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Choose the correct option.
If X̅ = 40, Y̅ = 6, σ_x = 10, σ_y = 1.5 and r = 0.9 for the two sets of data X and Y, then the…
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
Answer
Correct option: (a)
Answer: (a) $x - 6y - 4 = 0$
$b_{xy} = r\frac{\sigma_x}{\sigma_y} = 0.9\times\frac{10}{1.5} = 6$.
$x - 40 = 6(y - 6)$, i.e. $x - 6y - 4 = 0$.