The equation of the line is : Ŷ = -0.1667+0.5935X.
The estimated number of points that will be obtained if Tyler played for 40 minutes is 24 points
To obtain the location of the line of best fit, we wrote out the coordinates of the points on the graph :
(6, 10) ; (8, 18) ; (10, 17) ; (12, 20) ; (17, 21) ; (11, 23) ; (14, 25) ; (18, 30)
Using technology, we can estimate the line of best fit :
Using a linear regression solver :
Y :
6, 8, 10, 12, 17, 11, 14, 18
X:
10, 18, 17, 20, 21, 23, 25, 30
The equation of the regression line obtained is :
Ŷ = -0.1667+0.5935X
The Number of points of Tyler played for 40 minutes :
x = 40
Ŷ = -0.1667+0.5935(40)
Ŷ = 23.5733 = 24(nearest whole number).
The estimated number of points that will be obtained if Tyler played for 40 minutes is 24 points.
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