Page 2 - Home assignment-correlation analysis.
P. 2
7. The unit of correlation coefficient between height in 1
feet and weight in kgs is_______.
(kg per feet / percentage / Non-existent)
8. _______ is the maximum value of rank coefficient of 1
correlation.
9. If the variables in simple correlation moves in the same 1
ratio then the degree of coefficient of correlation will be
__________ or __________.
10. Define correlation. 1
Short answer type questions (3 or 4 marks)
11. Distinguish between positive and negative correlation 3
with example.
12. Calculate coefficient of correlation if: 3
i. Covariance between x and y = 9.2
ii. Variance of X = 11.5
iii. Variance of Y = 14.2
13. Find the standard deviation of x series, if coefficient of 4
correlation between two series X and Y is 0.35 and their
co-variance is 10.5 and variance of Y series is 56.25.
14. The coefficient of rank correlation of the marks 4
obtained by 10 students in two particular subjects was
found to be 0.5. it was later discovered that the
difference in ranks in two subjects obtained by one of
the students was wrongly taken as 3 instead of 7. What
should be the correct value of coefficient of rank
correlation.
15. Outline the properties of coefficient of correlation. 4
Long answer type question (6 marks each)
16. Following are the heights in inches (X) and weights in 6
kgs (Y) of 10 students of a class:
X 60 64 68 62 67 69 70 72 65 61
Y 50 48 56 65 49 52 57 60 59 47
Calculate the coefficient of correlation busing short cut
method.
17. From the following data, calculate coefficient of 6
correlation between the variables X and Y using Karl
Pearson’s method. (use actual mean method)
X 10 06 09 10 12 13 11 09
Y 09 04 06 09 11 13 08 04
18. From the following data, calculate coefficient of 6
correlation between the variables X and Y using Karl
Pearson’s method. (use direct method based on data)