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 | | | |
The website also provides information about the sugar content in the menu items at McDonald's. For this sample of lunch/dinner menu items, the correlation between number of calories and sugar content (in grams) is 0.35. Test, at the 5% significance level, if there is a significant linear association between number of calories and sugar content for McDonald's lunch/dinner menu items. Include all details of the test.
Quick Reply
