A regression study was performed to examine the relationship between the selling price (y) and annua
Question: A regression study was performed to examine the relationship between the selling price (y) and annual local, county, and school taxes (x). The data were collected for 24 houses and shown in the following table.
Sale Price ($10,000) | Taxes ($1000) |
25.9 | 4.9176 |
29.5 | 5.0208 |
27.9 | 4.5429 |
25.9 | 4.5573 |
29.9 | 5.0597 |
29.9 | 3.891 |
30.9 | 5.898 |
28.9 | 5.6039 |
35.9 | 5.8282 |
31.5 | 5.3003 |
31.0 | 6.2712 |
30.9 | 5.9592 |
30.0 | 5.05 |
36.9 | 8.2464 |
41.9 | 6.6969 |
40.5 | 7.7841 |
43.9 | 9.0384 |
37.5 | 5.9894 |
37.9 | 7.5422 |
44.5 | 8.7951 |
37.9 | 6.0831 |
38.9 | 8.3607 |
36.9 | 8.14 |
45.8 | 9.1416 |
a. Consider the general SLR model, y = ?0+?1x+?. Perform a complete regression analysis (following and indicating the 8 steps in regression modeling) using the data. Interpret your output, stating hypotheses and conclusions. Test the normality assumption using the appropriate statistical test, and test the constant variance and uncorrelated errors assumptions using graphical methods. Assume the significance level, ?=5%.
b. Now fit the no-intercept model, y = ?1x+? to the data. Again, perform a complete regression analysis (following and indicating the 8 steps in regression modeling) using the data. Interpret your output, stating hypotheses and conclusions. Test the normality assumption using the appropriate statistical test, and test the constant variance and uncorrelated errors assumptions using graphical methods. Assume the significance level, ?=5%.
c. Which model would you recommend? Why?
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