Question

Psychopaths tend to be cold and calculated, often not worrying about others or consequences so they are typically not anxious. You are curious whether anxiety scores for people are associated with psychopathy scores. To test this you survey 12 undergraduate students on their anxiety level (0 to 100, higher mean more anxious) and their score on a standard psychopathy measure (0 to 40, higher score indicated a higher level of psychopathy). The data is as follows:

person	Anxiety	Psychopathy
1	75	5
2	50	15
3	27	20
4	60	10
5	5	19
6	5	21
7	6	15
8	71	3
9	2	30
10	9	17
11	3	12
12	10	18

3) Explain this relationship in every day terms (what would you say to a person who does not know anything about correlations).

Answer 1

Run a regression analysis in excel followed by below procedures:

1. Go to data tab --> data analysis --> choose Regression
we will find the significant correlation between the variables using regression analysis

Results:

Significance F is nothing but p-value:

sp, the p-value is 0.0034

P-value is lesser than the significance level 0.05

Conclusion:

If the p-value is less than the significance level (α=0.05):

• Decision: Reject the null hypothesis.
• Conclusion: "There is sufficient evidence to conclude that there is a significant linear relationship between x and y because the correlation coefficient is significantly different from zero."

Theres is a negative relationship between anxiety and psychopaths.

The correlation coefficeint r = -0.77