Asked by Shoshana Klempner on Jun 25, 2024

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In multiple regression,what does the parameter 2 measure?

A) The variability of the responses about the population regression equation
B) The degrees of freedom associated with s2
C) The subpopulation means
D) None of the above

Parameter

A parameter is a measurable attribute that helps to define the characteristics of a population or a function.

Population Regression Equation

An equation that describes the relationship between a dependent variable and one or more independent variables for an entire population.

Variability

Variability in statistics refers to how spread out or dispersed a set of data is, indicating the degree to which these data points differ from each other and from their average.

  • Gain insight into the basic concepts and practical applications of multiple linear regression analysis.
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KS
karmeet singhJul 02, 2024
Final Answer :
A
Explanation :
The parameter σ2 represents the residual standard error or the standard deviation of the error term. It measures the variability of the responses about the population regression equation. Therefore, option A is the correct answer. Option B is incorrect because it refers to the degrees of freedom associated with a different term. Option C is incorrect because it refers to the subpopulation means, which are not captured by this parameter. Option D is incorrect because A is the correct answer.