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Unformatted text preview: r and nonlinear 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
BIVARIATE 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
2029
2 1 2 2  1  1 1 10
3039
212128
4049
221...
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 Winter '08
 Moshiri
 Business

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