Question

1.         Fill in the following chart for the correlation coefficient. No credit will be given unless the entire chart is filled in.

Name	Symbol	What it Tells Us	Abs. or Rel.? (give units if absolute)	Boundaries	What Extremes Signify
Population Correlation Coefficient
Sample Correlation Coefficient

2.         Fill in the following chart for the coefficient of determination. No credit will be given unless the entire chart is filled in.

Name	Symbol	What it Tells Us	Abs. or Rel.? (give units if absolute)	Boundaries	What Extremes Signify
Population Coefficient of Determination
Sample Coefficient of Determination

Answer 1

Name	Symbol	What it tells us	Abs or rel.	Boundaries	What Extremes Signify
Population Correlation Coefficient		Correlation coefficients measure the strength of association between two variables in the population	Relative	-1 to 1	If take value -1 or 1 then there is high degree positive or negative relationship between variables. If it is zero then there is no relation
Sample Correlation Coefficient	r	Correlation coefficients measure the strength of association between two variables in the sample	Relative	-1 to 1	If r take value -1 or 1 then there is high degree positive or negative relationship between variables. If it is zero then there is no relation

Name	Symbol	What it Tells Us	Abs. or Rel.? (give units if absolute)	Boundaries	What Extremes Signify
Population Coefficient of Determination	R2	It tells the proportion of the variance in the dependent variable of population that is predictable from the independent variable in the population.	Relative	0 to 1	An R2 of 0 means that the dependent variable cannot be predicted from the independent variable. An R2 of 1 means the dependent variable can be predicted without error from the independent variable.
Sample Coefficient of Determination	r2	It tells us the proportion of the variance in the dependent variable of the sample that is predictable from the independent variable of sample	Relative	0 to 1	An r2 of 0 means that the dependent variable cannot be predicted from the independent variable. An r2 of 1 means the dependent variable can be predicted without error from the independent variable.