Question

the equation for the line of best fit is ( y = 8.3x + 66 ). based on the equation, which of these statements is true? a cousin who is 12 years old would likely be about 166 centimeters tall. a cousin who is 11 years old would likely be about 130 centimeters tall.

Explanation:

Step1: Substitute \(x = 11\) into the equation \(y=8.3x + 66\)

When \(x = 11\), we have \(y=8.3\times11+66\).
First, calculate \(8.3\times11 = 91.3\).
Then, \(y=91.3+66=157.3\approx157
eq130\).

Step2: Substitute \(x = 12\) into the equation \(y = 8.3x+66\)

When \(x = 12\), we have \(y=8.3\times12 + 66\).
First, calculate \(8.3\times12=99.6\).
Then, \(y=99.6 + 66=165.6\approx166\).

Answer:

A cousin who is 12 years old would likely be about 166 centimeters tall.