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Consider a regression study involving a dependent variable $y,$ a quantitative independentvariable $x_{1},$ and a categorical variable with two levels (level 1 and level 2$)$\begin{equation}\begin{array}{l}{\text { a. Write a multiple regression equation relating } x_{1} \text { and the categorical variable to } y \text { . }} \\ {\text { b. What is the expected value of } y \text { corresponding to level } 1 \text { of the categorical variable? }} \\ {\text { c. What is the expected value of } y \text { corresponding to level } 2 \text { of the categorical variable? }} \\ {\text { d. Interpret the parameters in your regression equation. }}\end{array}\end{equation}

a) $E(y)=\beta_{0}+\beta_{1} x_{1}+\beta_{2} x_{2}$b) $\beta_{0}+\beta_{1} x_{1}$c) $\beta_{0}+\beta_{1} \mathrm{x}_{1}+\beta_{2}$d) $\beta_{1}$ is the change in $\mathrm{E}(\mathrm{y})$ for a 1 -unit change in $x_{1},$ holding $x_{2}$ constant. $\beta_{2}$ is the change in $\mathrm{E}(\mathrm{y})$ for a 1 -unit change in $x_{2},$ holding $x_{1}$ constant.

Intro Stats / AP Statistics

Chapter 13

Multiple Regression

Descriptive Statistics

Linear Regression and Correlation

University of North Carolina at Chapel Hill

Piedmont College

Boston College

Lectures

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04:30

Use the data set in WAGE2 …

05:55

The following 20 observati…

01:44

Use the regression feature…

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20:40

Consider the following tab…

01:55

Confirm the partialling ou…

02:01

Why would a researcher pre…

01:26

Explain the similarities a…

01:21

01:54

Use your school's lib…

01:31

For the following exercise…

20:11

The following data resulte…

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In Example 1 on page 731, …

Okay, So the first part of this question is seeing how many dummy variables that required to represent the quality data and that could just be represented. But a nice one, just he just a bit regressions. Why be to plus B three de on finally, for us to interpret the parameters for dummy variables on the perimeters of the dummy variables, churches beat, too. Three. Describe the effects of the presence or absence of the predictive variable in the response variable. I think one values to

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