3 15 Construct a data set where the estimated correlation (3 18) lies outside the range (1, 1) 3 16 (a) Why does the estimated correlation (3 19) always lie in the range (1, 1) (b) Suppose the means y jk j and y jk k in (3 17) are replaced by estimates from all available cases Is the resulting estimated correlation (3 19) always in the range (1, 1) Either prove that it is or provide a counterexample

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Question: 3.15. Construct a data set where the estimated correlation (3.18) lies outside the range (1, 1). 3.16. (a) Why does the estimated correlation (3.19) always

3.15. Construct a data set where the estimated correlation (3.18) lies outside the range (1, 1). 3.16.

(a) Why does the estimated correlation (3.19) always lie in the range (1, 1)?

(b) Suppose the means y ð jkÞ j and y ð jkÞ k in (3.17) are replaced by estimates from all available cases. Is the resulting estimated correlation (3.19) always in the range (1, 1)? Either prove that it is or provide a counterexample.

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