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problem 1:

a) Given n = 10, σ x = 4.5, σ y = 3.6 and sum of the product of deviation from the mean of X and Y is 64 find the correlation co-efficient.
 
b) Given that X = 4y + 5 and Y = kx + 4 are the lines of regression of X on Y and Y on X respectives show that 0 < 4k < 1. If K = 1, find the means of the two variables and coefficient of correlation between them.
 
problem 2:

a) Find Karl pearson’s correlation co-efficient for the following paired data.

1717_karl pearsons coefficient.jpg

b) Obtain the regression equation of y on x from the following data:

159_regression.jpg

problem 3:

a) If θ is the angle between two regression lines and S.D of Y is twice the S.D of X and r = 0.25, find tan θ?
 
b) Show that the maximum value of the rank correlation coefficient is 1.
 
problem 4: Find out rank correlation co-efficient for the following paired data, which gives the Marks of 10 students in mathematics and statistics.

850_corelation coefficient.jpg

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