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sunnisam sunnisam
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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.

VariableMeanStDev
Calories477.3164.6
Sodium (mg)1021.3373.8
The regression equation is Calories = 99.69 + 0.3698 Sodium (mg)

SourceDFSSMSFP
Regression126750126750131.110.000
Error131117938599
Total14379293

A scatterplot with a regression line shows the relationship between Sodium and Calories. The horizontal axis is labeled, Sodium (milligrams) and has markings from 500 to 1750 in increments of 250. The vertical axis is labeled, Calories and has markings from 200 to 800 in increments of 100. A regression line starts from (480, 285), increases toward the right, and ends at (1675, 705). The dots are randomly scattered, such that a few dots lie above the regression line, a few dots lie below the regression line, and a few dots lie on the regression line. The concentration of the dots is more between the points 480 and 1250 on the horizontal axis and between the points, 240 and 500 on the vertical axis. The dots are plotted as follows: (480, 240), (575, 280), (625, 400), (700, 300), (850, 340), (875, 370), (900, 410), (1100, 420), (1175, 505), (1225, 515), (1225, 780), (1250, 650), (1475, 470), (1675, 610), and (1675, 770). All values are approximate.


Use the provided output to construct and interpret a 95% interval for the number of calories in a single McDonald's lunch/dinner menu item with 1,000 mg of sodium.

▸ 262.60 to 676.38
We are 95% sure that the mean number of calories in all McDonald's lunch/dinner menu items with 1,000 mg of sodium is between 262.60 and 676.38 calories.

▸ 417.68 to 521.30
We are 95% sure that the mean number of calories in all McDonald's lunch/dinner menu items with 1,000 mg of sodium is between 417.68 and 521.30 calories.

▸ 262.60 to 676.38
We are 95% sure that a single McDonald's lunch/dinner menu item with 1,000 mg of sodium has between 262.60 and 676.38 calories.

▸ 417.68 to 521.30
We are 95% sure that a single McDonald's lunch/dinner menu item with 1,000 mg of sodium has between 417.68 and 521.30 calories.
Textbook 
Statistics: Unlocking the Power of Data

Statistics: Unlocking the Power of Data


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