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

question 51

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 \(Y^ { 2 } = .25\)
• 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 \(\rho\)
• )
• 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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