payton collected data to show the relationship between the number of hours he practices and the number of…

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\n|number of hours|1|2|3|4|5|6|7|8|\n|number of errors|36|34|30|31|23|16|11|5|\nwhich is the approximate slope of the line of best fit for the data?\n-5.5\n-4.5\n-2.0\n-1.0

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\n|number of hours|1|2|3|4|5|6|7|8|\n|number of errors|36|34|30|31|23|16|11|5|\nwhich is the approximate slope of the line of best fit for the data?\n-5.5\n-4.5\n-2.0\n-1.0

Answer

Explanation:

Step1: Recall slope formula

The slope formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. We can use two - point method for a rough estimate. Let's take the first point $(1,36)$ and the last point $(8,5)$.

Step2: Substitute values into formula

Here $x_1 = 1,y_1=36,x_2 = 8,y_2 = 5$. Then $m=\frac{5 - 36}{8 - 1}=\frac{- 31}{7}\approx - 4.43\approx - 4.5$.

Answer:

-4.5