In a Simple Linear Regression Model, If R² Is 0

question 207

True/False

In a simple linear regression model, if r² is 0.75, then 75% of the variation in the dependent variable y can be explained by the regression line, on the independent variable x.

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Definitions:

Chi-Square Statistic

A statistical measure used in tests of independence to analyze the frequency distribution of observed data versus an expected data set.

Null Hypothesis

A hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling or experimental error.

Sample Data

A subset of data collected from a larger population, used to analyze and make inferences about that population.

Analysis Of Variance

A statistical method used to compare and analyze the differences among group means in a sample.