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 (20, 10) and (60, 60).

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting the values: $m=\frac{60 - 10}{60 - 20}=\frac{50}{40}=\frac{5}{4}=1.25$.

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

Using the point (20, 10) and $m = 1.25$, we have $y-10 = 1.25(x - 20)$.

Step4: Simplify the equation

$y-10=1.25x-25$. Then $y=1.25x - 15$.

Answer:

$y = 1.25x-15$