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 table with number of hours (1,2,3,4,5,6,7,8) and 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: Identify two points for slope calculation

We can use the first and last points for approximation. Let \( (x_1, y_1)=(1, 36) \) and \( (x_2, y_2)=(8, 5) \).

Step2: Apply 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