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Question
Bring out the inconsistency in the following:
bYX = bXY = 1.50 and r = - 0.9
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Solution
Given, bYX = bXY = 1.50 and r = - 0.9
Here, the coefficient of regressions is positive and the coefficient of correlation is negative.
But, for consistent data they must have the same signs.
∴ The given data is inconsistent.
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a. r = `square`
b. When x = 50,
`y - square = square (50 - square)`
∴ y = `square`
c. When y = 25,
`x - square = square (25 - square)`
∴ x = `square`
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r = 0.5
byx = `square`
bxy = `square`
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`y - square = square (10 - square)`
∴ y = `square`
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Mean of x = 18
`2 square - 5 bary + 60` = 0
∴ `bary = square`
`sigma_x : sigma_y` = 3 : 2
∴ byx = `square/square`
∴ byx = `square/square`
∴ r = `square`
If byx > 1 then bxy is _______.
