In a statistical study related to the price (in of two shares X and Y, the following two regression lines were found:
Y = 4X – 35 and 9X = Y + 135
i) Average Price of shares X and Y
iii) Coefficient of correlation between the price of Shares X and Y.
It is given that Regression equation of Y on X as Y=4X-35
similarly, regression equation of X on Y as
9X = Y+135
X=y/9 + 135/9
or X = 0.11Y + 15
therefore bxy = 0.11
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800 candidates of both sexes appeared at an examination. The boys outnumbered the girls by 15% of the total. The number of candidates who passed exceeds the number failed by 480. Equal number of boys and girls failed in examination. Prepare a 2 x 2 table and find the coefficient of association. Also comment.
The following table gives frequency distribution of 45 clerks in a business office according to age and pay:
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30-40
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2
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5
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7 |
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For the following frequency distribution of scores in Statistics of 50 students selected at random from among those appearing in a certain examination, compute the first four moments about mean:
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Among the adult population of a certain town 50 percent are males, 60 percent are wage earners and 50 percent are 45 years of age or over, 10 percent of the males are not wageearners, and 40 per cent of the males are under 45 years. Make the best possible inference about the limits within which the percentage of persons (male or female) of 45 years or over are wage earners.
Calculate the coefficient of rank correlation for the following data:
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| 09 |
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In a trivariate distribution:
1 = 2,
2 =
3 = 3, r12 = 0.7, r23 = r31 = 0.5
Find (i) r23.1 , (ii) R1.23 , (iii) b12.3 , b13.2 and (iv) 1.23
Calculate Karl Pearson’s coefficient of correlation between X and Y for the following data: