"Find the coefficient of determination given that the correlation coefficient = -.39" (Give your answer as a decimal rounded to the ten thousandth decimal place.)

And the determination coeffcient is just the correlation coeffcient square and we got:

And rounded to the nearest tenth thousand would be 0.1521

Step-by-step explanation:

The correlation coefficient is a measure of variability and is given by this formula:

For this case we have

And the determination coeffcient is just the correlation coeffcient square and we got:

And rounded to the nearest tenth thousand would be 0.1521

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b