Question

In the first-order model E( y) = β 0 + β 1 x 1 + β 2 x 2 + β 3 x 3, β 2 represents the slope of the line relating y to x 2 when β 1 and β 3 are both held fixed.

True or False

Answer 1

False

This is false because both $\beta1$ and $\beta3$ are already constant, we should have x1 and x3 to be constant for to be the slope of line relating y to x2.

B2

So in this case if it would have been given that x1 and x3 are held constant then this statement would have sense.

if x1 and x3 vary then there is no use of keeping the coefficients constant.

Hence false.

Do comment if you have any doubt.

Thank you !!