Module 9 Homework Assignment
The paired data below consists of test scores and hours of preparation for 5 randomly selected students.
x Hours of preparation 5 2 9 6 10
y Test score 64 48 72 73 80
1. Use the given data and MS Excel and find thecorrelation coefficient r, regression equation and scatter plot.
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2. Based on the linear correlation coefficient r, and a = 0.05, is this a good model? Explain.
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3. What is the best predicted test score for a student who spent 7 hours preparing for the test?
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4. Find the standard error . Use the formula or Microsoft Excel Regression
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5. Find the 99% prediction interval for the test score of a person who spent 7hours preparing for the test given that E = 34.677. Interpret the result.
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6. Find the explained variation.
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7. Find the unexplained variation.
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8. Find the total variation.
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9. Find the value of r^{2} and explain its meaning.
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10. If the data point (3, 100) is added to the data set, how would this affect the results of the regression analysis? Is this data point an outlier, influential point or both? Explain.
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Module 9 Homework Assignment
The paired data below consists of test scores and hours of preparation for 5 randomly selected students.
x Hours of preparation 5 2 9 6 10
y Test score 64 48 72 73 80
1. Use the given data and MS Excel and find thecorrelation coefficient r, regression equation and scatter plot.
Solution:

Instructor Comments: 
2. Based on the linear correlation coefficient r, and a = 0.05, 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 . Use the formula or Microsoft Excel Regression
Solution:

Instructor Comments: 
5. Find the 99% prediction interval for the test score of a person who spent 7hours 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 r^{2} and explain its meaning.
Solution:

Instructor Comments: 
10. If the data point (3, 100) is added to the data set, how would this affect the results of the regression analysis? Is this data point an outlier, influential point or both? Explain.
Solution:

Instructor Comments: 
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