Question

What is the equation of the trend line in the scatter plot?

Answer 1

Given:

The graph of a trend line.

To find:

The equation of the trend line.

Solution:

From the given graph it is clear that the trend line passes through the points (0,4) and (9,7). So, the equation of the trend line is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-4=\dfrac{7-4}{9-0}(x-0)$

$y-4=\dfrac{3}{9}(x)$

$y=\dfrac{1}{3}x+4$

Therefore, the equation of the trend line is $y=\dfrac{1}{3}x+4$.