Question 15.11. The answer should consist of at least 275 words (approx. 20 sentences or 1,400 characters). this without re-writting…
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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.