Question

df SS MS F Regression A 8,693.11 4,346.56 375.16 Residual 22 254.89 C Total 24 B...

df

SS

MS

F

Regression

A

8,693.11

4,346.56

375.16

Residual

22

254.89

C

Total

24

B

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

x1

0.23

0.24

0.96

0.3454

a. What is the sample regression equation?
b. Interpret the slope coefficient for x1.
c. Find the predicted value for y if x1 equals 25 and x2 equals 50.
d. Fill in the missing values in the ANOVA table.
e. Calculate the standard error of the estimate.
f. Calculate R2.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution:

a. The simple regression equation is:

b. The slope coefficient for x1 is -2.97, it means for an additional one-unit increase in x1, the dependent variable is expected to be decreased by 2.97 units by keeping x2 constant.

c. The predicted value for y if x1 = 25 and x2 = 50 is:

  

d. Fill in the missing values in the ANOVA table.

e. Calculate the standard error of the estimate.

Answer: The standard error of the estimate is:

f. Calculate R2.

Answer: The value of R2 is:

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