The table below includes data from taxi rides. The distances are in miles, the times are in minutes, the fares are in dollars, and the tips are in dollars. Is there sufficient evidence to conclude that there is a linear correlation between the time of the ride and the tip amount? 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 time of the ride and the tip amount. Does it appear that riders base their tips on the time of the ride? Use a significance level of

alphaequals=0.010.01.

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Part 1

Construct a scatterplot. Choose the correct graph below.

A.

050010Timeoftheride(minutes)TipAmount($)

A scatterplot has a horizontal axis labeled Time of ride in minutes from 0 to 50 in increments of 10 and a vertical axis labeled Tip Amount in dollars from 0 to 10 in increments of 2. A large cluster of points starts at x equals 10 and very roughly rises from left to right. Many points lie on the horizontal axis.

B.

040010Timeoftheride(minutes)TipAmount($)

A scatterplot has a horizontal axis labeled Time of ride in minutes from 0 to 40 in increments of 10 and a vertical axis labeled Tip Amount in dollars from 0 to 10 in increments of 2. A large cluster of points starts at x equals 0 and very roughly falls from left to right. Many points lie on the line y equals 10.

C.

040010Timeoftheride(minutes)TipAmount($)

A scatterplot has a horizontal axis labeled Time of ride in minutes from 0 to 40 in increments of 10 and a vertical axis labeled Tip Amount in dollars from 0 to 10 in increments of 2. A large cluster of points starts at x equals 5 and very roughly falls from left to right. Many points lie on the line y equals 5.

D.

040010Timeoftheride(minutes)TipAmount($)

A scatterplot has a horizontal axis labeled Time of ride in minutes from 0 to 40 in increments of 10 and a vertical axis labeled Tip Amount in dollars from 0 to 10 in increments of 2. A large cluster of points starts at x equals 0 and very roughly rises from left to right. Many points lie on the horizontal axis.

Part 2

The linear correlation coefficient is

requals=enter your response here.

(Round to three decimal places as needed.)

Part 3

Determine the null and alternative hypotheses.

Upper H 0H0:

rho

greater than>

less than<

not equals

equals=

enter your response here

Upper H 1H1:

rho

greater than>

equals=

not equals

less than<

enter your response here

(Type integers or decimals. Do not round.)

Part 4

The test statistic is

tequals=enter your response here.

(Round to two decimal places as needed.)

Part 5

The P-value is

enter your response here.

(Round to three decimal places as needed.)

Part 6

Since the P-value of the linear correlation coefficient is

the significance level, there

is

is not

sufficient evidence to support the claim that there is a linear correlation between the time of the ride and tip amounts.