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bigben0007 bigben0007
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A month ago
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)

PredictorCoefSE CoefTP
Constant137.0840.643.370.005
Total Fat (g)15.0551.6499.130.000
S = 62.7442     R-Sq = 86.5%     R-Sq(adj) = 85.5%

Predicted Values for New Observations

Total Fat (g) FitSE Fit95% CI95% PI
25513.516.7(477.4, 549.5)(373.2, 653.7)

A scatterplot with a regression line shows the relationship between Total fat and Calories. The horizontal axis is labeled, Total fat (grams) and has markings from 10 to 40 in increments of 5. The vertical axis is labeled, Calories and has markings from 200 to 800 in increments of 100. A regression line starts from (9, 285), increases toward the right, and ends at (40, 720). 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 8 and 27 on the horizontal axis and between the points, 240 and 540 on the vertical axis. The dots are plotted as follows: (8, 240), (8, 350), (12, 300), (16, 490), (18, 290), (19, 380), (19, 400), (23, 410), (23, 540), (26, 500), (37, 620), (39, 760), and (40, 770). All values are approximate.


Use the computer output to provide and interpret a 95% interval for the mean number of calories in all McDonald's lunch/menu items with 25 total grams of fat.

▸ 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.

▸ 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.
Textbook 
Statistics: Unlocking the Power of Data

Statistics: Unlocking the Power of Data


Edition: 3rd
Authors:
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hhortonhhorton
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This helped my grade so much Perfect
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