MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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In order to determine whether or not the sales 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 (n) years. Part of the regression results are shown below.
|
|
Coefficients |
Standard Error |
|
Intercept |
7.0174 |
1.8972 |
|
x1 |
8.6233 |
2.3968 |
|
x2 |
0.0858 |
0.1845 |
|
ANOVA |
|
|
|
|
|
|
df |
SS |
MS |
F |
|
Regression |
|
321.11 |
|
|
|
Residual (Error) |
|
63.39 |
|
|
|
A. Use the above results and write the multiple regression equation that can be used to predict sales and interpret the statical meaning of the estimated slope coefficient b1(for advertising expenditure). |
|
B. Estimate the sales volume for an advertising expenditure of 3.5 million dollars and 45 salespeople. Give your answer in dollars. Please show all the relevant calculations. |
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C. At α = 0.05, test to determine through an F-test if the fitted equation developed in Part A represents a significant relationship between the independent variables and the dependent variable. Please show all the relevant calculations. |
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D. At α = .05, test to see through a t-test if β1 is significantly different from zero. Please show all the relevant calculations. |
|
E. Determine the multiple coefficient of determination (R^2). Please show all the relevant calculations. |
|
F. Compute the adjusted coefficient of determination (Adj R^2). Please show all the relevant calculations. |
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