With reference to the preceding exercise, (a) construct a (95 %) confidence interval for (beta), the elongation

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With reference to the preceding exercise,

(a) construct a \(95 \%\) confidence interval for \(\beta\), the elongation per thousand pounds of tensile stress;

(b) find 95% limits of prediction for the elongation of a specimen with \(x=3.5\) thousand pounds.

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