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The Data Below Are the Average Monthly Temperatures, In F{ } ^ { \circ } \mathrm { F } \text {, }

Question 60

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The data below are the average monthly temperatures, in F{ } ^ { \circ } \mathrm { F } \text {, } and the monthly natural gas consumption, in ccf,
for a household in northwestern Pennsylvania. Test the significance of the correlation coefficient using α α=0.05\alpha = 0.05 and the claim ρ ϱ<0.\varrho < 0 .  Temperature 473521273948616570 Consumption 34169248134137100193412\begin{array} { l | c c c c c c c c c } \text { Temperature } & 47 & 35 & 21 & 27 & 39 & 48 & 61 & 65 & 70 \\\hline \text { Consumption } & 34 & 169 & 248 & 134 & 137 & 100 & 19 & 34 & 12\end{array}

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