Discussion
Assertion (A) : In the following regression equation Y = a + bX, 'a' shows the autonomous value of Y.
Reason (R) : If X = 0, Y = a holds. Hence, a is the minimum value of Y which is independent of any influence of X on Y.
Codes :
Answer: A
The official key is (A). In the regression Y = a + bX the constant 'a' is the value of Y when X is zero, so it shows the autonomous part of Y, the part that does not depend on X, and the reason gives this as the value that holds when X = 0. The wording that 'a' is the 'minimum value of Y' is loose, since Y could be lower if b were negative, but the key accepts the reason as the explanation. Options (B), (C) and (D) call the reason an incorrect or insufficient explanation.
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