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A Study Reports on an Investigation of Methods for Age

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A study reports on an investigation of methods for age determination based on tooth characteristics. With x = percentage of root with transparent dentine and y = age (years), consider the following representative data for anterior teeth: x15193139414447485564y23526555326078596160\begin{array} { l l l l l l l l l l l } \hline x & 15 & 19 & 31 & 39 & 41 & 44 & 47 & 48 & 55 & 64 \\\hline y & 23 & 52 & 65 & 55 & 32 & 60 & 78 & 59 & 61 & 60 \\\hline\end{array}
a. Calculate a 95% CI for the expected change in age associated with a 1% increase in transparent dentine content. What does the interval suggest about usefulness of the model?
b. Carry out a test of model utility based on the P-


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