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Read the following description of a data set. $\newline$ Nina is indignant that her favorite author takes too long to write new books. To determine how atypical her favorite author's speed is, Nina looked at how writing speed varies between different active authors.For her favorite novelists, she recorded the number of years they had been actively writing, $x$ , and how many novels they had written, $y$ .The least squares regression line of this data set is: $y = 0.443x - 1.863$ $\newline$ Complete the following sentence: $\newline$ For each additional year, the least squares regression line predicts that an author would have written an additional $\_\_$ novels.

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Interpret regression lines

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Q. Read the following description of a data set.

\newline

Nina is indignant that her favorite author takes too long to write new books. To determine how atypical her favorite author's speed is, Nina looked at how writing speed varies between different active authors.For her favorite novelists, she recorded the number of years they had been actively writing,

x

, and how many novels they had written,

y

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

y = 0.443x - 1.863

\newline

Complete the following sentence:

\newline

For each additional year, the least squares regression line predicts that an author would have written an additional

\_\_

novels.

Identify slope: Identify the slope of the least squares regression line. $\newline$ The equation given is $y = 0.443x - 1.863$ . The slope of the least squares regression line is the coefficient of $x$ , which is $0.443$ . This slope indicates the change in the number of novels written for each additional year an author has been actively writing.
Interpret slope: Interpret the slope. $\newline$ The slope of $0.443$ means that for each one year increase in the number of years an author has been actively writing, the least squares regression line predicts that the author would have written $0.443$ additional novels.

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