Question

the scatter plot and line of best fit below show the length of 12 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 72 cm? unit 3 review (2days) due: september 13 at 8:00 am grade: 69% percents two - way tables create scatter plot from data table interpret line of best fit prediction from line of best fit association/correlation (scatter plot) strength of linear relationships answer attempt 1 out of 2 cm

Explanation:

Step1: Find the slope

The two - point formula for slope $m=\frac{y_2 - y_1}{x_2 - x_1}$. Using the points $(60,196)$ and $(63,203)$, we have $m=\frac{203 - 196}{63 - 60}=\frac{7}{3}$.

Step2: Find the y - intercept

Use the point - slope form $y - y_1=m(x - x_1)$ with the point $(60,196)$. So $y-196=\frac{7}{3}(x - 60)$. Expand to get $y-196=\frac{7}{3}x-140$, then $y=\frac{7}{3}x + 56$.

Step3: Make the prediction

Substitute $x = 72$ into the equation $y=\frac{7}{3}\times72+56$. First, $\frac{7}{3}\times72 = 168$, then $168+56=224$.

Answer:

224