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The result of the linear regression is: ...

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题目

The result of the linear regression is: Y=0.10-0.50X, with a correlation coefficient ρ=-0.90. The fraction of the variance of Y attributable to X is equal to:

选项

A.-0.90

B.+0.90

C.+0.81

D.-0.50

答案

C

解析

R-squared equals the square of the correlation coefficient and measures the fraction of the variance of Y that is attributable to X. R2=ρ2=(-0.90)2=0.81R平方等于相关系数的平方,并测量可归因于X的Y的方差的分数。R2=ρ2=(-0.90)2=0.81