# Question 15.11. the answer should consist of at least 275 words

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Question 15.11. The answer should consist of at least 275 words (approx. 20 sentences or 1,400 characters). this without re-writting the questions provided in the DB. Please send it in an editable format.

ANOVA

Regression 360.59

Residual 23.91

df SS MS F

Coefficients St Error

Intercept 4.0928 1.4400

x1 10.0230 1.6512

x2 0.1020 0.1225

x3 -4.4811 1.4400

a. Write the regression equation for the above.

b. Interpret the meaning of the coefficient of x3.

c. Compute the coefficient of determination.

d. Is the coefficient of x1 significant? Use alpha = 0.05.

e. Is the coefficient of x2 significant? Use alpha = 0.05.

f. Is the coefficient of x3 significant? Use alpha = 0.05.

g. Perform an F test and determine whether or not the model is significant. Use

alpha = 0.05.

Question 15.11

In order to determine whether or not the sales volume of a company (y in millions

of dollars) is related to advertising expenditures (x1 in millions of dollars) and the

number of salespeople (x2), data were gathered for 10 years. Part of the Excel

output is shown below:

ANOVA

Regression 321.11

Residual 63.39

df SS MS F

Coefficients Standard Error

Intercept 7.0174 1.8972

x1 8.6233 2.3968

x2 0.0858 0.1845

a. Use the above results and write the regression equation that can be used to

predict sales.

b. Estimate the sales volume for an advertising expenditure of 3.5 million dollars

and 45 salespeople. Give your answer in dollars.

c. At alpha = 0.01, test to determine if the fitted equation developed in Part a

represents a significant relationship between the independent variables and the

dependent variable.

d. At alpha = 0.01, test to see if the coefficient of x1 is significantly different from

zero.

e. At alpha = 0.01, test to see if the coefficient of x2 is significantly different from

zero.

f. Determine the multiple coefficient of determination.

g. Compute the adjusted coefficient of determination.