Question

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

x=427.5, y=20.25, sx=146.36, sy=11.45, Sxx=149950, Syy=917.5, Sxy=10945

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.

Answer 1

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