When an Additional Explanatory Variable Is Introduced into a Multiple

question 73

True/False

When an additional explanatory variable is introduced into a multiple regression model, coefficient of multiple determination adjusted for degrees of freedom can never decrease.

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Definitions:

\(( n + 6 ) !\)

A notation indicating the factorial of n plus 6, meaning the product of all positive integers up to n+6.

\(( n + 3 ) !\)

Denotes the factorial of the sum of a variable n and 3, representing the product of all positive integers up to and including (n+3).

\(n !\)

Denotes the factorial of n, which is the product of all positive integers less than or equal to n.

\(- 5^n\)

Represents an exponential expression where \(-5\) is the base and \(n\) is the exponent, indicating \(-5\) raised to the power of \(n\).