Question

A large sample of data is collected in order to study the relationship between the two...

A large sample of data is collected in order to study the relationship between the two variables X and Y to investigate whether X can be used to predict the value of Y. It is found that r = -.75. Which one of the following statements is true?
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10x10.gif A 10x10.gif The coefficient of determination is equal to -.75
B The coefficient of determination is equal to .75
C The coefficient of determination is equal to -.5625
D The coefficient of determination is equal to .5625
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Answer #1

Solution :

Given that,

r = -0.75

So, Coefficient of determination = r2 = (-0.75)2 = 0.5625

The coefficient of determination is equal to 0.5625 .

Option D) is correct .

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