Question

The scatter plot and line of best fit below show the length of 10 people's 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 54 cm?

Answer 1

The height for someone with a femur length of 54 cm is 183 cm

How to predict height for someone with a femur length of 54 cm?

From the question, we have the following parameters that can be used in our computation:

The scatter plot

From the line of fit on the scatter plot, we have

(33, 134) and (42, 155)

The slope (m) of the line is

m = (155 - 134)/(42 - 33)

m = 2.33

A linear equation is represented as

y = mx + c

So, we have

y = 2.33x + c

Using the point (33, 134), we have

2.33 * 33 + c = 134

76.89 + c = 134

c = 134 - 76.89

c = 57.11

So, we have

y = 2.33x + 57.11

Predicting height for someone with a femur length of 54 cm, we have

y = 2.33 * 54 + 57.11

y = 182.93

Approximate

y = 183

Hence, the height is 183 cm