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Read the following description of a data set. $\newline$ Manuel's baseball card collection includes sets from many different seasons. His older sets seem to be missing more cards than the newer sets, so he investigated to see whether this was actually the case.For each set, he recorded the number of years since its release, $x$ , and the number of missing cards, $y$ .The least squares regression line of this data set is: $y = 1.338x + 7.371$ $\newline$ Complete the following sentence: $\newline$ If a set were one year older, the least squares regression line predicts that there would be $\_\_$ extra cards missing from it.

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Interpret regression lines

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Q. Read the following description of a data set.

\newline

Manuel's baseball card collection includes sets from many different seasons. His older sets seem to be missing more cards than the newer sets, so he investigated to see whether this was actually the case.For each set, he recorded the number of years since its release,

x

, and the number of missing cards,

y

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

y = 1.338x + 7.371

\newline

Complete the following sentence:

\newline

If a set were one year older, the least squares regression line predicts that there would be

\_\_

extra cards missing from it.

Identify Slope: Identify the slope of the least squares regression line. $\newline$ The equation given is $y = 1.338x + 7.371$ . The slope of the least squares regression line is the coefficient of $x$ , which is $1.338$ . This slope indicates the change in the number of missing cards for each additional year since the set's release.
Interpret Slope: Interpret the slope in the context of the problem. $\newline$ Since the slope is $1.338$ , this means that for each one year increase in the number of years since the set's release, the number of missing cards increases by $1.338$ .
Answer Prompt: Answer the question prompt based on the slope. $\newline$ If a set were one year older, the least squares regression line predicts that there would be $1.338$ extra cards missing from it.

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