Asked by angela vidal on May 26, 2024

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In multiple regression analysis involving 10 independent variables and 100 observations, the critical value of t for testing individual coefficients in the model will have:

A) 100 degrees of freedom
B) 10 degrees of freedom
C) 99 degrees of freedom
D) 89 degrees of freedom
E) 9 degrees of freedom

Independent Variables

The variables that are manipulated or categorised to determine their effect on the dependent variable in an experiment.

Observations

Data collected during an experiment or research that are analyzed to draw conclusions.

Critical Value

A predetermined point on the distribution of a test statistic at which the null hypothesis is rejected if exceeded.

  • Perform and clarify the process of hypothesis testing in association with multiple regression analysis.
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ZK
Zybrea KnightJun 01, 2024
Final Answer :
D
Explanation :
The correct degrees of freedom for testing individual coefficients in a multiple regression model is calculated as the number of observations minus the number of parameters being estimated (including the intercept). Therefore, with 100 observations and 10 independent variables plus an intercept, the degrees of freedom would be 100 - (10 + 1) = 89.