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Question
Bring out the inconsistency in the following:
bYX + bXY = 1.30 and r = 0.75
Solution
Given, bYX + bXY = 1.30, r = 0.75
Consider, `("b"_"YX" + "b"_"XY")/2 = 1.30/2 = 0.65`
∴ `("b"_"YX" + "b"_"XY")/2 < "r"`
But, for consistent data `|("b"_"YX" + "b"_"XY")/2|` >|r|
∴ Given data is inconsistent.
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| x | y | xy | x2 | y2 |
| 6 | 9 | 54 | 36 | 81 |
| 2 | 11 | 22 | 4 | 121 |
| 10 | 5 | 50 | 100 | 25 |
| 4 | 8 | 32 | 16 | 64 |
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∴ Regression equation of x on y is `square`
∴ Regression equation of y on x is `square`
