Exercise 10:

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 find 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 = 0.01. If everyone were to tip with the same percentage, what should be the value of r?

Bill(dollars)31.6252.2090.3699.4260.70100.52

Tip (dollars)3.9010.408.6218.1310.6012.95

Construct a scatterplot.

The linear correlation coefficient r is ________.

(Round to three decimal places as needed.)

Determine the null and alternative hypotheses.

Ho: (1)____________________________

H1: (2)___________________________

(Type integers or decimals. Do not round.)

The test statistic is _________.

(Round to two decimal places as needed.)

The P-value is _________.

(Round to three decimal places as needed.)

Because the P-value of the linear correlation coefficient is (3) ___________the significance level, there (4)____________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 = ________ .

(Round to three decimal places as needed.)

(1)

>

=

<

(2) >

=

<

(3) greater than

less than or equal to

(4) is not

is