A Multiple Regression Analysis Produced the Following Tables The Coefficient of Multiple Determination Is ____________

question 1

Multiple Choice

A multiple regression analysis produced the following tables. $$\begin{array} { | c | c | c | c | c | } \hline \text { Predictor } & \text { Coefficients } & \text { Stardard Error } & \boldsymbol { t } \text { Statistic } & p \text {-value } \\\hline \text { Irtercept } & - 139.609 & 2548.989 & - 0.05477 & 0.957154 \\\hline \boldsymbol { x } _ { 1 } & 24.24619 & 22.25267 & 1.089586 & \mathbf { 0 . 2 9 5 6 8 2 } \\\hline \mathbf { x } _ { 2 } & 32.10171 & 17.44559 & 1.840105 & 0.08869 \\\hline\end{array}$$ $$\begin{array} { | c | c | c | c | c | c | } \hline \text { Source } & \mathrm { df } & \text { SS } & \text { MS } & F & p \text {-value } \\\hline \text { Repression } & 2 & 302689 & 151344.5 & 1.705942 & 0.219838 \\\hline \text { Residual } & 13 & 1153309 & 88716.07 & & \\\hline \text { Total } & 15 & 1455998 & & & \\\hline\end{array}$$ The coefficient of multiple determination is ____________.

• A)0.2079
• B)0.0860
• C)0.5440
• D)0.7921
• E)0.5000

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Definitions:

Predicted Point

An estimated value derived from a statistical model indicating where a data point should fall based on the model's parameters.

Regression Line

A line drawn through a scatter plot of data points that best expresses the linear relationship between those points.

Direction

Refers to the course along which something moves or faces, often used in statistical analysis to describe trends.

Slope

The slope represents the rate of change between two variables on a graph, indicating how much one variable changes for a unit change in another variable.