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Read the following description of a data set. $\newline$ The design team at an electronics company is evaluating its new prototype for a miniature recording device. As part of this evaluation, designers at the company gathered data about competing devices already on the market. Among other things, the designers recorded the thickness of each recording device (in millimeters), $x$ , and its maximum recording length (in minutes), $y$ . The least squares regression line of this data set is: $y = 38.572x - 547.635$ $\newline$ Complete the following sentence: $\newline$ The least squares regression line predicts that, for each additional millimeter of thickness, a device can record $\_\_$ additional minutes.

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Interpret regression lines

Full solution

Q. Read the following description of a data set.

\newline

The design team at an electronics company is evaluating its new prototype for a miniature recording device. As part of this evaluation, designers at the company gathered data about competing devices already on the market. Among other things, the designers recorded the thickness of each recording device (in millimeters),

x

, and its maximum recording length (in minutes),

y

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

y = 38.572x - 547.635

\newline

Complete the following sentence:

\newline

The least squares regression line predicts that, for each additional millimeter of thickness, a device can record

\_\_

additional minutes.

Identify coefficient of $x$ : Identify the coefficient of $x$ in the regression equation to determine the change in recording length per millimeter of thickness increase.

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