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In: Statistics and Probability

The following data is examm score and hours studied that week from a sample of 10...

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. :)

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