Question

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

Explanation:

Step1: Identify two points on the trend - line

Let's take the points (2, 1) and (7, 6).

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting $x_1 = 2,y_1 = 1,x_2 = 7,y_2 = 6$ gives $m=\frac{6 - 1}{7 - 2}=\frac{5}{5}=1$.

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

Using the point $(2,1)$ and $m = 1$, we have $y - 1=1\times(x - 2)$.

Step4: Simplify the equation

$y-1=x - 2$, so $y=x - 1$.

Answer:

$y=x - 1$