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Read the following description of a data set. Rod Diamond is a singer who appeals to an older demographic. For a comedy segment on a late night show, he asked random people on the street how old they were and how many of his songs they could name, if any. Rod noted the age of each person he spoke with, $x$ , and the number of songs each could name, $y$ . The least squares regression line of this data set is: $y = 0.886x - 23.764$ Complete the following sentence: The least squares regression line predicts that if a person is one year older, they will be able to name $\_\_\_\_$ more songs.

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Interpret regression lines

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Q. Read the following description of a data set. Rod Diamond is a singer who appeals to an older demographic. For a comedy segment on a late night show, he asked random people on the street how old they were and how many of his songs they could name, if any. Rod noted the age of each person he spoke with,

x

, and the number of songs each could name,

y

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

y = 0.886x - 23.764

Complete the following sentence: The least squares regression line predicts that if a person is one year older, they will be able to name

\_\_\_\_

more songs.

Identify the slope: Identify the slope of the least squares regression line. The equation given is $y = 0.886x - 23.764$ . The slope of the least squares regression line is the coefficient of $x$ , which is $0.886$ . This slope represents the change in the number of songs a person can name for each one year increase in age.
Interpret the slope: Interpret the slope. $\newline$ Since the slope is $0.886$ , this means that for each additional year of age, the least squares regression line predicts that a person will be able to name $0.886$ more songs.

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