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<u>Answer-</u>
<em>The </em><em>exponential model</em><em> best fits the data set.</em>
<u>Solution-</u>
x = input variable = number of practice throws
y = output variable = number of free throws
Using Excel, Linear, Quadratic and Exponential regression model were generated.
The best fit equation and co-efficient of determination R² are as follows,
<u>Linear Regression</u>
<u>Quadratic Regression</u>
<u>Exponential Regression</u>
The value of co-efficient of determination R² ranges from 0 to 1, the more closer its value to 1 the better the regression model is.
Now,
Therefore, the Exponential Regression model must be followed.
When given a value of the variable, we replace each instance of the variable in the problem with that number. In this case, the expression becomes:
After this, we merely need to simplify the answer.
Simplifying 12/2 gives us the answer 6.