Question

In: Statistics and Probability

Suppose you want to model the linear relationship between calories and total fat in 8 randomly...

  1. Suppose you want to model the linear relationship between calories and total fat in 8 randomly selected McDonalds breakfast items. The following table lists the item, that item’s number of calories and the total fat:

Item

McMuffin

Bacon Egg & Cheese Bagel

Big Breakfast

Cinnamon Melts

Egg White Delight

Fruit & Oatmeal

Sausage Biscuit

Steak & Egg McMuffin

Calories (x)

300

620

640

460

250

290

430

430

Total Fat (y)

13

31

37

19

8

4

27

23

  1. (4 points) Find the slope for the Least-Squares regression equation for predicting the total fat of a McDonalds breakfast item based on its calories.
  2. (4 points) Find the y-intercept for the Least-Squares regression equation for predicting the total fat of a McDonalds breakfast item based on its calories.
  3. (2 points) What is the Least-Squares regression equation using answers (a) and (b)?
  4. (5 points) Calculate and interpret the coefficient of determination for these data.

Solutions

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