Question

the scatter plot and line of best fit below show the length of 14 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? answer attempt 1 out of 2 cm submit answer

Explanation:

Step1: Find the slope of the line of best fit

Use the formula for slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Take two points \((30,135)\) and \((42,163)\).
\(m=\frac{163 - 135}{42 - 30}=\frac{28}{12}=\frac{7}{3}\)

Step2: Use the point - slope form \(y - y_1=m(x - x_1)\)

Use the point \((30,135)\) and \(m = \frac{7}{3}\). The equation is \(y-135=\frac{7}{3}(x - 30)\)
Expand: \(y-135=\frac{7}{3}x-70\)
Then \(y=\frac{7}{3}x + 65\)

Step3: Substitute \(x = 66\) into the equation

\(y=\frac{7}{3}\times66+65\)
\(y = 154+65\)

Answer:

\(219\)