Conditions for a system of linear equations to have no solutions
Which one of ...
Question
Which one of the following can be considered as appropriate pair of values of regression coefficient of y on x and regression coefficient of x on y?
A
(1,1)
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B
(−1,1)
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C
(−12,2)
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D
(13,103)
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Solution
The correct option is A(1,1) The general form of equation for a linear regression analysis is y=ax+b⟹x=1ay+c where 1a is the regression coefficient of x on y. Hence, only (1,1) satisfies the equation and it is the answer.