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.
Sure, let's break down the given questions into parts:
i) Mean values of x and y and rxy (correlation coefficient):
To find the mean values of x and y, you'd need a dataset or specific values for x and y. The regression lines given in the question are in the form of equations and don’t directly provide the data needed to compute means or correlation coefficients.
ii) Ratio of two variances and the relationship between standard deviations (sx and sy):
The ratio of variances (σ²) can be calculated using the standard deviation formula, where if var(x) = 4, the standard deviation, σx, is 2. Given that
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In a state with a total population Of 70,000 adults, 34, 000 are males and Out Of a total Of 5000 graduates, 700 are females. Out Of 1200 graduate employees or the state 200 are females. Is there any sex bias in education among people? The state holds that no distribution is made in appointments with respect of sex. How far this claim is substantiated by the data given above? (4)
Two random variables have the regression lines
3x-2y = 26 and 6x+y = 31
i)
ii)
iii) Find the mean values Of x & y and rxy. Also find out the ratio of two variances. In particular is 4, what do you conclude about ? Also show that the regression estimate Of y for x — O is 13, where as the regression estimate Of x corresponding to y 13 is —3, Explain the cause of difference.
A census revealed the following figures Of th in a certain population. e blind and of the insane in two age groups
(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?
