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 Ï < 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 | |
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| Consumption | | 34 | 169 | 248 | 134 | 137 | 100 | 19 | 34 | 12 | |