The line of best fit is used to illustrate a scatter plot
The predicted femur length is 80 cm
The points of the line of best fit are represented as:
(x,y) = (30,126) (40,150) (50,174)
Start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{150 - 126}{40 -30}[/tex]
[tex]m = \frac{24}{10}[/tex]
[tex]m = 2.4[/tex]
The equation of the line of best fit is then calculated as:
[tex]y = m(x -x_1) + y_1[/tex]
So, we have:
[tex]y = 2.4(x -30) + 126[/tex]
[tex]y = 2.4x -72 + 126[/tex]
[tex]y = 2.4x +54[/tex]
When the height is 246 cm, we have:
[tex]246 = 2.4x +54[/tex]
Subtract 54 from both sides
[tex]2.4x = 192[/tex]
Solve for x
[tex]x = 80[/tex]
Hence, the predicted femur length is 80 cm
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