Question

question
the scatter plot and line of best fit below show the length of 10 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 66 cm?
answer attempt 1 out of 2
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Explanation:

Step1: Find the slope of the line

We use two points on the line \((30,127)\) and \((42,155)\). The slope \(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{155 - 127}{42 - 30}=\frac{28}{12}=\frac{7}{3}\).

Step2: Find the y - intercept

Using the point - slope form \(y - y_1=m(x - x_1)\) with the point \((30,127)\) and \(m = \frac{7}{3}\), we have \(y-127=\frac{7}{3}(x - 30)\). Expanding gives \(y-127=\frac{7}{3}x-70\), so \(y=\frac{7}{3}x + 57\).

Step3: Predict the height

Substitute \(x = 66\) into the equation \(y=\frac{7}{3}x+57\). Then \(y=\frac{7}{3}\times66 + 57=7\times22+57=154 + 57=211\).

Answer:

211