Question

the scatter plot and line of best fit below show the length of 12 peoples femur (the long leg bone in the thigh) and their height in centimeters. based on the line of best fit, what would be the predicted height for someone with a femur length of 66 cm?

Explanation:

Step1: Find the slope of the line of best fit

We have two points on the line: \((60, 198)\) and \((63, 205)\). The slope \(m\) is calculated as \(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{205 - 198}{63 - 60}=\frac{7}{3}\).

Step2: Use the point - slope form to find the equation of the line

Using the point \((60, 198)\) and the slope \(m = \frac{7}{3}\), the point - slope form is \(y - y_1=m(x - x_1)\). So \(y-198=\frac{7}{3}(x - 60)\).

Step3: Predict the height for \(x = 66\)

Substitute \(x = 66\) into the equation:

$$
LATEXBLOCK0
$$

Answer:

The predicted height is \(212\) centimeters.