[Solution Library] Recently, research efforts have focused on the problem of predicting a manufacturer’s market share by using information on the quality of
Question: Recently, research efforts have focused on the problem of predicting a manufacturer’s market share by using information on the quality of its product. Suppose that the following data are available on market share, in percentage (y), and product quality, on a scale of 0 to 100, determined by an objective evaluation procedure (X):
| X: | 27 | 39 | 73 | 66 | 33 | 43 | 47 | 55 | 60 | 68 | 70 | 75 | 82 |
| Y: | 2 | 3 | 10 | 9 | 4 | 6 | 5 | 8 | 7 | 9 | 10 | 13 | 12 |
- Estimate simple linear regression relationship between market share and product quality rating.
- Find the standard errors of the estimates of regression parameters; give an estimate of the variance of the regression errors. Also give a 95% confidence interval for the true regression slope. Is zero a plausible value for the true regression slope at a 95% level of confidence?
- What is r^2 in the regression? Interpret its meaning.
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