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 | | | |
What is the estimated slope in this regression model? Interpret the slope in context.
▸ 0.3698
For each additional mg of sodium in McDonald's lunch/dinner menu items, we predict the number of calories to increase by 0.3698 calories.
▸ 0.3698
For each additional calorie in McDonald's lunch/dinner menu items, we predict the grams of sodium to increase by 0.3698 mg.
▸ 99.69
For each additional calorie in McDonald's lunch/dinner menu items, we predict the grams of sodium to increase by 99.69 mg.
▸ 99.69
For each additional mg of sodium in McDonald's lunch/dinner menu items, we predict the number of calories to increase by 99.69 calories.