Question

the scatterplot shows data collected from 15 middle school boys regarding each persons height (in inches) and shoe size.
find a trend line that best models the data. use (45,5.5) as your starting point. if a drawing tool has been provided for you, you may use it to sketch your trend line.
which of the following is closest to the slope?
options: ( m = \frac{1}{10} ), ( m = \frac{1}{5} ), ( m = \frac{3}{10} ), ( m = \frac{2}{5} )

Explanation:

Step1: Select another point on the trend line

Let's assume another point on the trend - line. Looking at the scatter - plot (visually estimated), a point like \((70,9.5)\) can be chosen.

Step2: Use the slope formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\)

Here, \(x_1 = 45,y_1=5.5,x_2 = 70,y_2 = 9.5\).

$$m=\frac{9.5 - 5.5}{70 - 45}=\frac{4}{25}=0.16$$

Now, \(\frac{1}{10}=0.1\), \(\frac{3}{10}=0.3\), \(\frac{1}{5}=0.2\), \(\frac{2}{5}=0.4\)

Answer:

\(m=\frac{1}{5}\)