Question

Research Scenario: A community psychologist is interested in whether people’s self-reported degree of religious belief predicts their self-reported feelings of well-being. She administers two questionnaires to 17 individuals, one of which measures degree of religious beliefs (scores range from 1-20 with higher scores indicating higher degree of belief), and another which measures feelings of well-being (scores range from 1-25 with higher scores indicating stronger feelings of well-being). The psychologist compiles the information listed in the table below.

Using this table, enter the data into a new SPSS data file and run a linear regression analysis to test whether religious belief predicts feelings of well-being. Create a scatterplot with a regression line to show the relationship between the variables.

Degree of Religious Belief	Self-Reported Well-Being
14	19
11	17
19	18
6	10
20	22
18	24
18	17
8	11
12	17
10	9
4	14
19	23
17	21
5	12
15	20
3	8
6	9

1. Paste SPSS output. (7 pts)

2. Write an APA-style Results section based on your analysis. Include your scatterplot as an APA-style figure as demonstrated in the APA writing presentation. (Results = 8 pts; Graph = 5 pts)

Answer 1

Solution:

Here, we have to find the regression model or equation for the prediction of dependent variable self reported well being based on the independent variable degree of religious belief. The SPSS output for this regression model is given as below:

Regression

Variables Entered/Removedb
Model	Variables Entered	Variables Removed	Method
1	Degree of Religious Beliefa	.	Enter
a. All requested variables entered.
b. Dependent Variable: Self-Reported Well-Being

Model Summary
Model	R	R Square	Adjusted R Square	Std. Error of the Estimate
1	.869a	.754	.738	2.71180
a. Predictors: (Constant), Degree of Religious Belief

ANOVAb
Model		Sum of Squares	df	Mean Square	F	Sig.
1	Regression	338.633	1	338.633	46.048	.000a
	Residual	110.308	15	7.354
	Total	448.941	16
a. Predictors: (Constant), Degree of Religious Belief
b. Dependent Variable: Self-Reported Well-Being

Coefficientsa
Model		Unstandardized Coefficients		Standardized Coefficients	t	Sig.
		B	Std. Error	Beta
1	(Constant)	6.555	1.532		4.280	.001
	Degree of Religious Belief	.778	.115	.869	6.786	.000
a. Dependent Variable: Self-Reported Well-Being

From given scatter diagram, it is observed that there is a considerable high positive linear relationship or association exists between given two variables. The linear correlation coefficient between two variables degree of religious belief and self reported well being is given as r = 0.869 which indicate a considerable high positive linear relationship between given two variables. The coefficient of determination or the value of R square is given as 0.754, this means about 75.4% of the variation in the dependent variable self reported well being is explained by the independent variable degree of religious belief. The p-value for this regression model is given as 0.00 which means regression model is statistically significant and we can use this regression model for the prediction of dependent variable. The y-intercept and coefficient of independent variables are statistically significant as the corresponding p-values are given as 0.001 and 0.000 respectively.

The regression model is given as below:

Self reported well being = 6.555 + 0.778*Degree of religious belief

Y = 6.555 + 0.778*X