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Read the following description of a data set. $\newline$ Jaylen 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: $y = 1.214x - 5.465$ $\newline$ Complete the following sentence: $\newline$ If Jaylen 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

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Q. Read the following description of a data set.

\newline

Jaylen 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 = 1.214x - 5.465

\newline

Complete the following sentence:

\newline

If Jaylen stays on vacation for one extra day, the least squares regression line predicts that he would have read ___ additional books.

Identify slope: Identify the slope of the least squares regression line. The equation given is $y = 1.214x - 5.465$ . The slope of the least squares regression line is the coefficient of $x$ , which is $1.214$ . This slope indicates the change in the number of books read for each additional day Jaylen stays on vacation.
Interpret slope: Interpret the slope in the context of the problem. $\newline$ Since the slope is $1.214$ , this means that for each additional day Jaylen stays on vacation, the least squares regression line predicts that he will read $1.214$ more books.

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