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Read the following description of a data set. $\newline$ Brett is packing for vacation and is wondering how many books to bring. He wants to make sure he does not run out of reading material, so he looks at his reading journal to see how many books he read on past vacations.For each vacation, he records the vacation's length (in days), $x$ , and how many books he read, $y$ .The least squares regression line of this data set is: $y = 1.553x - 17.099$ $\newline$ Complete the following sentence: $\newline$ If Brett stays on vacation for one extra day, the least squares regression line predicts that he would have read $\_\_$ additional books.

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Interpret regression lines

Full solution

Q. Read the following description of a data set.

\newline

Brett is packing for vacation and is wondering how many books to bring. He wants to make sure he does not run out of reading material, so he looks at his reading journal to see how many books he read on past vacations.For each vacation, he records the vacation's length (in days),

x

, and how many books he read,

y

.The least squares regression line of this data set is:

y = 1.553x - 17.099

\newline

Complete the following sentence:

\newline

If Brett stays on vacation for one extra day, the least squares regression line predicts that he would have read

\_\_

additional books.

Identify slope of regression line: Identify the slope of the regression line from the equation $y = 1.553x - 17.099$ . The slope ( $1.553$ ) represents the change in the number of books read per additional day of vacation.
Calculate additional books: Calculate the additional books Brett would read if he stays one extra day using the slope. Additional books = $1.553$ books per day.

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