Question

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

Explanation:

Step1: Identify two points on the trend - line

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

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting $x_1 = 1,y_1 = 0,x_2=6,y_2 = 6$ gives $m=\frac{6 - 0}{6 - 1}=\frac{6}{5}=1.2$.

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

Using the point (1,0) and $m = 1.2$, we have $y-0 = 1.2(x - 1)$.

Step4: Simplify the equation

$y=1.2x-1.2$.

Answer:

$y = 1.2x-1.2$