In Order to Test the Significance of a Multiple Regression

question 99

True/False

In order to test the significance of a multiple regression model involving 4 independent variables and 30 observations, the number of degrees of freedom for the numerator and denominator for the critical value of F are 4 and 26, respectively.

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Definitions:

Null Hypothesis

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

Probability

A measure of the likelihood that an event will occur, quantified between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.

Null Hypothesis

A type of hypothesis used in statistics that suggests there is no significant difference or effect in a particular condition, serving as a default position until evidence suggests otherwise.

P < .05

A statistical threshold indicating that the probability of observing the obtained result, or more extreme, if the null hypothesis is true, is less than 5%.