MA 131H - PROJECT #1 - HEIGHT-WEIGHT RELATIONSHIPS The purpose of this project is to analyze the relationaships of height and weight in various segments of human populations. We assume that the weight W is approximately related to the height H by a power relationship: (1) W = C\342\213\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 where r and C are positive It is assumed we have data points (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,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), i=1,...,N of a segment of the population where certain people of height 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 Taking the logarithm of each side of the equation in (1) leads to the following linear relationship: (2) ln(W) = r\342\213\205ln(H) + ln(C) Therefore we will use the least squares method (see section 7.5 of text) to obtain r and ln(C) (and hence C) so that the fit for ln(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 is best in the least squares sense: the errors 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 , which depend on the parameters r and C, are so that 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 (Here and below, \342\210\221 is used to denote the sum from i =1 to i=N). Recall that if we have data 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 (3) y = A\342\213\205x + B is the best least squares fit for for this data: (4) 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 Then A = (N\342\213\205\342\210\221 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 - \342\210\221 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 \342\210\221 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY7LUkjbWlHRiQ2OVEhRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJXNpemVHUSMxMkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGNy8lKnVuZGVybGluZUdRJmZhbHNlRicvJSpzdWJzY3JpcHRHRjwvJSxzdXBlcnNjcmlwdEdGPC8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUnb3BhcXVlR0Y8LyUrZXhlY3V0YWJsZUdGPC8lKXJlYWRvbmx5R0Y8LyUpY29tcG9zZWRHRjwvJSpjb252