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(Solution document) A researcher is interested in sentencing dispositions and their relationship with the severity of a crime.


A researcher is interested in sentencing dispositions and their relationship with the severity of a crime. She asked a sample of 10 prospective jury members to rate the seriousness of a particular crime (X) on a 1 (not very serious) to 7 (extremely serious) scale and then determine the sentence (Y) in years that sample members would recommend for that crime. The data are as follows:


X Y

5 12

7 15

3 3

4 6

6 10

1 5

2 2

5 4

1 3

5 3


a. Calculate the regression slope and Y-intercept. Interpret your results.

b. Predict the length of recommended sentence for a crime rated "5" on seriousness.

c. Find the R-square. What does it mean?

 


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