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 (0, 0) and (6, 8).

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting the values, we have $m=\frac{8 - 0}{6 - 0}=\frac{4}{3}$.

Step3: Use the slope - intercept form $y=mx + b$

Since the line passes through the origin $(0,0)$, the y - intercept $b = 0$.
The equation of the line is $y=\frac{4}{3}x$.

Answer:

$y=\frac{4}{3}x$