Which of the Following Statements Are True?
A) When the Relationship

question 35

Multiple Choice

Which of the following statements are true?

• A) When the relationship between x and y is positive, \(S _ { x,y } = \sum _ { l = 1 } ^ { n } \left( x _ { l } - \bar { x } \right) \left( y _ { l } - \bar { y } \right)\)
• Will be positive, a negative relationship implies that \(S _ { x y }\)
• Will be negative.
• B) By changing the units of measurement of either x or y, \(S _ { xy } = \sum _ { i = 1 } ^ { n } \left( x _ { i } - \bar { x } \right) \left( y _ { i } - \bar { y } \right)\)
• , can be made either arbitrarily large in magnitude or arbitrarily close to zero.
• C) A reasonable condition to impose on any measure of how strongly x and y are related is that the calculated measure should not depend on the particular units used to measure them. This condition is achieved by using the sample correlation coefficient r.
• D) All of the above statements are true.
• E) None of the above statements are true.

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