For the Following Regression Equation $\tilde { y } = 50 + 10 x _ { 1 } - 4 x _ { 2 } - 6 x _ { 1 } x _ { 2 }$

question 75

Multiple Choice

For the following regression equation $\tilde { y } = 50 + 10 x _ { 1 } - 4 x _ { 2 } - 6 x _ { 1 } x _ { 2 }$ ,a unit increase in x₂,while holding x₁ constant at a value of 3,decreases the value of y on average by:

• A) 22
• B) 50
• C) 56
• D) An amount that depends on the value of x₂

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Definitions:

α

In statistics, α (alpha) typically represents the level of significance, the probability of rejecting the null hypothesis when it is actually true.

Null Hypothesis

A hypothesis that assumes no statistical significance exists in a set of given observations and that any observed difference is due to chance.

T = 1.965

A specific value often used in statistical analysis, particularly in hypothesis testing, where it represents a critical value in a t-distribution.

Critical Value

A point on the test distribution that is compared with the test statistic to decide whether to reject the null hypothesis.