Question

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

Explanation:

Step1: Estimate two points on trend - line

Let's take two points approximately on the trend - line: (20, 30) and (60, 80).

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting the points: $m=\frac{80 - 30}{60 - 20}=\frac{50}{40}=\frac{5}{4}=1.25$.

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

Using the point (20, 30) and $m = 1.25$, we have $y-30 = 1.25(x - 20)$.

Step4: Expand to slope - intercept form

$y-30=1.25x-25$, so $y = 1.25x + 5$.

Answer:

$y = 1.25x+5$