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The Accompanying Table Shows the Regression Results When Estimating Y

question 65

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The accompanying table shows the regression results when estimating y = β0 + β1x1 + β2x2 + β3x3 + ε. The accompanying table shows the regression results when estimating y = β<sub>0</sub> + β<sub>1</sub>x<sub>1</sub> + β<sub>2</sub>x<sub>2</sub> + β<sub>3</sub>x<sub>3</sub> + ε.   When testing whether or not x<sub>1</sub> and x<sub>2</sub> have the same influence on y, the null hypothesis is ________. A)  H<sub>0</sub>: β<sub>1 </sub>= β<sub>2</sub> <sub> B)  </sub><sub>H</sub><sub>0</sub>: β<sub>1 </sub>≠ β<sub>2</sub> <sub> C)  </sub><sub>H</sub><sub>0</sub>: β<sub>1 </sub>+ β<sub>2 </sub>= β<sub>3</sub> <sub> D)  </sub><sub>H</sub><sub>0</sub>: β<sub>1 </sub>+ β<sub>2 </sub>= 0 When testing whether or not x1 and x2 have the same influence on y, the null hypothesis is ________.


Definitions:

Continuous Variable

A type of variable that can take an infinite number of values within a given range.

Categorical Variable

A variable that can take on a limited, and usually fixed, number of possible values, grouping individuals into categories.

Random Group Assignment

A method in experimental design to ensure every participant has an equal chance of being assigned to any group, thus minimizing preexisting differences between those assigned to different groups.

Construct

An abstract concept that is specifically chosen or created to explain a given phenomenon.

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