Question

Total points in a board game based on the average number of hours played is predicted using the least-square regression line, 9 = 280.3 + 85.7x, where y
represents the total points scored and x represents the average number of hours spent playing the game. A player plays the game for an average of 3 hours
and has a point total of 550. What is the residual for the player?
O 3.15
03
0-126
0-3.15
O 12.6

Answer 1

Using the line of best-fit, it is found that the residual for the player is of 12.6.

What is the residual for a line of best-fit?

A residual is given by the difference between the observed point and the predicted point.

In this problem, the expected score over x hours is given by:

f(x) = 280.3 + 85.7x.

Hence, for 3 hours, the predicted score is given by:

f(3) = 280.3 + 85.7 x 3 = 537.4.

The observed score was of 550, hence the residual is given by:
R = 550 - 537.4 = 12.6.

More can be learned about residuals at brainly.com/question/22507107

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