Question

The following data is exam score and hours looking at social media in that week of the exam from a sample of 10 students. Student 1 2 3 4 5 6 7 8 9 10 Exam Score 50 67 72 73 79 33 35 36 89 92 Hours 9.5 9.5 8.2 7.8 6.7 5.9 5.5 4.2 1.8 0.1 a) (3 points) Using the IQR rule are there any outliers for the exam scores? If so write down the number(s). Give the interval that defines the outliers. b) (4 points) Determine the correlation coefficient, r, between exam score and hours studied. Interpret what this number means. c) (3 points) Determine the least-square regression equation to predict exam scores based on hours studied. d) (3 points) If a student studies for 5 hours what is the predicted exam score? e) (3 points) Give the residual for student 2. f) (4 points) Give the coefficient of determination, R. for this least-squares equation. Give the interpretation of this number.

Answer 1

a) Detailed solution is given in the images below

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