If bar"X" = 40, bar"Y" = 6, σx = 10, σy = 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:

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x − 6y − 4 = 0 Explanation: The regression line of X on Y is given by `("x" - bar"X") = "b"_"xy"("y" - bar"Y") or, ("x" - bar"X") = "r". σ_"x"/σ_"y" ("y" - bar"Y") So, "x" - 40 = 0.9 xx $\frac{10}{1}$.5 ("y" - 6)` $\Rightarrow$ x − 40 = 6(y − 6) $\Rightarrow$ x − 40 = 6y − 36 $\therefore$ x − 6y − 4 = 0

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