Question
Data: Razor.xls Compute Using: Microsoft Excel functions and/or Data Analysis Toolpak, Regression The marketing department of a large supermarket chain wants to study the effects
Data: Razor.xls
Compute Using: Microsoft Excel functions and/or Data Analysis Toolpak, Regression
The marketing department of a large supermarket chain wants to study the effects of price on the sale of
packages of disposable razors. Data are collected from a sample of 15 stores with equivalent store traffic
and product placement (i.e., at the checkout counter). Five stores are randomly assigned to each of the
three price levels (79, 99, and 119 cents) for the package of razors. After conducting your analysis,
provide a recommendation. The data are provided for you in Razor.xls.
1. Construct a scatter plot for price and sales.
2. Fit a quadratic regression model and state the quadratic regression equation.
3. Predict the weekly sales for a price per package of 79 cents.
4. At the 0.05 level of significance, is there a significant quadratic relationship between weekly sales
and price?
5. At the 0.05 level of significance, determine whether the quadratic model is a better fit than the
linear model.
6. Interpret the meaning of the coefficient of multiple determination.
7. Compute the adjusted R2.
8. Consider ethical issues associated with multiple regression analysis. What are some of the pitfalls
of multiple regression?
Razor Data | ||
Price (cents) | PriceSquared | Sales |
79 | 6241 | 142 |
79 | 6241 | 151 |
79 | 6241 | 163 |
79 | 6241 | 168 |
79 | 6241 | 176 |
99 | 9801 | 91 |
99 | 9801 | 100 |
99 | 9801 | 107 |
99 | 9801 | 115 |
99 | 9801 | 126 |
119 | 14161 | 77 |
119 | 14161 | 86 |
119 | 14161 | 95 |
119 | 14161 | 100 |
119 | 14161 | 106 |
Price | Sales | |
79 | 142 | |
79 | 151 | |
79 | 163 | |
79 | 168 | |
79 | 176 | |
99 | 91 | |
99 | 100 | |
99 | 107 | |
99 | 115 | |
99 | 126 | |
119 | 77 | |
119 | 86 | |
119 | 95 | |
119 | 100 | |
119 | 106 | |
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