Explanation Correlation coefficient : The correlation coefficient, r , is a quantity that measures the strength of the linear relationship between two variables. The value of r lies between –1 and 1, both inclusive. A value of r closer to 1 indicates a strong positive linear relationship, with r = 1 implying a perfect positive linear relation; a value of r closer to –1 indicates a strong negative linear relationship, with r = − 1 implying a perfect negative linear relation; a value of r closer to 0 indicates a weak linear relationship. Scatterplot for r = 1 : Here, let the variables be denoted by x and y . It is given that r = 1 . Thus, the relationship between x and y is perfectly linear, with all points lying on a straight line with a positive slope. The scatterplot is drawn as follows: Graphical procedure: Step-by-step procedure to draw the scatterplot with r = 1 is given below: Draw the horizontal axis and mark it as x . Draw the vertical axis and mark it as y

Bundle: Introduction to Statistics and Data Analysis, 5th + WebAssign Printed Access Card: Peck/Olsen/Devore. 5th Edition, Single-Term

5th Edition

ISBN: 9781305620711

Author: Roxy Peck, Chris Olsen, Jay L. Devore

Publisher: Cengage Learning

See similar textbooks

Question

Chapter 5.1, Problem 4E

To determine

Construct a scatterplot for each of r=1 and for r=−1.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 5.1, Problem 3E

Chapter 5.1, Problem 5E

Chapter 5 Solutions

Bundle: Introduction to Statistics and Data Analysis, 5th + WebAssign Printed Access Card: Peck/Olsen/Devore. 5th Edition, Single-Term

Ch. 5.1 - For each of the scatterplots shown, answer the...Ch. 5.1 - For each of the following pairs of variables,...Ch. 5.1 - Is the following statement correct? Explain why or...Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E Ch. 5.1 - The accompanying data are x = Cost (cents per...Ch. 5.1 - The authors of the paper Flat-footedness Is Not a...Ch. 5.1 - Prob. 8E Ch. 5.1 - Prob. 9E Ch. 5.1 - The accompanying data were read from graphs that...

Ch. 5.1 - It may seem odd, but one of the ways biologists...Ch. 5.1 - An auction house released a list of 25 recently...Ch. 5.1 - A sample of automobiles traversing a certain...Ch. 5.2 - Two scatterplots are shown below. Explain why it...Ch. 5.2 - The authors of the paper Statistical Methods for...Ch. 5.2 - Prob. 16E Ch. 5.2 - A sample of 548 ethnically diverse students from...Ch. 5.2 - The relationship between hospital patient-to-nurse...Ch. 5.2 - Prob. 19E Ch. 5.2 - Prob. 20E Ch. 5.2 - Studies have shown that people who suffer sudden...Ch. 5.2 - The data given in the previous exercise on x =...Ch. 5.2 - An article on the cost of housing in Califomia...Ch. 5.2 - The following data on sale price, size, and...Ch. 5.2 - Explain why it can be dangerous to use the...Ch. 5.2 - The sales manager of a large company selected a...Ch. 5.2 - Explain why the slope b of the least-squares line...Ch. 5.2 - Prob. 28E Ch. 5.3 - Does it pay to stay in school? The report Trends...Ch. 5.3 - The data in the accompanying table is from the...Ch. 5.3 - Prob. 31E Ch. 5.3 - Prob. 32E Ch. 5.3 - Some types of algae have the potential to cause...Ch. 5.3 - Prob. 34E Ch. 5.3 - Prob. 35E Ch. 5.3 - Prob. 36E Ch. 5.3 - The article Examined Life: What Stanley H. Kaplan...Ch. 5.3 - Prob. 38E Ch. 5.3 - The article California State Parks Closure List...Ch. 5.3 - The article referenced in the previous exercise...Ch. 5.3 - A study was carried out to investigate the...Ch. 5.3 - Both r2 and se are used to assess the fit of a...Ch. 5.3 - Prob. 43E Ch. 5.4 - Prob. 44E Ch. 5.4 - The paper Aspects of Food Finding by Wintering...Ch. 5.4 - Food intake of grazing animals is limited by the...Ch. 5.4 - Prob. 47E Ch. 5.4 - Prob. 48E Ch. 5.4 - The paper Population Pressure and Agricultural...Ch. 5.4 - Determining the age of an animal can sometimes be...Ch. 5.5 - The paper How Lead Exposure Relates to Temporal...Ch. 5.5 - The following quote is from the paper Evaluation...Ch. 5 - The accompanying data represent x = Amount of...Ch. 5 - The paper A Cross-National Relationship Between...Ch. 5 - The following data on x = Score on a measure of...Ch. 5 - Prob. 58CR Ch. 5 - Prob. 59CR Ch. 5 - Prob. 60CR Ch. 5 - The paper Effects of Canine Parvovirus (CPV) on...Ch. 5 - The paper Aspects of Food Finding by Wintering...Ch. 5 - Data on salmon availability (x) and the percentage...Ch. 5 - No tortilla chip lover likes soggy chips, so it is...Ch. 5 - The article Reduction is Soluble Protein and...Ch. 5 - An accurate assessment of oxygen consumption...Ch. 5 - Consider the four (x, y) pairs (0, 0), (1, 1), 1,...Ch. 5 - Prob. 1CRE Ch. 5 - Data from a survey of 1046 adults age 50 and older...Ch. 5 - Prob. 3CRE Ch. 5 - Prob. 4CRE Ch. 5 - Prob. 5CRE Ch. 5 - In August 2009, Harris Interactive released the...Ch. 5 - Prob. 7CRE Ch. 5 - Prob. 8CRE Ch. 5 - Prob. 9CRE Ch. 5 - Prob. 10CRE Ch. 5 - Prob. 11CRE Ch. 5 - Prob. 12CRE Ch. 5 - Prob. 13CRE Ch. 5 - Cost-to-charge ratios (the percentage of the...Ch. 5 - Prob. 15CRE Ch. 5 - In the article Reproductive Biology of the Aquatic...Ch. 5 - Prob. 17CRE Ch. 5 - Prob. 18CRE Ch. 5 - The paper “Population Pressure and Agricultural...Ch. 5 - Anabolic steroid abuse has been increasing despite...Ch. 5 - Prob. 69E Ch. 5 - Prob. 70E Ch. 5 - Prob. 71E Ch. 5 - Prob. 72E Ch. 5 - Suppose the hypothetical data below are from a...Ch. 5 - Prob. 74E

Knowledge Booster

Similar questions

Find P(H2C1).
If p vanes inversely with q and p=5when q=6 , find the equation that relates p and q.

Recommended textbooks for you

Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Elementary Algebra
Algebra
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:OpenStax - Rice University
College Algebra
Algebra
ISBN:9781337282291
Author:Ron Larson
Publisher:Cengage Learning