The following portion of regression results was obtained when estimating a multiple regression model.

df SS MS F

Regression k 8,693.11 4,346.56 375.16

Residual 22 254.89 MSE

Total 24 SST

Coefficients Standard Error t-stat p-value

Intercept 257.74 22.82 11.29 1.27E-10

x₁ 2.97 0.47 6.31 2.37E-06

x₂ 0.23 0.24 0.96 0.3454

a. What is the sample regression equation?

= _____+ ______x₁+_______x₂

b. Interpret the slope coefficient forx₁.

(Click to select)

The change in y hat given a unit increase in x1, while holding x2 constant.

The change in x1 given a unit increase in y hat.

The change in y hat given a unit increase in x1.

The change in x1 given a unit increase in y hat, while holding x2 constant.

c. Find the predicted value foryifx₁equals 25 andx₂equals 50.(Round your answerto 2 decimal places.)

__________

d. Fill in the missing values in the ANOVA table.(Round your answers to 2 decimal places, if needed.)

k ______

SST ______

MSE ______

e. Calculate the standard error of the estimate.(Round your answerto 2 decimal places.)

_____________

f. CalculateR².(Round your answerto 3decimal places.)

_____________