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September 22, 2014

September 22, 2014

Posted by **Jannel** on Saturday, January 31, 2009 at 11:53pm.

- statistics -
**bobpursley**, Sunday, February 1, 2009 at 8:52amI wonder what "explained" means.

If "explained" means the right thing, the correlation is .74

- statistics -
**MathGuru**, Sunday, February 1, 2009 at 9:48amCoefficient of Determination is explained variation divided by total variation (or more simply, the correlation coefficient squared). To find the correlation coefficient, take the square root of .74 for your answer. The Coefficient of Determination shows the strength of the relationship between two variables. The ratio of explained variance to total variance represents the proportion of variability that is shared by the two variables. The Coefficient of Determination can be used to examine the usefulness of a regression line because it looks at the strength of the linear relationship.

- statistics -
**MathGuru**, Sunday, February 1, 2009 at 9:58amOne other comment:

Explained variation in this case is the variation in Y values that is explained by X values; unexplained variation is variation in Y values that cannot be explained by X values. Total variation is explained values plus unexplained values.

I hope this will help.

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**Jannel**, Sunday, February 1, 2009 at 2:42pmI tried those answers and it didn't work.

=(

- statistics -
**Jannel**, Sunday, February 1, 2009 at 3:42pmI messed around the numbers and I sqrt .74 and added a negative sign to it and got it right. How do you know if it's a negative correlation?

- statistics -
**MathGuru**, Sunday, February 1, 2009 at 7:54pmHere's one way that might help you determine positive and negative correlations. With positive correlations, when one thing goes up, the other thing goes up. With negative correlations, when one thing goes up, the other goes down. With no correlation, there is no relationship between the two things.

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