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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Definitions:

Extended Family

A family group that extends beyond the immediate nuclear family, including grandparents, aunts, uncles, and other relatives.

Nuclear Family

A family unit that consists of parents (both mother and father) and their biological or adopted children, living together in one household.

Macro Family

A larger grouping of languages that are believed to be genetically related, encompassing smaller language families under a shared ancestry.

Exceptional Family

A family that has unique needs or circumstances, often related to healthcare, developmental, or educational considerations.