Researchers interested in determining if there is a relationship between death anxiety and religiosity conducted the following study

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Researchers interested in determining if there is a relationship between death anxiety and religiosity conducted the following study. Subjects completed a death anxiety scale (high score = high anxiety) and also completed a checklist designed to measure an individuals degree of religiosity (belief in a particular religion, regular attendance at religious services, number of times per week they regularly pray, etc.) (high score = greater religiosity . A data sample is provided below:

Death Anxiety	Religiosity
38	4
42	3
29	11
31	5
28	9
15	6
24	14
17	9
19	10
11	15
8	19
19	17
3	10
14	14
6	18

 

A) What is the correlation coefficient?

B) What does this statistic mean concerning the relationship between death anxiety and religiosity?

C) What percent of the variability is accounted for by the relation of these two variables?

D) What would be the slope and y-intercept for a regression line based on this data? Test to see if the slope is significantly different from zero.

E) If a subject scored a 20 on the death anxiety scale, what would be their predicted religiosity? Give a 90% prediction interval for this estimate.

F) Calculate the ANOVA table for the regression model.