The equations of two lines of Regression are 3x + 2y = 26 , 6x + y = 31 Find

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written 6.2 years ago by

teamques10 ★ 65k

• modified 2.5 years ago

(i) Mean of x

(ii) Coefficient of correlation between x & y

(iii) σ$_y$ if σ$_x$ = 3

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written 6.0 years ago by

teamques10 ★ 65k

(i) Means $\bar{x}$ and $\bar{y}$ satisfy the equation of lines of regression.

$ \therefore 3\bar{x} + 2\bar{y} = 26 \\ 6\bar{x} + \bar{y} = 31 $

Solving, we get, $\bar{x}$ = 4 and $\bar{y}$ = 7

(ii) $ 6x + y = 31 \\ x = -\frac{1}{6}y + \frac{31}{6} \hspace{0.5cm} …

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