In: Statistics and Probability
Researchers interested in determining if there is a relationship between anxiety and religiosity conducted the following study. Subjects completed a 5 point anxiety item (high score = high anxiety) and also completed a 15 item checklist designed to measure an individual’s degree of religiosity (belief in a particular religion, regular attendance at religious services, etc). A high score indicates greater religiosity. Sample data from 10 subjects are provided below. Can you predict anxiety (y) from religiosity (x)? First determine the correlation coefficient and test if that correlation coefficient is statistically significant or not. Second determine and plot the best fitting line. And third, determine if the best fitting line is --- good enough.
Religiosity Anxiety
4 4
3 4
1 3
5 3
9 2
6 1
14 2
9 2
12 1
11 2