Suppose the Variable X2 Has Been Omitted from the Following

question 18

Multiple Choice

Suppose the variable x2 has been omitted from the following regression equation, is the estimator obtained when is omitted from the equation. The bias in is positive if _____.

• A) >0 and and are positively correlated
• B) <0 and and are positively correlated
• C) >0 and and are negatively correlated
• D) = 0 and and are negatively correlated

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Definitions:

ANOVA Table

A tabular representation used to summarize the sources of variance in a data set, facilitating the analysis of variance (ANOVA) to test the differences between group means.

Significance Level

The threshold for determining whether a statistical result is likely due to chance or represents a real effect.

Factorial Experiment

An experimental design in which the effects of two or more variables are measured simultaneously.

Normally Distributed

Refers to a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.