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A data set shows the number of practice throws players in a basketball competition made and the number of free throws they made in a timed competition.

Practice throws

4

10

6

15

0

7

11

Free throws

8

23

9

34

5

11

27

 

Use technology to find the equation and coefficient of determination for each type of regression model. Use the number of practice throws for the input variable and the number of free throws for the output variable. Round all decimal values to three places.

Model

Equation of regression model

Coefficient of determination

Linear

 

 

Quadratic

 

 

Exponential (standard form)

 

 

 Oct 28, 2018
 #1
avatar+33603 
+2

Linear fit:

 

 Oct 28, 2018
 #2
avatar+33603 
+3

Quadratic fit:

 

 Oct 28, 2018
 #3
avatar+33603 
+3

Exponential fit:

 

 

Notice that, because the fit was done using the log of y, we need to use the log version to determine the coefficient of determination.

 Oct 28, 2018

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