Essentials Of Business Analytics
1st Edition
ISBN: 9781285187273
Author: Camm, Jeff.
Publisher: Cengage Learning,
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Textbook Question
Chapter 4, Problem 14P
A study investigated the relationship between audit delay (the length of time from a company’s fiscal year-end to the date of the auditor’s report) and variables that describe the client and the auditor. Some of the independent variables that were included in this study follow:
A sample of 40 companies provided the following data:
- a. Develop the estimated regression equation using all of the independent variables included in the data.
- b. Test for an overall regression relationship at the 0.05 level of significance. Is there a significant regression relationship?
- c. How much of the variation in the sample values of delay does this estimated regression equation explain? What other independent variables could you include in this regression model to improve the fit?
- d. Test the relationship between each independent variable and the dependent variable at the 0.05 level of significance, and interpret the relationship between each of the independent variables and the dependent variable.
- e. On the basis of your observations about the relationships between the dependent variable Delay and the independent variables Quality and Finished, suggest an alternative regression equation to the model developed in part a to explain as much of the variability in Delay as possible.
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The county assessor feels that the use of more independent variables in the regression equation might improve the overall explanatory power of the model. In addition to size, the assessor feels that the total number of rooms, age, and whether or not the house has an attached garage might be important variables affecting selling price. The data for the 15 randomly selected dwellings are shown in the following table.
What proportion of the total variation in selling price is explained by the regression model?
D& T LTD marketing team needed more information about the effectiveness of their 3 main mode of advertising. To determine which type is the most effective, the manager collected one week’s data from 25 randomly selected stores. For each store, the following variables were recorded:
Weekly gross sales
Weekly expenditure on direct mailing (Direct)
Weekly expenditure on newspaper advertising (Newspaper)
Weekly expenditure on television commercials (Television)
Following is the regression output based on the above-mentioned data.
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.442…
D& T LTD marketing team needed more information about the effectiveness of their 3 main mode of advertising. To determine which type is the most effective, the manager collected one week’s data from 25 randomly selected stores. For each store, the following variables were recorded:
Weekly gross sales
Weekly expenditure on direct mailing (Direct)
Weekly expenditure on newspaper advertising (Newspaper) Weekly expenditure on television commercials (Television)
Following is the regression output based on the above-mentioned data.
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.442
R Square
A
Adjusted R Square
0.080
Standard Error
2.587
Observations
25
ANOVA
Df
SS
MS
F
Significance F
Regression
B
34.1036
E
F…
Chapter 4 Solutions
Essentials Of Business Analytics
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Ch. 4 - The American Association of Individual Investors...Ch. 4 - The National Football League (NFL) records a...Ch. 4 - Johnson Filtration. Inc., provides maintenance...Ch. 4 - A study investigated the relationship between...Ch. 4 - The U.S. Department of Energys Fuel Economy Guide...Ch. 4 - A highway department is studying the relationship...Ch. 4 - A sample containing years to maturity and...Ch. 4 - In 2011, home prices and mortgage rates fell so...Ch. 4 - A recent 10-year study conducted by a research...Ch. 4 - The Scholastic Aptitude Test (or SAT) is a...Ch. 4 - Consider again the example introduced in Section...Ch. 4 - Alumni donations are an important source of...
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