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Read the following description of a data set. $\newline$ A botanist at a university is studying oak trees and the acorns they produce. He collected several acorns from the same tree and measured them.For each acorn, he recorded its volume (in cubic centimeters), $x$ , and its weight (in grams), $y$ .The least squares regression line of this data set is: $y = 2.438x - 2.933$ $\newline$ Complete the following sentence: $\newline$ For each additional cubic centimeter of acorn volume, the least squares regression line predicts that it would weigh $\_\_$ grams more.

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Interpret regression lines

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Q. Read the following description of a data set.

\newline

A botanist at a university is studying oak trees and the acorns they produce. He collected several acorns from the same tree and measured them.For each acorn, he recorded its volume (in cubic centimeters),

x

, and its weight (in grams),

y

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

y = 2.438x - 2.933

\newline

Complete the following sentence:

\newline

For each additional cubic centimeter of acorn volume, the least squares regression line predicts that it would weigh

\_\_

grams more.

Analyze equation: Analyze the given regression equation $y = 2.438x - 2.933$ . Here, the coefficient of $x$ , which is $2.438$ , represents the slope of the line.
Interpret slope: Interpret the slope: The slope of $2.438$ means that for each one cubic centimeter increase in the volume of an acorn, the weight of the acorn increases by $2.438$ grams.

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