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From the Two Regression Equations Y = 4x - 5 and 3x = 2y + 5, Find X and Y - Mathematics and Statistics

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Question

From the two regression equations y = 4x - 5 and 3x = 2y + 5, find `barx and bary`

Sum
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Solution

Two regression lines are y = 4x - 5 and 3x = 2y + 5
Solving above equations

                               8x - 2y = 10
                               3x - 2y = 5
                          -      +      -              
                                      5x = 5
                                ∴  `barx = 1`
Using x = 1 in y = 4x - 5
                                    `bary = -1`

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Regression Coefficient of X on Y and Y on X
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2015-2016 (March)

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