Question

Model Summary S R-sq R-sq(adj) 6.75912 84.14% 82.70% Analysis of Variance Source DF SS MS F...

Model Summary

S

R-sq

R-sq(adj)

6.75912

84.14%

82.70%

Analysis of Variance

Source

DF

SS

MS

F

P

Regression

1

2666.38

2666.38

58.36

0.000

Error

11

502.54

45.69

Total

12

3168.92

Correlations

Age (in
years)

Annual salaries (in thousands)

0.917

  1. What is the Correlation Coefficient?
  2. Does the Correlation Coefficient justify your answer to #4 or would you now change your answer? Why or why not? What does the Correlation Coefficient tell you about the direction and strength of the relationship between these variables?
  3. Using the P value or the critical values for the Pearson coefficient Critical Values Table for Pearson Coefficient is there enough evidence to support a relationship at the 5% level of significance (α = .05) for these variables? Explain how you arrived at your answer.
  4. Using the result for the Correlation Coefficient compute the Coefficient of Determination (r-squared).
  5. Interpret this value…what information does this give us concerning Age and Annual Salaries?

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