Question

Problem Set 1: Linear Regression Analysis 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

Comment: From the above scatter plot, increase the value of religious belief increases the value of Well being and vice-versa. Hence, these two variables have a positive association.

Coefficientsa
Model		Unstandardized Coefficients		Standardized Coefficients	t	Sig.
		B	Std. Error	Beta
1	(Constant)	6.555	1.532		4.280	.001
	Religious_Belief	.778	.115	.869	6.786	.000

The regression equation is

Well being=6.555+0.778 Religious Belief

The estimated p-value for t-test statistic for the slope of Religious_Belief is 0.000 and less than 0.05 level of significance. Hence, we can conclude that Religious_Belief has a significant effect on Well-being at 0.05 level of significance. Also, for increasing a unit on Religious Being increases the mean Well-being by 0.778.