The model
E(
y) =
β0 +
β1x1 +
β2x2 +
β3x3 +
β4x4 was used to relate
E(
y) to a single qualitative variable, where
x1 = | x2 = |
x3 = | x4 = |
This model was fit to
n = 40 data points and the following result was obtained:

= 14.5 + 3
x1 - 4
x2 + 10
x3 + 8
x4 a. | Use the least squares prediction equation to find the estimate of E(y) for each level of the |
qualitative variable.
b. | Specify the null and alternative hypothesis you would use to test whether E(y) is the same for |
all levels of the independent variable.