The Arts and Religion Survey, 1999

Research Question: If we know the family income (D13), how often the respondent attended religious services growing up (Q120), and the number of children (Q14) that the respondent has, can we predict the number of times the respondent has imagined god (Q136A)?

Sources of Data: Arts and Religion Survey, CPANDA

Summary of Statistical Procedure: Multiple regression is used to determine the predictability of the dependent variable (Q136A), the amount of time spent imagining god.

Findings:
SDA 1.4: Regression

Arts and Religion Survey 1999 [United States]

Nov 05, 2006 (Sun 05:25 PM EST)
Variables
Role Name Label Range MD
Dependent Q136A Time imagining -- God 1-4
Independent D13 Income 1-9
Independent Q120 How often attend religious services growing up 1-6
Independent D14 Number of children 1-9 0,D
Regression Coefficients Test That Each Coefficient = 0

B SE(B) Beta SE(Beta) T-statistic Probability
D13 .010 .008 .033 .025 1.314 .190
Q120 .087 .015 .144 .026 5.632 .000
D14 -.002 .011 -.006 .026 -.231 .817
Constant 1.523 .060

25.394 .000
Color coding: <-2.0 <-1.0 <0.0 >0.0 >1.0 >2.0 T
Effect of each variable: Negative Positive
Multiple R = .148
R-Squared = .022
Std Error of Estimate = .731
Allocation of cases
Valid cases 1,514
Cases with invalid codes on
variables in the model
16
Total cases 1,530
t;CSM, UC Berkeley

Discussion of Findings: The multiple regression table shows a low correlation between the variables, making them not very useful for predicting the time spent imagining god. The regression formula is:

D13x.010 + Q120x.087 � D14x.002 + 1.523.

This means that if the respondent has an income of between $10,000 and $20,000 (D13=2), never attended religious services growing up (Q120=5), and has three children (D14=4), the respondent probably imagines god a little bit of the time (Q136A= 1.97. A little of the time = 2 in the variable list.

If the respondent has the same variables except they attended religious services every week growing up (Q120=1), the time spent trying to imagine god only increases to 1.62 - between frequnetly (Q136A=1) and a little bit of time (Q136A=2). I admit it would have been neat if this could have provided a reliable prediction.

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