# 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?

https://brainmass.com/statistics/regression-analysis/linear-regression-model-and-correlation-coefficient-129502

#### 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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