The following simple linear regression analyzes the relationship between the number of classes students are taking (the independent variable, labeled in the following output as X[,2]) and the number of books they have in their backpack (the response) at randomly chosen times. Assume all relevant assumptions are met. Which of the following are correct interpretations of the slope?

a. Each additional class a student takes is associated with about a 58.7% increase in the number of books in their backpack on average.

b. Each additional class a student takes is associated with about an additional 0.587 books in their backpack on average.

c. Taking an additional class causes students to carry 0.587 extra books with them on average.

d. The population average number of books in a studentâs backpack is 0.587.

Question

Mathematics

Caitlyn Hopkins

10 January, 20:45

The following simple linear regression analyzes the relationship between the number of classes students are taking (the independent variable, labeled in the following output as X[,2]) and the number of books they have in their backpack (the response) at randomly chosen times. Assume all relevant assumptions are met. Which of the following are correct interpretations of the slope?

a. Each additional class a student takes is associated with about a 58.7% increase in the number of books in their backpack on average.

b. Each additional class a student takes is associated with about an additional 0.587 books in their backpack on average.

c. Taking an additional class causes students to carry 0.587 extra books with them on average.

d. The population average number of books in a studentâs backpack is 0.587.

+5

Answers (1)

Know the Answer?

Gwendolen · Answer 1

The answer is B.

Step-by-step explanation:

Why do we say that the answer is B?

For each additional class there is a significant increase that represents a minimum value over a total of books, that is, 100% that will always remain, therefore the increase will be an additional average over the other "books" that are already in backpack.