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Which of the Following Statements Are Not True?
A) the Proportion

Question 98

Multiple Choice

Which of the following statements are not true?


A) The proportion of variation in the dependent variable explained by fitting the simple linear regression model does not depend on which variable is treated as the dependent variable.
B) A value of the sample correlation coefficient r near 0 is not evidence of the lack of a strong relationship, but only the absence of a linear relation, so that such a value of r must be interpreted with caution.
C) It may surprise you that a value of the sample correlation coefficient r = .5 is considered weak, but Y2=.25Y^ { 2 } = .25
Implies that in a regression of y or x, only 25% of observed y variation would be explained by the model.
D) The sample correlation coefficient r can be used to make various inferences about the population correlation coefficient ρ\rho
)
E) The square root of the sample correlation coefficient gives the value of the coefficient of determination that would result from fitting the simple linear regression model.

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