Question

In a multiple regression, the following sample regression equation is obtained:yˆ = 152 + 12.9x1 + 2.7x2.a. Predict y if x1 equals 20 and x2 equals 35. (Round your answer to 1 decimal place.)

Answer 1

The predicted value of y is 504.5.

Explanation:

Let be
`y = 152 + 12.9\cdot x_(1) + 2.7\cdot x_(2)`, for all
`x_(1), x_(2) \in \mathbb{R}`. If
`x_(1) = 20` and
`x_(2) = 35`, the predicted value of y is:

`y = 152 + 12.9\cdot (20) + 2.7\cdot (35)`

`y = 504.5`

The predicted value of y is 504.5.