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linear regression model and correlation coefficient

5. For the following data:
Case X Y
1 13 5
2 17 45
3 9 0
4 11 18
5 15 25
6 8 4
7 13 10
8 18 35
9 16 15
10 10 0

X-Bar = 13, SDx = 3.46; Y-Bar = 15.70, SDy = 15.28

a. Calculate slope a.
b. Calculate y-intercept b.
c. Write the regression equation including a and b below. Assume an unknown x.

6. Calculate the correlation coefficient between the X and Y data in the table above (in # 5). (You may use either the raw score or the deviation formula.)
a. What is r?
b. What does r tell us?

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Solution Summary

The solution shows detailed calculation of the linear regression slope and y-intercept. It also calculates the correlation coefficient and explains the meaning of it.

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