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The data below are the average monthly temperatures, in °F, and the monthly natural gas consumption,...

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Basic Math

The data below are the average monthly temperatures, in °F, andthe monthly natural gas consumption, in ccf, for a household innorthwestern Pennsylvania.

a.)Test the significance of the correlation coefficient using α= 0.05 and the claim ρ < 0. Identify the claim, state the nulland alternative hypotheses, find the critical value, find thestandardized test statistic, make a decision on the null hypothesis(you may use a P-Value instead of the standardized test statistic),write an interpretation statement on the decision

b.) Find the equation of the regression line for the givendata

Temperature

47

35

21

27

39

48

61

65

70

Consumption

34

169

248

134

137

100

19

34

12

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