Listed below are amounts of bills for dinner and the amounts of the tips that were left. Construct a scatterplot, find the value of the linear correlation coefficient r, and the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of 0.05. If everyone were to tip with the same percentage, what should be the value of r?

Bill 33.88 47.31 80.26 93.13 64.11 112.81

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Tip 5.41 5.14 13.13 12.08 7.20 11.49

The linear correlation coefficient r is_____? (Round to three decimals)

Determine the null and alternative hypotheses

H0: P___ ____

H1 : P ___ _____

The test statistic is_____?

The P-value is _______?

Because the P-value of the linear correlation coefficient is _________ the significance level, there _______ sufficient evidence to support the claim that there is a linear correlation between bill amounts and tip amounts

If everyone were to tip with the same percentage, then r = ______?