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# If the two regression lines of a bivariate distribution are $4x-5y+33=0$ and $20x-9y-107=0$,

(i) Calculate $\bar{x}$ and $\bar{y}$ ,the arithmetic means of x and y respectively. (ii) estimate the value of x when y=7. (iii) find the variance of y when $\sigma_x$ =3. This question has multiple parts. Therefore each part has been answered as a separate question on Clay6.com