The scatterplot shows the number of minutes Tyler played in his last eight basketball games and the points he
scored in each game. Estimate the location of the line of best fit. About howmany points would Tyler score if he
played for 40 minutes?

The scatterplot shows the number of minutes Tyler played in his last eight basketball games and the points he scored in each game Estimate the location of the l class=

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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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Answer:

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.

Step-by-step explanation: