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

The slope is 2500

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 = (\triangle y)/(\triangle x)`

This gives:

`m = (y_2 - y_1)/(x_2 - x_1)`

`m = (40000-55000)/(3-9)`

`m = (-15000)/(-6)`

`m = (15000)/(6)`

`m = 2500`

The slope is 2500