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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 the two variables. Use a significance level of α=0.01. Does it appear that riders base their tips on the time of the ride?

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 the two variables. Use a significance level of α=0.01. Does it appear that riders base their tips on the time of the ride?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 the two variables. Use a significance level of
α=0.01.
Does it appear that riders base their tips on the time of the ride?
 
Choose the correct graph below (attached image)
 
Determine the linear correlation coefficient.
 
The linear correlation coefficient is
r=_____
​(Round to three decimal places as​ needed.)
Determine the null and alternative hypotheses.
 
H0​:
ρ
▼
 
greater than>
equals=
not equals≠
less than<
enter your response here
H1​:
ρ
▼
 
equals=
not equals≠
less than<
greater than>
enter your response here
​(Type integers or decimals. Do not​ round.)
Determine the test statistic.
 
The test statistic is
t=______
​(Round to two decimal places as​ needed.)
Determine the​ P-value.
 
The​ P-value is: ______
​(Round to three decimal places as​ needed.)
Determine the proper conclusion. Since the​ P-value of the linear correlation coefficient is
▼
 
less than or equal to
greater than
the significance​ level, there
▼
 
is not
is
sufficient evidence to
▼
 
support
reject
the claim that there is
▼
 
a
no
linear correlation between the time of the ride and tip amounts. It appears that riders
▼
 
base
do not base
their tips on the time of the ride.
Taxi data Distance 0.68 2.52 8.49 12.74 1.65 1.02 1.32 0.49 Time 6.00 18.00 31.00 27.00 11.00 8.00 8.00 2.00 Fare 6.30 14.30 31.75 36.80 9.80 7.80 7.80 4.80 Tip 1.89 4.29 2.98 0.00 1.96 2.34 0.00 0.00
Transcribed Image Text:Taxi data Distance 0.68 2.52 8.49 12.74 1.65 1.02 1.32 0.49 Time 6.00 18.00 31.00 27.00 11.00 8.00 8.00 2.00 Fare 6.30 14.30 31.75 36.80 9.80 7.80 7.80 4.80 Tip 1.89 4.29 2.98 0.00 1.96 2.34 0.00 0.00
O A. OC. D. 25 25- A 25- 25- 0- 0- 35 C Ride time (minutes) 35 Ride time (minutes) 35 C Ride time (minutes) 35 E Ride time (minutes) Tip Amount ($) Tip Amount ($) B. Tip Amount ($) Tip Amount ($)
Transcribed Image Text:O A. OC. D. 25 25- A 25- 25- 0- 0- 35 C Ride time (minutes) 35 Ride time (minutes) 35 C Ride time (minutes) 35 E Ride time (minutes) Tip Amount ($) Tip Amount ($) B. Tip Amount ($) Tip Amount ($)
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