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 α=0.05. If everyone were to tip with the same​ percentage, what should be the value of​ r?   Bill​ (dollars) 33.25 50.89 88.90 103.74 62.59 106.83   Tip​ (dollars) 4.00 4.60 11.73 14.46 6.71 16.29   Construct a scatterplot. Choose the correct graph below.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
icon
Related questions
icon
Concept explainers
Question
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
α=0.05.
If everyone were to tip with the same​ percentage, what should be the value of​ r?
 
Bill​ (dollars)
33.25
50.89
88.90
103.74
62.59
106.83
 
Tip​ (dollars)
4.00
4.60
11.73
14.46
6.71
16.29
 
Construct a scatterplot. Choose the correct graph below.
 
 
A.
 
 
 
30120025Bill Amount ($)Tip Amount ($)
 
  •  
  •  
  •  
A scatterplot has a horizontal axis labeled Bill Amount in dollars from 30 to 120 in increments of 10 and a vertical axis labeled Tip Amount in dollars from 0 to 25 in increments of 5. Six plotted points follow the pattern of a curve falling from left to right passing through the points (45, 16.2), (85, 6.8), and; (115, 4). All coordinates are approximate.
 
B.
 
 
 
30120025Bill Amount ($)Tip Amount ($)
 
  •  
  •  
  •  
A scatterplot has a horizontal axis labeled Bill Amount in dollars from 30 to 120 in increments of 10 and a vertical axis labeled Tip Amount in dollars from 0 to 25 in increments of 5. Six plotted points follow the pattern of a curve falling from left to right passing through the points (35, 21), (65, 18.2), and (105, 8.8). All coordinates are approximate.
 
C.
 
 
 
30120025Bill Amount ($)Tip Amount ($)
 
  •  
  •  
  •  
A scatterplot has a horizontal axis labeled Bill Amount in dollars from 30 to 120 in increments of 10 and a vertical axis labeled Tip Amount in dollars from 0 to 25 in increments of 5. Six plotted points follow the pattern of a curve rising from left to right passing through the points (45, 8.8), (85, 18.2), and; (115, 21). All coordinates are approximate.
 
D.
 
 
 
30120025Bill Amount ($)Tip Amount ($)
 
  •  
  •  
  •  
A scatterplot has a horizontal axis labeled Bill Amount in dollars from 30 to 120 in increments of 10 and a vertical axis labeled Tip Amount in dollars from 0 to 25 in increments of 5. Six plotted points follow the pattern of a curve rising from left to right passing through the points (35, 4), (65, 6.8), and (105, 16.2). All coordinates are approximate.
The linear correlation coefficient is
r=nothing.
​(Round to three decimal places as​ needed.)
Determine the null and alternative hypotheses.
 
H0​:
ρ
 
less than<
not equals≠
equals=
greater than>
nothing
H1​:
ρ
 
not equals≠
less than<
greater than>
equals=
nothing
​(Type integers or decimals. Do not​ round.)
The test statistic is
t=nothing.
​(Round to two decimal places as​ needed.)
The​ P-value is
nothing.
​(Round to three decimal places as​ needed.)
Because the​ P-value of the linear correlation coefficient is
 
greater than
less than or equal to
the significance​ level, there
 
is not
is
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=nothing.
​(Round to three decimal places as​ needed.)
 
 

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill