"Find the coefficient of determination given that the correlation coefficient = -.39"

(Give your answer as a decimal rounded to the ten thousandth decimal place.)

Respuesta :

Answer:

[tex] r = -0.39[/tex]

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

[tex] R = r^2 = (-0.39)^2 =0.1521[/tex]

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:

[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]

For this case we have

[tex] r = -0.39[/tex]

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

[tex] R = r^2 = (-0.39)^2 =0.1521[/tex]

And rounded to the nearest tenth thousand would be 0.1521

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