Question: Over the past three years, 7,031 students have completed the first course in statistics at a  major university. The department head  is interested in knowing the relationship between the midterm and final examination scores in this course. Specifically, the interest is in predicting a student's final exam score (y) using the student's midterm exam score (x). Using these predictions, help sessions can be provided for students who are predicted to receive a "low" final exam score. All of the exam scores for the last three years are written in grade books stored in the department. However, it would be too time consuming to enter all these scores into a computer database. The department head decides to obtain the exam scores for a simple random sample of 50 students.  The output for this problem follows on the
next page.

1. Looking at the scatterplot of the data, what does it tell you about the relationship between the midterm exam scores and the final exam scores?
2. Find the equation of the least squares line of regression.
3. What does the correlation coefficient tell you about the relationship between the midterm exam scores and the final exam scores?
4. A student received a score of 75 on the midterm exam. Predict this student's final exam score.
5. Are you confident that predictions based on the equation of the least squares line of
   regression will be quite accurate?  Why or why not?
6. What percent of the variation in the final exam scores can be explained by the regression on the midterm exam scores?

Dependent Variable is:  Final Exam Score
R-squared = 95.9%     R-squared (adjusted) = 95.9%
Correlation: r = 0.98

Price: $2.99

Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document