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 231 cm?

Question

Accepted Answer

# Explanation:
## Step1: Find the slope of the line
The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Using the points $(60,203)$ and $(63,210)$, we have $m=\frac{210 - 203}{63 - 60}=\frac{7}{3}$.
## Step2: Use the point - slope form $y - y_1=m(x - x_1)$
Using the point $(60,203)$ and $m = \frac{7}{3}$, the equation is $y-203=\frac{7}{3}(x - 60)$.
## Step3: Simplify the equation
$$
\begin{align*}
y-203&=\frac{7}{3}x-140\
y&=\frac{7}{3}x + 63
\end{align*}
$$
## Step4: Substitute $y = 231$ into the equation
$$
\begin{align*}
231&=\frac{7}{3}x+63\
231 - 63&=\frac{7}{3}x\
168&=\frac{7}{3}x\
x&=168\times\frac{3}{7}\
x&=72
\end{align*}
$$

# Answer:
$72$

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QUESTION IMAGE

Question

Explanation:

Step1: Find the slope of the line

Step2: Use the point - slope form \(y - y_1=m(x - x_1)\)

Step3: Simplify the equation

Step4: Substitute \(y = 231\) into the equation

Answer: