Consider a Regression in Which B₂ = -1

question 1

True/False

Consider a regression in which b₂ = -1.5 and the standard error of this coefficient equals 0.3. To determine whether X₂ is a significant explanatory variable, you would compute an observed t-value of -5.0.

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Definitions:

Dependent Variable

The outcome variable in an experiment or study whose changes are dependent on manipulations made to the independent variable(s).

Type II Error

The error that occurs when a statistical test fails to reject a false null hypothesis—essentially, a false negative.

Null Hypothesis

A hypothesis that suggests there is no significant difference or relationship between specified groups or variables, serving as a default position until evidence suggests otherwise.

Sampling Error

The error that occurs due to selecting a sample instead of conducting a census of the entire population, leading to discrepancies between the sample and population parameters.