Module 5 Homework Assignment The paired data below consists of test scores and h

Question

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

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.

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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 r2 and explain its meaning.

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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.

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Explanation / Answer

5)

Explained variance = 511.72

Unexplained variance = 87.47

Total variance = 599.2

R square = Explained variance / Total varaince = 0.85

85% of thevaraince of dependent variable can be able to explain through independent varaible.

10)

Yes it is an outlier and influential point

Prediction interval for the forecasted value n 5 df 3 n-2 mean (x) 6.4 xo 7 yo 69.51456 Sres 5.399868 SSx 41.2 se 5.936756 t- crit 5.840909 Lower interval 34.83851 Upper interval 104.1906

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