The scatter plot and line of best fit below show the length of 12 people's femur (thelong leg bone in the thigh) and their height in centimeters. Based on the line of besfit, what would be the predicted height for someone with a femur length of 72 cm?Answer: ____ cm.

The scatter plot and line of best fit below show the length of 12 peoples femur thelong leg bone in the thigh and their height in centimeters Based on the line class=


Answer :

Answer:

230

Explanation:

First, we find the equation fo the line point-slope form.

The slope of the line is

[tex]m=\frac{209-202}{63-60}=\frac{7}{3}[/tex]

With the slope of the line in hand, we now write the point-slope form of the equation using the point (63, 209)

[tex]y-209=\frac{7}{3}(x-63)[/tex]

With the equation of the line in hand, we now use it to find the value of y at x = 72.

Putting in x = 72 in the above equation gives

[tex]y-209=\frac{7}{3}(72-63)[/tex][tex]y-209=\frac{7}{3}\cdot9[/tex][tex]y-209=21[/tex]

adding 209 to both sides gives

[tex]y=230[/tex]

which is our answer!

Hence, the predicted height for someone with a femur length of 72 cm is 230 cm.

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