Question
The accompanying table provides data for tar, nicotine, and carbon monoxide (CO) contents in a certain brand of cigarette. Find the best regression equation for
The accompanying table provides data for tar, nicotine, and carbon monoxide (CO) contents in a certain brand of cigarette. Find the best regression equation for predicting the amount of nicotine in a cigarette. Why is it best? Is the best regression equation a good regression equation for predicting the nicotinecontent? Why or why not?
TAR | NICOTINE | CO |
6 | 0.4 | 5 |
15 | 1.0 | 18 |
16 | 1.3 | 16 |
13 | 0.7 | 18 |
13 | 0.8 | 18 |
13 | 0.9 | 14 |
16 | 1.0 | 17 |
16 | 1.2 | 15 |
16 | 1.1 | 15 |
9 | 0.8 | 12 |
14 | 0.7 | 18 |
14 | 0.8 | 17 |
13 | 0.8 | 18 |
15 | 1.0 | 16 |
2 | 0.3 | 3 |
16 | 1.2 | 18 |
15 | 1.1 | 15 |
13 | 0.8 | 17 |
15 | 0.9 | 15 |
16 | 0.9 | 18 |
16 | 1.1 | 14 |
14 | 1.2 | 15 |
6 | 0.5 | 7 |
17 | 1.3 | 16 |
15 | 1.2 | 13 |
1. Find the best regression equation for predicting the amount of nicotine in a cigarette. Use predictor variables of tarand/or carbon monoxide (CO). Select the correct choice and fill in the answer boxes to complete your choice. (Round to three decimal places as needed.)
A. Nicotine = ____ + (____) CO
B. Nicotine = ____ + (____) Tar
C. Nicotine = ____ + (____) Tar + (____) CO
2. Why is this equation best?
A. It is the best equation of the three because it has the lowest adjusted R2, the highest P-value, and only a single predictor variable.
B. It is the best equation of the three because it has the highest adjusted R2 the lowest P-value, and only a single predictor variable.
C. It is the best equation of the three because it has the lowest adjusted R2, the highest P-value, and removing either predictor noticeably decreases the quality of the model.
D. It is the best equation of the three because it has the highest adjusted R2, the lowest P-value, and removing either predictor noticeably decreases the quality of the model.
3. Is the best regression equation a good regression equation for predicting the nicotine content? Why or whynot?
A. No, the large P-value indicates that the model is not a good fitting model and predictions using the regression equation are unlikely to be accurate.
B. Yes, the small P-value indicates that the model is a good fitting model and predictions using the regression equation are likely to be accurate.
C. No, the small P-value indicates that the model is not a good fitting model and predictions using the regression equation are unlikely to be accurate.
D. Yes, the large P-value indicates that the model is a good fitting model and predictions using the regression equation are likely to be accurate.
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