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The Accompanying Table Shows the Regression Results When Estimating Y

question 30

Multiple Choice

The accompanying table shows the regression results when estimating y = β0 + β1x1 + β2x2 + β3x3 + ε. The accompanying table shows the regression results when estimating y = β<sub>0</sub> + β<sub>1</sub>x<sub>1</sub> + β<sub>2</sub>x<sub>2</sub> + β<sub>3</sub>x<sub>3</sub> + ε. When testing whether or not x<sub>1</sub> and x<sub>2</sub> are jointly significant, the null hypothesis is ________. A) H<sub>0</sub>: β<sub>1</sub> = β<sub>2</sub> <sub> B) </sub>H<sub>0</sub>: β<sub>1</sub> ≠ β<sub>2</sub> <sub> C) </sub>H<sub>0</sub>: β<sub>1</sub> + β<sub>2 </sub>= 0 D) H<sub>0</sub>: β<sub>1</sub> = β<sub>2 </sub>= 0 When testing whether or not x1 and x2 are jointly significant, the null hypothesis is ________.

Definitions:

Independent Variables

Refers to the inputs or predictors in a statistical model that are manipulated or selected by the researcher to determine their effect on the dependent variable.

COV

A measure of relative variability computed as the standard deviation divided by the mean; also known as the coefficient of variation.

Independent Variables

Variables in a statistical model that are presumed to influence or predict the outcome of a dependent variable.

Variances

Statistical measures reflecting the dispersion or spread of a set of data points or how far each value in the set is from the mean.

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