Question

the scatter plot and line of best fit below show the length of 10 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 femur length for someone with a height of 250 cm?answerattempt 2 out of 2cmsubmit answer

Explanation:

Step1: Find the slope of the line

Use the formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(30,130)\) and \((x_2,y_2)=(40,154)\).

$$m=\frac{154 - 130}{40 - 30}=\frac{24}{10} = 2.4$$

Step2: Find the equation of the line

Use the point - slope form \(y - y_1=m(x - x_1)\). Using \((x_1,y_1)=(30,130)\) and \(m = 2.4\)

$$y-130=2.4(x - 30)$$

$$y-130=2.4x-72$$

$$y=2.4x + 58$$

Step3: Predict the femur length for \(x = 250\)

Substitute \(x = 250\) into the equation \(y=2.4x + 58\)

$$y=2.4\times250+58$$

$$y = 600+58$$

$$y=658$$

Answer:

\(658\)