Asked by Marie Blanch on Jul 22, 2024

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A multiple regression model has the estimated form A multiple regression model has the estimated form   = 10 - 11x + 15w - 4q ​ As x increases by 1 unit (holding w and q constant) , y is expected to A)  increase by 10 units. B)  decrease by 10 units. C)  increase by 15 units. D)  decrease by 11 units. = 10 - 11x + 15w - 4q ​
As x increases by 1 unit (holding w and q constant) , y is expected to

A) increase by 10 units.
B) decrease by 10 units.
C) increase by 15 units.
D) decrease by 11 units.

Multiple Regression Model

A technique in statistics used to determine how a dependent variable is influenced by two or more independent variables.

Independent Variables

Elements within a model or an experiment that are intentionally modified to gauge their influence on variables that depend on them.

Units

Basic quantities or entities used to express measurements, counts, or in some contexts, the objects of study.

  • Understanding the influence of independent variables on the dependent variable through the analysis of regression coefficients.
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AT
Akane TsunemoriJul 26, 2024
Final Answer :
D
Explanation :
As x increases by 1 unit (holding w and q constant), the coefficient for x is -11, indicating that y is expected to decrease by 11 units. The intercept term of 10 is not relevant to changes in x. Changes in w and q are also not specified in the question.