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 \((3,0)\) and \((6,8.5)\)

Step2: Calculate the slope \(m\)

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\)
Substitute \(x_1 = 3,y_1=0,x_2 = 6,y_2 = 8.5\)
\(m=\frac{8.5-0}{6 - 3}=\frac{8.5}{3}\approx\frac{17}{6}\)

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

Using the point \((3,0)\) and \(m=\frac{17}{6}\)
\(y-0=\frac{17}{6}(x - 3)\)
\(y=\frac{17}{6}x-\frac{17}{2}\)
\(y=\frac{17}{6}x - 8.5\)

Answer:

\(y=\frac{17}{6}x-8.5\)