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 predicting the amount of nicotine in a cigarette. Why is it best? Is the best regression equation a good regression equation for predicting the nicotine content? Why or why not? Click the icon to view the cigarette content data.

Find the best regression equation for predicting the amount of nicotine in a cigarette. Use predictor variables of tar and/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 =____ + (____)Tar
B. Nicotine =____ + (____)
C. Nicotine =____ + (____)Tar+(____)CO
Tar Nicotine CO
5 0.5 3
15 1.0 19
17 1.1 16
14 0.7 19
14 0.8 19
14 1.0 13
15 1.0 16
14 1.1 14
15 1.2 15
8 0.8 12
13 0.8 18
12 0.8 16
12 0.8 18
15 1.0 17
2 0.3 3
16 1.1 17
15 1.0 14
13 0.7 19
13 1.1 14
15 0.9 16
15 1.1 14
15 1.1 16
8 0.6 8
18 1.3 17
14 1.1 13

Answer 1

The best regression equation for predicting the amount of nicotine in a cigarette using tar and carbon monoxide (CO) as predictor variables is option C: Nicotine = ...

Step-by-step explanation:

The best regression equation for predicting the amount of nicotine in a cigarette using tar and carbon monoxide (CO) as predictor variables is option C: Nicotine = ______ + (____)Tar + (____)CO. To find the best regression equation, we need to consider the coefficients that minimize the sum of the squares of the differences between the predicted values and the actual values of nicotine in the data set. This is usually done using statistical software or a calculator that performs regression analysis.

The best regression equation may be considered good if it has a high coefficient of determination (R-squared) value, indicating that it can explain a large proportion of the variation in the nicotine content. Additionally, it should have statistically significant coefficients for the predictor variables, indicating their influence on the nicotine content.