Two random variables have the regression lines

3x – 2 y = 26 and 6x + y = 31

i) Find the mean values of x & y and rxy.

ii) Also find out the ratio of two variances. In particular is 4, sx = what do you conclude about sy ?

iii) Also show that the regression estimate of y for x = 0 is 13, where as the regression estimate of x corresponding to y = 13 is –3. Explain the cause of difference.

The first four moments Of a distribution about the value 4 of the variable are —l .5, 17, —30 and 108. Find the moments about mean, and Find also the moments about

(i) the origin, and

(ii) the point x 2.

A census revealed the following figures of the blind and of the insane in two age groups in a certain population. 

a) obtain a measure of the association between blindness and insanity in each of the age groups.

b) Do you consider that blindness and insanity are equally associated or disassociated with each other in two age groups or more in one-group than in other?

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