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 (10, 10) and (60, 65).

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting the points $(x_1,y_1)=(10,10)$ and $(x_2,y_2)=(60,65)$ gives $m=\frac{65 - 10}{60 - 10}=\frac{55}{50}=1.1$.

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

Using the point $(10,10)$ and $m = 1.1$, we have $y-10=1.1(x - 10)$.

Step4: Simplify the equation

$y-10=1.1x-11$, then $y = 1.1x-1$.

Answer:

$y = 1.1x-1$