Interpret the partial slope of problems with drinking in a sentence for Model 1. What percentage of the variance in depression do all of the independent variables toge

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. Interpret the partial slope of problems with drinking in a sentence for Model 1.
  2. What percentage of the variance in depression do all of the independent variables together explain?
  3. Which variable is the strongest predictor of depression? How do you know?
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