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Conduct Inference on the Slope
-Test the Claim, at The \alpha

Question 53

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Conduct Inference on the Slope
-Test the claim, at the α=0.10\alpha = 0.10 level of significance, that a linear relation exists between the two variables, for the data below, given that y=1.885x+0.758\mathrm { y } = - 1.885 \mathrm { x } + 0.758 .
x5341120234y11661341458\begin{array}{l|c|c|c|c|c|c|c|c|c|c|}\mathrm{x} & -5 & -3 & 4 & 1 & -1 & -2 & 0 & 2 & 3 & -4 \\\hline \mathrm{y} & 11 & 6 & -6 & -1 & 3 & 4 & 1 & -4 & -5 & 8\end{array}

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Since t = -27.929 < -t0.05 = 1...

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