Question

A multiple regression analysis was performed to determine the relationship between the satisfaction rating for a new candy bar and the amount of chocolate used and the amount of caramel used. What is the mean value of the satisfaction rating, if the estimated regression equation is , the amount of chocolate (x1 ) used is 0.35 ounce, and the amount of caramel (x2 ) used is 0.15 ounce? a. 4.235 b. 6.73 c. 8.47 d. .50

Answer 1

The estimated rating is 8.2

Explanation:

We are given the following information in the question:

The multiple regression line to determine the relationship between the satisfaction rating for a new candy bar and the amount of chocolate used and the amount of caramel used is given by:

`y=7.6+2.1x_1-0.9x_2`

where y is the satisfaction rating(dependent variable),

`x_1: \text{ is the amount of chocolate used(independent variable)}\\x_2: \text{ is the amount of caramel used(independent variable)}`

We have to find the mean estimated rating when the amount of chocolate used is 0.35 ounce, and the amount of caramel used is 0.15 ounce.

Putting the values, we get:

`y=7.6+2.1(0.35)-0.9(0.15) = 8.2`

Thus, the estimated rating is 8.2