Question

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

Explanation:

Step1: Find two points on the trend - line

We can choose the points (1,0) and (6,8).

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting $x_1 = 1,y_1 = 0,x_2=6,y_2 = 8$ gives $m=\frac{8 - 0}{6 - 1}=\frac{8}{5}=1.6$.

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

Using the point $(1,0)$ and $m = 1.6$, we have $y-0 = 1.6(x - 1)$.

Step4: Simplify the equation

$y=1.6x-1.6$.

Answer:

$y = 1.6x-1.6$