Use this multiple regression table to answer the series of questions below.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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Use this multiple regression table to answer the series of questions below.

 

Self-Reported Depression1 among Older American Adults (N = 1,946)

 

Model 1

Model 2

Variables

b (se)

Beta

b (se)

Beta

Drinking

 

 

 

 

Problems with drinking

(0= little to no problems with drinking to 4= serious problems with alcohol)

.599 (.118)

.117***

.429 (.108)

.084***

Socio-Demographics

 

 

 

 

Gender

(Male =1)

-.815 (.221)

-.087***

-.553 (.203)

-.059**

Race/Ethnicity

(White = 1)

-1.105 (.250)

-.099***

-.088 (.239)

-.008

Marital Status

(Married = 1)

-.894 (.233)

-.091***

-.352 (.225)

-.036

Age (57 - 85 years old)

.029 (.014)

.048*

-.026 (.014)

-.043

 

 

 

 

 

Socio-Economic Indicators

Income (1 = 0-24,999 to

4 = 100k or higher)

 

 

 

-.612 (.121)

 

-.133***

Education (1 = less than High school to 4 = Bachelors or more)

 

 

-.238 (.108)

-.053*

Employment Status (Employed = 1)

 

 

-.548 (.224)

-.055*

Health

 

 

 

 

Physical Health

(1 = Poor to 5 = Excellent)

 

 

-1.410 (.094)

-.329***

 

Intercept

 

3.375

 

13.914

R2

.042

.203

1Self-Reported Depression ranges from 0 to 30, with higher scores reflecting more depressive symptoms. *p<0.05; **p<0.01; ***p<0.001

 

  1. Who is the population?
  2. What is the sample size?
  3. What is the dependent variable?
  4. In the full model, Model 2, what variables are significantly related to the dependent variable?
  5. At what point does the regression line hit the y axis in Model 2?
  6. What is the direction of the relationship between problems with drinking and depression? In other words, is it positive, negative, or nonexistent?
  7. Interpret the partial slope of problems with drinking in a sentence for Model 1.
  8. What percentage of the variance in depression do all of the independent variables together explain?
  9. Which variable is the strongest predictor of depression? How do you know?
  10. When the socioeconomic (SES) and health variables are added in Model 2, is there evidence that they mediate the relationship between race/ethnicity and depression? How do you know?
  11. For Model 1, what score on depression would you predict for a non-white, unmarried male who is 75 years old and has a score of 2 for problems with drinking?

    

 

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Follow-up Question

Use this multiple regression table to answer the series of questions below.

 

Self-Reported Depression1 among Older American Adults (N = 1,946)

 

Model 1

Model 2

Variables

b (se)

Beta

b (se)

Beta

Drinking

 

 

 

 

Problems with drinking

(0= little to no problems with drinking to 4= serious problems with alcohol)

.599 (.118)

.117***

.429 (.108)

.084***

Socio-Demographics

 

 

 

 

Gender

(Male =1)

-.815 (.221)

-.087***

-.553 (.203)

-.059**

Race/Ethnicity

(White = 1)

-1.105 (.250)

-.099***

-.088 (.239)

-.008

Marital Status

(Married = 1)

-.894 (.233)

-.091***

-.352 (.225)

-.036

Age (57 - 85 years old)

.029 (.014)

.048*

-.026 (.014)

-.043

 

 

 

 

 

Socio-Economic Indicators

Income (1 = 0-24,999 to

4 = 100k or higher)

 

 

 

-.612 (.121)

 

-.133***

Education (1 = less than High school to 4 = Bachelors or more)

 

 

-.238 (.108)

-.053*

Employment Status (Employed = 1)

 

 

-.548 (.224)

-.055*

Health

 

 

 

 

Physical Health

(1 = Poor to 5 = Excellent)

 

 

-1.410 (.094)

-.329***

 

Intercept

 

3.375

 

13.914

R2

.042

.203

1Self-Reported Depression ranges from 0 to 30, with higher scores reflecting more depressive symptoms. *p<0.05; **p<0.01; ***p<0.001

  1. In the full model, Model 2, what variables are significantly related to the dependent variable?
  2. At what point does the regression line hit the y axis in Model 2?
  3. What is the direction of the relationship between problems with drinking and depression? In other words, is it positive, negative, or nonexistent?
  4. Interpret the partial slope of problems with drinking in a sentence for Model 1.
  5. What percentage of the variance in depression do all of the independent variables together explain?
  6. Which variable is the strongest predictor of depression? How do you know?
  7. When the socioeconomic (SES) and health variables are added in Model 2, is there evidence that they mediate the relationship between race/ethnicity and depression? How do you know?
  8. For Model 1, what score on depression would you predict for a non-white, unmarried male who is 75 years old and has a score of 2 for problems with drinking?
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