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Choose the correct option for the following questions. If the regression line of on is and on is …
Choose the correct option for the following questions.
(i)
If the regression line of $x$ on $y$ is $9x + 3y - 46 = 0$ and $y$ on $x$ is $3x + 12y - 7 = 0$, then the correlation coefficient ‘r’ is equal to:
- (a)$-\frac{1}{12}$
- (b)$\frac{1}{12}$
- (c)$-\frac{1}{2\sqrt{3}}$
- (d)$\frac{1}{2\sqrt{3}}$
(ii)
If $\bar{X} = 40$, $\bar{Y} = 6$, $\sigma_x = 10$, $\sigma_y = 1.5$ and $r = 0.9$ for the two sets of data X and Y, then the regression line of X on Y will be:
- (a)$x - 6y - 4 = 0$
- (b)$x + 6y - 4 = 0$
- (c)$x - 6y + 4 = 0$
- (d)$x + 6y + 4 = 0$
Answer
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From ISC 2022 Specimen Mathematics Paper 1, question 12.