Question

payton collected data to show the relationship between the number of hours he practices and the number of errors he makes when playing a new piece of music. the table shows his data. practice makes better number of hours 1 2 3 4 5 6 7 8 number of errors 36 34 30 31 23 16 11 5 which is the approximate slope of the line of best fit for the data? -5.5 -4.5 -2.0 -1.0

Explanation:

Step1: Select two points

Let's take the first point \((x_1,y_1)=(1,36)\) and the last point \((x_2,y_2)=(8,5)\)

Step2: Use the slope formula

The slope formula is \(m = \frac{y_2 - y_1}{x_2 - x_1}\)
Substitute the values: \(m=\frac{5 - 36}{8 - 1}=\frac{- 31}{7}\approx - 4.43\approx - 4.5\)

Answer:

-4.5