valdiviaricky2831 valdiviaricky2831
  • 19-01-2021
  • Mathematics
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If the correlation coefficient between two variables is .90, what percent of the variance is explained by this correlation

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JeanaShupp
JeanaShupp JeanaShupp
  • 23-01-2021

Answer:  81% of the variance in dependent variable is explained by this correlation .

Step-by-step explanation:

For X = Independent variable and Y=dependent variable,

If r= correlation coefficient , then we say [tex]r^2[/tex]  of the variance in Y is explained by Variable X.

Given: r= 0.90

[tex](0.90)^2= 0.81[/tex]

So, 81% of the variance in dependent variable is explained by this correlation .

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