Question

scatter plots: line of best fit rm equation of the trend line of eac ② y 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 0 1 2 3 4 5 6 7 8 9 10 x equation of the trend line:

Explanation:

Step1: Find two points on the trend line

We can choose two points on the line. Let's say \((0,11)\) and \((9,23)\) (approximate points based on the graph).

Step2: Calculate the slope \(m\)

The formula for slope is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Substituting the values: \(m=\frac{23 - 11}{9 - 0}=\frac{12}{9}=\frac{4}{3}\).

Step3: Use the slope - intercept form \(y = mx + b\)

We know that when \(x = 0\), \(y=b\). From the point \((0,11)\), \(b = 11\).

Step4: Write the equation

Substituting \(m=\frac{4}{3}\) and \(b = 11\) into \(y=mx + b\), we get \(y=\frac{4}{3}x+11\).

Answer:

\(y=\frac{4}{3}x + 11\)