Intro Stats, Books a la Carte Edition (5th Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134210285
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
bartleby

Concept explainers

bartleby

Videos

Textbook Question
Book Icon
Chapter 8, Problem 1E

Credit card spending An analysis of spending by a sample of credit card bank cardholders shows that spending by cardholders in January (Jan) is related to their spending in December (Dec):

Chapter 8, Problem 1E, Credit card spending An analysis of spending by a sample of credit card bank cardholders shows that , example  1

The assumptions and conditions of the linear regression seemed to be satisfied and an analyst was about to predict January spending using the model

J a n ^ = $ 612.07 + 0.403 D e c .

Another analyst worried that different types of cardholders might behave differently. She examined the spending patterns of the cardholders and placed them into five market Segments. When she plotted the data using different colors and symbols for the five different segments, she found the following:

Chapter 8, Problem 1E, Credit card spending An analysis of spending by a sample of credit card bank cardholders shows that , example  2

Look at this plot carefully and discuss why she might be worried about the predictions from the model

J a n ^ = $ 612.07 + 0.403 D e c .

Expert Solution & Answer
Check Mark
To determine

Being worried to make a prediction from the model Jan=$612.07+0.403Dec., using a second scatterplot.

Explanation of Solution

Given info:

A scatterplot of spending for a sample of credit card bank cardholders in January and in December is given. The corresponding regression model to predict January spending from December spending is Jan=$612.07+0.403Dec.

Another scatterplot of spending for a sample of credit card bank cardholders in January and that in December for five market segments is given.

Justification:

The conditions for a scatterplot that is well-fitted for the data is as follows:

  • Straight enough condition: The relationship between y and x is straight enough to proceed with a linear regression model.
  • Outlier condition: No outlier must be there which influences the fit of the least square line.
  • Thickness condition: The spread of the data around the generally straight relationship seems to be consistent for all values of x.

The different segments are not scattered at random throughout the scatterplot.

Thus, the spread of the data is not consistent for all values of December and each segment may have a different relationship that might affect the accuracy of the model to predict.

The relationship between the spending of credit card bank cardholders in January and in December is not straight enough to proceed with a linear regression model.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
explain the importance of the Hypothesis test in a business setting, and give an example of a situation where it is helpful in business decision making.
A college wants to estimate what students typically spend on textbooks. A report fromthe college bookstore observes that textbooks range in price from $22 to $186. Toobtain a 95% confidence level for a confidence interval estimate to plus or minus $10,how many students should the college survey? (We may estimate the populationstandard deviation as (range) ÷ 4.)
In a study of how students give directions, forty volunteers were given the task ofexplaining to another person how to reach a destination. Researchers measured thefollowing five aspects of the subjects’ direction-giving behavior:• whether a map was available or if directions were given from memory without a map,• the gender of the direction-giver,• the distances given as part of the directions,• the number of times directions such as “north” or “left” were used,• the frequency of errors in directions. Identify each of the variables in this study, and whether each is quantitative orqualitative. For each quantitative variable, state whether it is discrete or continuous. Was this an observational study or an experimental study? Explain your answer.

Chapter 8 Solutions

Intro Stats, Books a la Carte Edition (5th Edition)

Ch. 8 - Prob. 5ECh. 8 - Prob. 6ECh. 8 - Prob. 7ECh. 8 - Prob. 8ECh. 8 - Prob. 9ECh. 8 - Prob. 10ECh. 8 - Skinned knees There is a strong correlation...Ch. 8 - Prob. 12ECh. 8 - Prob. 13ECh. 8 - Average GPA An athletic director proudly states...Ch. 8 - Prob. 15ECh. 8 - Prob. 16ECh. 8 - BK protein Recall the data about the Burger King...Ch. 8 - Prob. 18ECh. 8 - Prob. 19ECh. 8 - Prob. 20ECh. 8 - Prob. 21ECh. 8 - Prob. 22ECh. 8 - Prob. 23ECh. 8 - Prob. 24ECh. 8 - Good model? In justifying his choice of a model, a...Ch. 8 - Prob. 26ECh. 8 - Movie dramas Heres a scatterplot of the production...Ch. 8 - Prob. 28ECh. 8 - Oakland passengers 2016 The scatterplot below...Ch. 8 - Prob. 30ECh. 8 - Unusual points Each of these four scatterplots...Ch. 8 - More unusual points Each of the following...Ch. 8 - Prob. 33ECh. 8 - Prob. 34ECh. 8 - Prob. 35ECh. 8 - Whats the effect? A researcher studying violent...Ch. 8 - Reading To measure progress in reading ability,...Ch. 8 - Prob. 38ECh. 8 - Heating After keeping track of his heating...Ch. 8 - Speed How does the speed at which you drive affect...Ch. 8 - Prob. 41ECh. 8 - Prob. 42ECh. 8 - TBill rates 2016 revisited In Exercise 41, you...Ch. 8 - Prob. 44ECh. 8 - Prob. 45ECh. 8 - Prob. 46ECh. 8 - Elephants and hippos We removed humans from the...Ch. 8 - Prob. 48ECh. 8 - Prob. 49ECh. 8 - Prob. 50ECh. 8 - Prob. 51ECh. 8 - Prob. 52ECh. 8 - Inflation 2016 The Consumer Price Index (CPI)...Ch. 8 - Prob. 54ECh. 8 - Prob. 55ECh. 8 - Prob. 56ECh. 8 - Prob. 57ECh. 8 - Prob. 58ECh. 8 - Prob. 59ECh. 8 - Prob. 60ECh. 8 - Prob. 61ECh. 8 - Prob. 62ECh. 8 - Prob. 63ECh. 8 - Boyle Scientist Robert Boyle examined the...Ch. 8 - Brakes The following table shows stopping...Ch. 8 - Pendulum A student experimenting with a pendulum...Ch. 8 - Planets Here is a table of the 9 sun-orbiting...Ch. 8 - Is Pluto a planet? Lets look again at the pattern...Ch. 8 - Planets and asteroids The asteroid belt between...Ch. 8 - Prob. 71ECh. 8 - Prob. 72ECh. 8 - Logs (not logarithms) The value of a log is based...Ch. 8 - Prob. 74ECh. 8 - Life expectancy history The table gives the Life...Ch. 8 - Prob. 76ECh. 8 - Prob. 77ECh. 8 - Prob. 78ECh. 8 - Prob. 79ECh. 8 - Prob. 80E
Knowledge Booster
Background pattern image
Statistics
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.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Text book image
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Text book image
College Algebra
Algebra
ISBN:9781938168383
Author:Jay Abramson
Publisher:OpenStax
Text book image
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Text book image
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
Text book image
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Correlation Vs Regression: Difference Between them with definition & Comparison Chart; Author: Key Differences;https://www.youtube.com/watch?v=Ou2QGSJVd0U;License: Standard YouTube License, CC-BY
Correlation and Regression: Concepts with Illustrative examples; Author: LEARN & APPLY : Lean and Six Sigma;https://www.youtube.com/watch?v=xTpHD5WLuoA;License: Standard YouTube License, CC-BY