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The Total Blood Cholesterol Concentrations, In mg/dL\mathrm { mg } / \mathrm { dL }

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Essay

The total blood cholesterol concentrations, in mg/dL\mathrm { mg } / \mathrm { dL } , are shown below for a random sample of six people. In the table below, xx is the age of the subject and yy is the subject's total cholesterol concentration. Find the 95%95 \% prediction interval when x=58x = 58 years.
x (age) 364958696371y(mg/dL)204194209257245256\begin{array}{l|cccccc}x \text { (age) } & 36 & 49 & 58 & 69 & 63 & 71 \\\hline y(\mathrm{mg} / \mathrm{dL}) & 204 & 194 & 209 & 257 & 245 & 256\end{array}


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