(a) Explain, in context, what a correlation coefficient of -0.25 means.

Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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For mated pairs of gallinules (type of water bird), let X equal the weight in grams of the male
and Y the weight in grams of the female. Assume that X and Y have a bivariate normal
distribution with μx = 415, o = 611, uy = 347 and o=689. The correlation coefficient
between X and Y is p = -0.25.
(a) Explain, in context, what a correlation coefficient of -0.25 means.
Transcribed Image Text:For mated pairs of gallinules (type of water bird), let X equal the weight in grams of the male and Y the weight in grams of the female. Assume that X and Y have a bivariate normal distribution with μx = 415, o = 611, uy = 347 and o=689. The correlation coefficient between X and Y is p = -0.25. (a) Explain, in context, what a correlation coefficient of -0.25 means.
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(b) Determine the marginal distributions of X and then of Y.
(c) Find the conditional distribution of Y|X = x.
Transcribed Image Text:(b) Determine the marginal distributions of X and then of Y. (c) Find the conditional distribution of Y|X = x.
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