In: Statistics and Probability
The following data is examm score and hours studied that week from a sample of 10 students.
Student | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
Examm Score | 56 | 64 | 64 | 66 | 69 | 70 | 70 | 71 | 82 | 91 |
Hours Studied | 0.5 | 1.4 | 2.1 | 3.0 | 4.2 | 4.5 | 4.9 | 5.7 | 7.5 | 8.6 |
a) Using the IQR rule, are there any outliers for the examm scores? If so write down the number(s). Give the interval that defines the outliers.
b) Determine the correlation coefficient, r, between examm score and hours studied. Interpret what this number means.
c) Determine the least-square regression equation to predict examm scores based on hours studied.
d) If a student studies for 5 hours what is the predicted examm score?
e) Give the residual for student 2.
f) Give the coefficient of determination, R^2, for this least-squares equation. Give the interpretation of this number.
Please answer all parts and write clearly. :)