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Read the following description of a data set. $\newline$ A European apparel company wants to know how many T-shirts it should make in each size. The company hired a telephone survey firm to contact members of its target demographic.The survey recorded the height of each person (in centimeters), $x$ , and the number of T-shirts he or she owned, $y$ .The least squares regression line of this data set is: $y = 0.076x + 10.089$ $\newline$ Complete the following sentence: $\newline$ If a person were one centimeter taller, the least squares regression line predicts that he or she would own ___ additional T-shirts.

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Interpret regression lines

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Q. Read the following description of a data set.

\newline

A European apparel company wants to know how many T-shirts it should make in each size. The company hired a telephone survey firm to contact members of its target demographic.The survey recorded the height of each person (in centimeters),

x

, and the number of T-shirts he or she owned,

y

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

y = 0.076x + 10.089

\newline

Complete the following sentence:

\newline

If a person were one centimeter taller, the least squares regression line predicts that he or she would own ___ additional T-shirts.

Identify slope: Identify the slope of the least squares regression line. $\newline$ The equation given is $y = 0.076x + 10.089$ . The slope of the least squares regression line is the coefficient of $x$ , which is $0.076$ . This slope indicates the change in the number of T-shirts owned for each one centimeter increase in height.
Interpret slope: Interpret the slope. $\newline$ Since the slope is $0.076$ , this means that for each additional centimeter in height, the least squares regression line predicts that a person would own $0.076$ more T-shirts.

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