### Home > CC4 > Chapter 7 > Lesson 7.1.3 > Problem 7-40

Do the freshmen really have the largest backpacks, or is that just high school legend? Delenn was able to weigh a random sample of student backpacks throughout the school year. She also recorded the number of quarters of high school completed by the student who owned the backpack. Using spreadsheet software, Delenn created the following data representations: Homework Help ✎

Qtrs Completed

Backpack Weight (lbs)

0

16.03

0

15.47

8

3.52

12

11.62

1

17.66

5

6.67

5

10.48

13

4.96

2

15.47

6

9.21

14

6.10

14

11.10

3

5.96

11

10.06

15

3.54

15

5.18

Interpret the slope of the LSRL in the context of this study.

Calculate and interpret

*R*-squared in context.What is the residual with the greatest magnitude and what point does it belong to?

Using the LSRL model, estimate the weight of a backpack for a student who has completed 10 quarters of high school. Use appropriate precision in your answer.

Is a linear model the best choice for predicting backpack weight in this study? Support your answer.

What are the units associated with the slope? Is the slope positive or negative?

On average, student backpacks get 0.55 lbs lighter with each quarter of H.S. completed.

Square *r* to find R-squared.

_______ % of the variability in ______________can be explained by a linear relationship with _______________.

Which point is farthest from the LSRL, or which pointis farthest from the *x*-axis on the residual plot?

The largest residual is 6.2 lbs, relating to a student who has completed 3 quarters of H.S.

Let *x* = 10 in the given LSRL equation.

Does the residual plot have random scatter?