Question

If `bar"X"` = 40, `bar"Y"` = 6, σ_x = 10, σ_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:

विकल्प

• x − 6y − 4 = 0

• x + 6y − 4 = 0

• x − 6y + 4 = 0

• x + 6y + 4 = 0

Answer 1

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 10/1.5 ("y" - 6)`

⇒ x − 40 = 6(y − 6)

⇒ x − 40 = 6y − 36

∴ x − 6y − 4 = 0