Question

10/20/2025 bellwork: draw the line of best fit and analyze the results
the table below shows the amount of time several student spent watching tv during the week
and their test grades.
hours spent watching tv: 5, 12, 18, 25, 30, 36, 45
grade (%): 79, 77, 60, 55, 43, 45, 26
find the slope of the line

Explanation:

Step1: Select two points

Let's choose \((5,79)\) and \((45,26)\)

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\)
Substitute \(x_1 = 5,y_1=79,x_2 = 45,y_2 = 26\)
\(m=\frac{26 - 79}{45 - 5}=\frac{-53}{40}=- 1.325\)

Answer:

The slope of the line is \(-1.325\)