In a Simple Linear Regression Model, Testing Whether the Slope

question 12

True/False

In a simple linear regression model, testing whether the slope of the population regression line could be 0 is the same as testing whether or not the population coefficient of correlation equals 0.

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Definitions:

Regression Line

A line through a scatter plot of data points that best expresses the relationship between those points, typically used in linear regression.

Coefficient Of Determination

The coefficient of determination, denoted as R², measures the proportion of the variance in the dependent variable that is predictable from the independent variables in a regression model.

Coefficient Of Correlation

A mathematical metric that determines both the magnitude and trend of the association between two factors.

Coefficient Of Correlation

A measure that determines the strength and direction of a linear relationship between two variables, typically denoted as 'r'.