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Name:______________________________________ Module 5 Homework Assignment The paired data below consists of test scores and hours of preparation for 5 randomly selected students. Use this data set to answer the questions below: x Hours of preparation 5 2 9 6 10 y Test score 64 48 72 73 80 1. Use the given data to find the correlation coefficient r, regression equation and scatter plot in MS Excel. Solution: Instructor Comments: 2. Based on the linear correlation coefficient r, is this a good model? Explain. Solution: Instructor Comments: 3. What is the best predicted test score for a student who spent 7 hours preparing for the test? Solution: Instructor Comments: 4. Find the standard error se . Use formula or MS Excel. Solution: Instructor Comments: 5. Find the 99% prediction interval for the test score of a person who spent 7 hours preparing for the test given that E=34.677. Interpret the result. Solution: Instructor Comments: 6. Find the explained variation. Solution: Instructor Comments: 7. Find the unexplained variation. Solution: Instructor Comments: 8. Find the total variation. Solution: Instructor Comments: 9. Find the value of r2 and explain its meaning. Solution: Instructor Comments: 10. If the data point ( 3, 100) is added to the data set, how would this effect the results of the regression analysis? Is this data point an outlier, influential point or both? Explain. Solution: Instructor Comments:
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Name: ______________________________________

Module 5 Homework Assignment
The paired data below consists of test scores and hours of preparation for 5 randomly selected
students. Use this data set to answer the questions below:
x Hours of preparation 5 2 9 6 10
y Test score
64 48 72 73 80
1. Use the given data to find the correlation coefficient r, regression equation and scatter plot in MS
Excel.
Solution:
Correlation Coefficient (r) = 0.9241
Regression equation: y = 44.84 + 3.52x
Scatter Plot

Instructor Comments:

100

0
0

5

10

15

2. Based on the linear correlation coefficient r, is this a good model? Explain.

Solution:
r = 0.9241
This is a good model. It indicates a strong positive
correlation between the two variables. They are
moving in the same direction. An increase in the
number of hours used for preparation causes an
increase in the test score.

Instructor Comments:

3. What is the best predicted test score for a student wh...


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I was having a hard time with this subject, and this was a great help.

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