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. of a = 0.01. If everyone were to tip with the same percentage, what should be the value of r? a claim of linear correlation between the two variables. Use a significance level Bill (dollars) Tip (dollars) 32.09 48.22 86.98 102.71 66.52 112.46 6.08 5.24 16.05 12.31 7.27 14.62

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 1AGP
icon
Related questions
Question

h9

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 a = 0.01. If everyone were to tip with the same percentage, what should be the value of r?
Bill (dollars)
Tip (dollars)
32.09
48.22
86.98
102.71
66.52
112.46
6.08
5.24
16.05
12.31
7.27
14.62
Transcribed Image Text: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 a = 0.01. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) Tip (dollars) 32.09 48.22 86.98 102.71 66.52 112.46 6.08 5.24 16.05 12.31 7.27 14.62
The linear correlation coefficient is r= .908 .
(Round to three decimal places as needed.)
Determine the null and alternative hypotheses.
Ho:p =
(Type integers or decimals. Do not round.)
The test statistic is t= 4.33.
(Round to two decimal places as needed.)
The P-value is .012.
(Round to three decimal places as needed.)
Because the P-value of the linear correlation coefficient is less than or equal to the significance level, there
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= 1.
(Round to three decimal places as needed.)
Transcribed Image Text:The linear correlation coefficient is r= .908 . (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho:p = (Type integers or decimals. Do not round.) The test statistic is t= 4.33. (Round to two decimal places as needed.) The P-value is .012. (Round to three decimal places as needed.) Because the P-value of the linear correlation coefficient is less than or equal to the significance level, there 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= 1. (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

Blurred answer
Knowledge Booster
Pythagoras' Theorem
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
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning

Expert Answers to Latest Homework Questions

Q: Don't use ai to answer I will report your answer Solve it Asap with explanation and calculation
Q: Don't use ai to answer I will report your answer Solve it Asap with explanation and calculation
Q: Don't use ai to answer I will report your answer Solve it Asap with explanation and calculation of…
Q: Don't use Ai
Q: Samy Inc. operated at its normal capacity during the current year, producing 75,000 units of its…
Q: Don't use chatgpt it chat gpt means downvote solve correctly
Q: 6 ft D -4 ft- -4 ft- B | Determine the normal force at point b using method of section if w =…
Q: Draw a curved arrow mechanism for the following reaction. Add/Remove step X H H B H BH₂
Q: You purchase an RV by making a down payment of $10,500. The terms of your finance agreement have an…
Q: 8. Which of the following cannot be listed as the objective of this experiment? Study the refraction…
Q: The aquation of tris(1,10-phenanthroline)iron(II) in acid solution takes place according to the…
Q: < :0: NaNH2 Drawing
Q: You work in the mergers and acquisitions department of a large conglomerate who is looking to invest…
Q: with this HMR spectroscopy what is the compound that relates to it? BTW there are supposed to be 6…
Q: None
Q: Copper metal can be obtained by roasting copper oxide, CuO, with carbon monoxide as shown in the…
Q: None
Q: None
Q: help please answer in text form with proper workings and explanation for each and every part and…
Q: None
Q: The 'pizza connection' is the principle that the price of a slice of pizza is always about the same…