In Regression Analysis, If the Coefficient of Correlation Is -1

question 185

Short Answer

In regression analysis, if the coefficient of correlation is -1.0, then: $\begin{array}{|l|l|}\hline A&\text {the sum of squares for error is -1.0 . }\\\hline B&\text {the sum of squares for regression is 1.0 . }\\\hline C&\text { the sum of squares for error and sum of squares for regressi on are equal.}\\\hline D&\text { the sum of squares for regression and total variation in \( y \) are equal.}\\\hline \end{array}$

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Definitions:

Simple Linear Regression

An analytical technique that utilizes a linear equation to depict the connection between a single independent variable and a dependent variable.

Independent Variables

Variables that are manipulated or controlled in an experiment to test the effects on dependent variables, without being influenced by other variables in the study.

Dependent Variables

Dependent variables are outcomes or responses whose changes are influenced by the manipulation of independent variables in an experimental setup.

Positively Related

A relationship between two variables in which they move in the same direction.