Question

if the r-value or correlation coefficient of a data set is .854 what is the coefficient of determination to three decimal points

Answer 1

Answer: $0.729$

Step-by-step explanation:

The "Coefficient of determination" is used in statistical analysis. It is defined as the  proportion of the  fluctuation or the variance of one variable that is predictable from another variable.

By definition, the Coefificent of determination is:

$Coefficient\ of\ determination=r^2$

Where "r" is the Correlation coefficient.

In this case, the exercise provides you the following Correlation coefificient:

$r=0.854$

Then, you can determine that the Coefficient of determination is the following:

$Coefficient\ of\ determination=(0.854)^2=0.729316$

Finally, expressed to the three decimal points, this is:

$Coefficient\ of\ determination\approx0.729$