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प्रश्न
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:
विकल्प
x − 6y − 4 = 0
x + 6y − 4 = 0
x − 6y + 4 = 0
x + 6y + 4 = 0
उत्तर
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
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∴ Y = `square`
