Based on the Following Regression Output, What Proportion of the Total

question 59

Multiple Choice

Based on the following regression output, what proportion of the total variation in Y is explained by X? $\begin{array}{|l|r|l|l|l|l|}\hline {\text { Regression Statistics }} & & & & \\\hline \text { Multiple R } & 0.917214 & & & & \\\hline \text { R Square } & 0.841282 & & & & \\\hline \text { Adjusted R Square } & 0.821442 & & & & \\\hline \text { Standard Error } & 9.385572 & & & & \\\hline \text { Observations } & 10 & & & & \\\hline & & & & & \\\hline\text { ANOVA } & & & & & \\ \hline &\text { df } & \text { SS } & \text { MS } & F & \text { Significance F } \\\hline \text { Regression } & 1 & 3735.306 & 3735.306 & 42.40379 & 0.000186 \\\hline \text { Residual } & 8 & 704.7117 & 88.08896 & & \\\hline \text { Total } & 9 & 4440.017 & & & \\\hline & & & & & \\\hline & \text { Coefficients } & \text { Standard Error } & t \text { Stat } & \text { P-value } & \text { Lower 95\% } \\\hline \text { Intercept } & 31.62378 & 10.44297 & 3.028236 & 0.016353 & 7.542233 \\\hline \text { X Variable 1 } & 1.131661 & 0.173786 & 6.511819 & 0.000186 & 0.73091\\\hline\end{array}$

• A) 0.917214
• B) 0.841282
• C) 0.821442
• D) 9.385572

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Definitions:

Natural-Kinds

Categories of objects and entities in the world that are thought to reflect a natural order, often discussed in philosophy and cognitive science.

Social-Kinds

Categories into which social entities are divided into based on shared Characteristics or attributes, often used in discussions of social taxonomy and identity.

Similarity-Based Approach

A method or strategy used in various fields, including psychology and computer science, that emphasizes analyzing and organizing items based on their similarities.

Knowledge-Based

Relating to systems or approaches that utilize a large repository of knowledge to solve problems or make decisions.