Use the following to answer the questions below:
Fast food restaurants are required to publish nutrition information about the foods they serve. Nutrition information about a random sample of 15 McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the total fat content (in grams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. Computer output from a regression analysis and a scatterplot (with regression line) of the data are provided.
Use two decimal places when reporting the results from any calculations, unless otherwise specified.
The regression equation is Calories = 137.1 + 15.06 Total Fat (g)
| Predictor | Coef | SE Coef | T | P |
| Constant | 137.08 | 40.64 | 3.37 | 0.005 |
| Total Fat (g) | 15.055 | 1.649 | 9.13 | 0.000 |
S = 62.7442 R-Sq = 86.5% R-Sq(adj) = 85.5%
Predicted Values for New Observations
| Total Fat (g) | Fit | SE Fit | 95% CI | 95% PI |
| 25 | 513.5 | 16.7 | (477.4, 549.5) | (373.2, 653.7) |
Use the computer output to provide and interpret a 95% interval for the price of a lunch/dinner menu item with 25 total grams of fat.
▸ CI: (477.4, 549.5)
We are 95% sure that a single lunch/dinner menu item at McDonald's with 25 total grams of fat will have between 477.4 and 477.5 calories.
▸ CI: (477.4, 549.5)
We are 95% sure that the mean number of calories in all McDonald's lunch/menu items with 25 total grams of fat is between 477.4 and 549.5 calories.
▸ PI: (373.2, 653.7)
We are 95% sure that a single lunch/dinner menu item at McDonald's with 25 total grams of fat will have between 373.2 and 653.7 calories.
▸ PI: (373.2, 653.7)
We are 95% sure that the mean number of calories in all McDonald's lunch/menu items with 25 total grams of fat is between 373.2 and 653.7 calories.
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