Suppose That the Sample Regression Line of a First Order $= 8 + 2 x _ { 1 } + 3 x _ { 2 }$

question 35

Multiple Choice

Suppose that the sample regression line of a first order model is $= 8 + 2 x _ { 1 } + 3 x _ { 2 }$ . If we examine the relationship between y and $x _ { 1 }$ for four different values of $x _ { 2 }$ , we observe that the:

• A) effect of x \(1\) on y remains the same no matter what the value of x \(2\) .
• B) effect of x \(1\) on y remains the same no matter what the value of x \(1\) .
• C) only difference in the four equations produced is the coefficient of x \(2\) .
• D) None of these choices are correct.

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Definitions:

Two-factor ANOVA

A statistical method used to analyze the effects of two independent variables on a single continuous dependent variable, allowing interaction effects to be studied.

Randomized Block Design

A statistical design for experiments that aims to reduce variation by grouping subjects that are similar into blocks before randomly assigning treatments.

Extraneous Factors

Variables that affect the outcome of an experiment, though they are not the variables being studied.

Quantitative Populations

Groups or sets of entities or individuals that can be measured numerically, focusing on measurable quantities over qualitative attributes.