Statistical Exercise. For a sample of 10 people we have information about their degree of extroversion.
information about their degree of extroversion, and we want to evaluate its possible linear relationship with the
with the personality dimension emotional stability. Both variables
were measured with a test and scores were obtained for each subject on a scale of 0 to 10.
on a scale of 0 to 10. The values obtained are presented in the following
table:
Subjects X: Degree of
Extroversion
Y: Emotional
Emotional
1 5 6
2 10 6
3 4 3
4 7 8
5 6 6
6 5 3
7 4 5
8 4 9
9 4 10
10 3 9
a) Estimate the simple linear regression equation.
b) What would be the adjusted stability level for a subject whose degree of extroversion was zero?
Does this adjusted value correspond to any coefficient of the calculated straight line?
coefficient of the calculated line?
c) How is the r-squared
d) How is the adjusted r2
e) f. Does the relationship exist and is it positive? Negative? Inverse?
f) g. Write the mathematical model of the relationship.