Given the following ANOVA table Assuming a direct relationsh

Given the following ANOVA table:

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

  Source DF SS MS F
  Regression 1 1,800 1,800.00   24.00  
  Error 12 900 75.00
     Total 13 2,700

Solution

a)

Coefficient of Determination = r2 = SS(Regression) / SS(Total)

r^2 = 1800 / 2700 = 0.67

c)

Standard error = srqt (SS error) = srqt (75) =8.66

Given the following ANOVA table: Assuming a direct relationship between the variables, what is the correlation coefficient? (Round your answer to 2 decimal plac

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