For the Following Data Set, Compute the Coefficient of Determination $\begin{array} { l | l l l l l l } x & 8 & 6 & 3 & 2 & 10 & 4 \\\hline y & 21 & 24 & 20 & 33 & 27 & 27\end{array}$

question 14

Multiple Choice

For the following data set, compute the coefficient of determination.
$\begin{array} { l | l l l l l l } x & 8 & 6 & 3 & 2 & 10 & 4 \\\hline y & 21 & 24 & 20 & 33 & 27 & 27\end{array}$

• A) 0.272
• B) 0.728
• C) 0.074
• D) 0.926

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Definitions:

Correlation Coefficient

The correlation coefficient is a statistical measure that calculates the strength and direction of a linear relationship between two variables.

Stepwise Regression

A method of regression analysis that involves automatic selection of independent variables to use in a model based on certain criteria.

Backward Elimination

A stepwise regression technique where all predictors are included in the model initially, and then the least significant predictor is removed step-by-step until the best model is identified.

Forward Selection

A stepwise approach in model selection where variables are added one by one based on their statistical significance.