Assuming a direct relationship between the variables what is

Assuming a direct relationship between the variables, what is the correlation coefficient? (Round your answer to 2 decimal places.)

Solution

Given the following ANOVA table:

  Source

DF

SS

MS

F

  Regression

1

1,800

1,800.00  

32.00  

  Error

16

900

56.25

     Total

17

2,700

a.

Determine the coefficient of determination.(Round your answer to 2 decimal places.)

Coefficient of determination   =SSR/SST= 1800/2700 =0.67

b.

Assuming a direct relationship between the variables, what is the correlation coefficient? (Round your answer to 2 decimal places.)

Coefficient of correlation   = sqrt(0.67) =0.82

c.

Determine the standard error of estimate. (Round your answer to 2 decimal places.)

Standard error of estimate   =sqrt(MSE) = sqrt(56.25) = 7.50