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. A 2-row table with 9 columns. The first row is labeled number of hours with entries 1, 2, 3, 4, 5, 6, 7, 8. The second row is labeled number of errors with entries 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

The approximate value of the line of best fit which is the ratio of the change in y and the change in x axis from the options given is -4.5.

The slope of the line of best fit can be determined using the following pair of points :

(1, 36) and (8, 5)

x1 = 1 ; x2 = 8 ; y1 = 36 ; y2 = 5

The slope is defined thus :

Slope = (y2 - y1) ÷ (x2 - x1)

Substituting the values into the equation :

Slope = (5 - 36) ÷ (8 - 1)

Slope = -31 ÷ 7

Slope = - 4.428

Therefore, the nearest option from the options given is - 4.5. Hence, the approximate value of slope the best fit line is - 4.5

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