Use the following to answer the questions below:
Fast food restaurants are been required to publish nutrition information about the foods they serve. Nutrition information about a random sample of McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the sodium content (in milligrams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. Some summary statistics, partial 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.
| Variable | Mean | StDev |
| Calories | 477.3 | 164.6 |
| Sodium (mg) | 1021.3 | 373.8 |
The regression equation is Calories = 99.69 + 0.3698 Sodium (mg)
| Source | DF | SS | MS | F | P |
| Regression | 1 | 267501 | 267501 | 31.11 | 0.000 |
| Error | 13 | 111793 | 8599 | | |
| Total | 14 | 379293 | | | |
Use the following output to identify and interpret a 95% interval for the number of calories in a single McDonald's lunch/dinner menu item with 800 mg of sodium.
Predicted Values for New Observations
| Sodium (mg) | Fit | SE Fit | 95% CI | 95% PI |
| 800 | 395.5 | 28.1 | (334.8, 456.2) | (186.2, 604.8) |
▸ We are 95% sure that the mean number of calories in all McDonald's lunch/dinner menu items with 800 mg of sodium is between 334.8 and 456.2.
▸ We are 95% sure that the number of calories in a single McDonald's lunch/dinner menu item with 800 mg of sodium is between 186.2 and 604.8.
▸ We are 95% sure that the mean number of calories in all McDonald's lunch/dinner menu items with 800 mg of sodium is between 186.2 and 604.8.
▸ We are 95% sure that the number of calories in a single McDonald's lunch/dinner menu item with 800 mg of sodium is between 334.8 and 456.2.
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