Question

1. Model Summary

S	R-sq	R-sq(adj)
1.46695	0.09%	0.00%

Analysis of Variance

Source	DF	SS	MS	F	P
Regression	1	0.0160	0.01597	0.01	0.933
Error	8	17.2156	2.15195
Total	9	17.2316

The is 0.3 Correlation Coefficient <<<<<<<<<<<<<<

1. Does the Correlation Coefficient justify your answer to #22 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?
2. 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.
3. Using the result for the Correlation Coefficient compute the Coefficient of Determination (r-squared).
4. Interpret this value…what information does this give us concerning Earnings and Dividends?

Answer 1

Solution

The Correlation Coefficient r = 0.3

a) What does the Correlation Coefficient tell you about the direction and strength of the relationship between these variables?

Correlation Coefficient r = 0.3 tells us that there is weak positive relationship between these variables.

b)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

c)Using the result for the Correlation Coefficient compute the Coefficient of Determination (r-squared)

Coefficient of Determination = r² = (0.3)² = 0.09%

d)Interpret this value…what information does this give us concerning Earnings and Dividends

Coefficient of Determination =0.09% tells us that only 0.09% variation in the model expained by Earnings and Dividends