Answer the following
questions, in complete sentences, for each
data set. (7 points each)
- Are all the required conditions of the regression met?
- When there is no advertising, does the company have positive sales?
Homework Answers
The conditions for regression can be checked by fitting a regression model to given data and by observing the graphs related to it. I have used Minitab software for regression analysis of given variables. attaching output images and graphs too.
Analysis of Variance
| Source | DF | Adj SS | Adj MS | F-Value | P-Value |
| Regression | 1 | 4920 | 4920.4 | 22.54 | 0.000 |
| Advertise | 1 | 4920 | 4920.4 | 22.54 | 0.000 |
| Error | 34 | 7421 | 218.3 | ||
| Lack-of-Fit | 30 | 6394 | 213.1 | 0.83 | 0.671 |
| Pure Error | 4 | 1027 | 256.8 | ||
| Total | 35 | 12341 |
Model Summary
| S | R-sq | R-sq(adj) | R-sq(pred) |
| 14.7734 | 39.87% | 38.10% | 33.17% |
Coefficients
| Term | Coef | SE Coef | T-Value | P-Value | VIF |
| Constant | -18.0 | 10.1 | -1.78 | 0.084 | |
| Advertise | 1.918 | 0.404 | 4.75 | 0.000 | 1.00 |
Regression Equation
| Sales | = | -18.0 + 1.918 Advertise |
Required Graphs are as follows:
As you can see, the residuals and fitted values are randomly distributed, there is no pattern in the plot of residuals vs fitted values.
Regression Equation
| Sales | = | -18.0 + 1.918 Advertise |
As you can see, when advertisement is zero, the sales are negative.
Hope this helps. All the best...!!
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