If the correlation coefficient is equal to .30, the coefficient of
determination is equal to______________?

Which of the following is the best answer:
*the sum of squared score deviations from the mean
*the square root of 30 percent
*.90
*.09

Hi!!


"The Coefficient of Determination
The primary meaning of the coefficient of correlation lies in the
amount of variation in one variable that is accounted for by the
variable it is correlated with. To obtain this information, square the
coefficient of correlation. The squared correlation coefficient is
called the coefficient of determination. The magnitude of the
coefficient of determination indicates the proportion of variance in
one variable, explained from knowledge of the second variable.
Multiplied by 100, this proportion of variance indicates the
percentage of variance that is known, accounted for, determined. The
coefficient of determination is the primary information measure within
the general linear model. Correlation coefficients of .30 account for
about 10 percent of the variance. Correlation of .70 explains about 50
percent of variance."
From "Correlation: Interpretations" at 'World of Visual Statistics' site:
http://www.visualstatistics.net/web%20Visual%20Statistics/Visual%20Statistics%20Multimedia/correlation_interpretation.htm


So, if the correlation coefficient (r) is equal to 0.30, the coefficient of
determination (r^2) is equal to 0.09 .


I hope that this helps you. Feel free to request for a clarification
if you need it.

Regards.
livioflores-ga