Question

8 3 2. 4 15 Time Practiced (minutes) Points Scored Linear regression equation: Y = 0.082x + 10.952 120 21 a) Determine the predicted points scored if you practiced for 10 minutes. Round your answer to the nearest thousandth. 90 18 45 15 10 10 b) Determine the residual value of practicing for 10 minutes. What does it mean? 60 16 w 25 20 30 8 peaker notes 3:01 PM 10/27/2020 7 7

Answer 1

Given the linear regression equation expressed as:

Y = 0.082x + 10.952 where:

Y values are the time practised in minutes

x is the total points scored.

In order to determine the predicted points scored if you practiced for 10 minutes, we will simply substitute y = 10 into the equation and find the corresponding value of x as shown:

Y = 0.082x + 10.952

10 = 0.082x + 10.952

0.082x = 10-10.952

0.082x = -0.952

Divide both sides by 0.082

0.082x/0.082 = -0.952/0.082

x = -11.609

x = -11.610 (To nearest thousandth)

Hence the predicted points to the nearest thousandth is -11.610