In a Multiple Regression Problem Involving Two Independent Variables, If

question 52

Multiple Choice

In a multiple regression problem involving two independent variables, if b₁ is computed to be +2.0, it means that:

• A) the relationship between X₁ and Y is significant.
• B) the estimated value of Y increases by an average of 2 units for each increase of 1 unit of X₁, holding X₂ constant.
• C) the estimated value of Y increases by an average of 2 units for each increase of 1 unit of X₁, without regard to X₂.
• D) the estimated average value of Y is 2 when X₁ equals zero.

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Definitions:

Random Variable

A variable whose outcomes depend on the results of a random phenomenon.

Normally Distributed

Refers to a data distribution that follows a bell-shaped curve, characterized by data clustering around a mean or central value.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values; a low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.

Uniformly Distributed

Describes a distribution in which all outcomes are equally likely, showing no preference for any interval of values within the range of the distribution.