Question

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

Explanation:

Step1: Find two points on the trend - line

Let's take the points (3, 2) and (6, 7).

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting the points, we have $m=\frac{7 - 2}{6 - 3}=\frac{5}{3}$.

Step3: Use the point - slope form $y - y_1=m(x - x_1)$

Using the point (3, 2) and $m = \frac{5}{3}$, we get $y - 2=\frac{5}{3}(x - 3)$.

Step4: Simplify to slope - intercept form $y=mx + b$

$y-2=\frac{5}{3}x-5$, then $y=\frac{5}{3}x - 3$.

Answer:

$y=\frac{5}{3}x - 3$