Question

Lukas collected data on years of employment and the annual salaries of the salespeople at Company Z. He made a scatter plot and drew a trend line that approximated the line of best fit for the data, as shown below. What is the slope of the trend line that Lukas drew?

Answer 1

Answer:

The slope is 2500

Step-by-step explanation:

Given

See attachment for scatter plot

Required

Determine the slope of the scatter plot

From the plot, we can pick the following 2 points:

$(x_1,y_1) = (9,55000)$

$(x_2,y_2) = (3,40000)$

The slope (m) is then calculated as:

$m = \frac{\triangle y}{\triangle x}$

This gives:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{40000-55000}{3-9}$

$m = \frac{-15000}{-6}$

$m = \frac{15000}{6}$

$m = 2500$

The slope is 2500