The data below are the average monthly temperatures, in F, and the monthly natural gas consumption, in ccf, for a household in northwestern Pennsylvania. Test the significance of the correlation coefficient using a =0.05 and the claim P < 0.

Temperature (x) 47 3521 273948 61 65 70

Consumption (y) 34 169 248 134 137 100 19 34 12

Find out the

Critical value, standard test statistic t, decision, and conclusion?