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Read the following description of a data set. $\newline$ Fulton County's Parks and Recreation Department is considering establishing a new park. As part of the decision-making process, the department asked an intern to conduct a park usage study.The study considered the area (in square kilometers), $x$ , and the number of visitors last year, $y$ , of each county park.The least squares regression line of this data set is: $y = 10,637.929x + 134,391.457$ $\newline$ Complete the following sentence: $\newline$ If a park's area was one square kilometer larger, the least squares regression line predicts that it would have had $\_\_$ more visitors last year.

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Interpret regression lines

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Q. Read the following description of a data set.

\newline

Fulton County's Parks and Recreation Department is considering establishing a new park. As part of the decision-making process, the department asked an intern to conduct a park usage study.The study considered the area (in square kilometers),

x

, and the number of visitors last year,

y

, of each county park.The least squares regression line of this data set is:

y = 10,637.929x + 134,391.457

\newline

Complete the following sentence:

\newline

If a park's area was one square kilometer larger, the least squares regression line predicts that it would have had

\_\_

more visitors last year.

Identify Slope: Identify the slope of the least squares regression line. The equation given is $y = 10,637.929x + 134,391.457$ . The slope of the least squares regression line is the coefficient of $x$ , which is $10,637.929$ . This slope indicates the change in the number of visitors for each one square kilometer increase in park area.
Interpret Slope: Interpret the slope in the context of the problem. $\newline$ Since the slope is $10,637.929$ , this means that for each additional square kilometer of park area, the number of visitors is predicted to increase by $10,637.929$ .

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