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Elis [28]
1 year ago
13

A set of n = 25 pairs of scores (x and y values) has a pearson correlation of r = 0.80. how much of the variance for the y score

s is predicted by its relationship with x?
Mathematics
1 answer:
enot [183]1 year ago
4 0

0.64 or 64% of the variance for the y scores is predicted by its relationship with x.

<h3>What is coefficient of determination?</h3>

The percentage of the variation in the dependent variable that can be predicted from the independent variable is known as the coefficient of determination, abbreviated R2 or r2, in statistics.

<h3>How to find the variance for the y scores?</h3>

given that

A set of n = 25 pairs of scores (x and y values) has a pearson correlation of r = 0.80.

now we have to find the variance for the y scores.

here, r=0.80 then {r}^{2}  = 0.64

which means 0.64 or 64% of the variance for the y scores is predicted by its relationship with x.

r =  \sqrt{ {r}^{2}} \: or \:  \sqrt{ {r}^{2}} \\ 0.80 =  \sqrt{ {0.80}^{2} }   \\ 0.80 = 0.80

Learn more about coefficient of determination,refer:

brainly.com/question/17485791

#SPJ9

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