (x,y) = 18.6; var(x) = 20.2; var(y) = 23.7. Find ‘ r’ . Given that r = 0.42 cov(x,y) = 10.5 v(x) = 16; Find the standard deviation of y. Rank correlation coefficient r = 0.8. D2 = 33. Find ‘ n’ . Karl Pearson Correlation: 34. Compute the coefficient of correlation of the following score of A and B. A 5 10 5 11 12 4 3 2 7 1 B 1 6 2 8 5 1 4 6 5 2 35. Calculate coefficient of Correlation between price and supply. Interpret the value of correlation coefficient. Price 8 10 15 17 20 22 24 25 Supply 25 30 32 35 37 40 42 45 36. Find out Karl Pearson’ s coefficient of correlation in the following series relating to prices and supply of a commodity. Price(Rs.) 11 12 13 14 15 16 17 18 19 20 Supply(Rs.) 30 29 29 25 24 24 24 21 18 15 37. Find the correlation coefficient between the marks obtained by ten students in economics and statistics. Marks (in 70 68 67 55 60 60 75 63 60 72 economics Marks (in 65 65 80 60 68 58 75 62 60 70 statistics 213 38. Compute the coefficient of correlation from the following data. Age of 40 34 22 28 36 32 24 46 26 30 workers Days 2.5 3 5 4 2.5 3 4.5 2.5 4 3.5 absent 39. Find out correlation coefficient between height of father and son from the following data Height 65 66 67 67 68 69 70 72 of father Height 67 68 65 68 72 72 69 71 of son BI-VARIATE CORRELATION: 40. Calculate Karl Pearson’ s coefficient of correlation.for the following data. Class 0 1 2 3 4 5 6 7 8 Total Interval 20-29 2 1 2 2 - 1 - 1 1 10 30-39 -2-1-2-128 40-49 -2-2--1-...
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