Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 12, Problem 23P
The Regression Equation
Use the following information to answer the next five exercises. A random sample of ten professional athletes produced the
following data where x is the number of endorsements the player has and y is the amount of money made (in millions of
dollars).
x | y | x | y |
0 | 2 | 5 | 12 |
3 | 8 | 4 | 9 |
2 | 7 | 3 | 9 |
1 | 3 | 0 | 3 |
5 | 13 | 4 | 10 |
Table 12.13
What is the slope of the line of best fit? What does it represent?
Expert Solution & Answer
Trending nowThis is a popular solution!
Chapter 12 Solutions
Introductory Statistics
Ch. 12 - Is the following an example of a linear equation?...Ch. 12 - Is the following an example of a linear equation?...Ch. 12 - Emma’s Extreme Sports hires hang-gliding...Ch. 12 - Ethan repairs household appliances like...Ch. 12 - Amelia plays basketball for her high school. She...Ch. 12 - SCUBA divers have maximum dive times they cannot...Ch. 12 - For a given line of best fit, you computed that r...Ch. 12 - For a given line of best fit, you compute that r =...Ch. 12 - For a given line of best fit, you compute that r =...Ch. 12 - For a given line of best fit, you compute that r =...
Ch. 12 - Data are collected on the relationship between the...Ch. 12 - Identify the potential outlier in the scatter...Ch. 12 - The data points for the graph from the third...Ch. 12 - The following table shows economic development...Ch. 12 - Linear Equations Use the following information to...Ch. 12 - Linear Equations Use the following information to...Ch. 12 - Linear Equations Use the following information to...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Is the equation y=10+5x3x2 linear? Why or why not?Ch. 12 - Which of the following equations are linear? a....Ch. 12 - Does the graph show a linear equation? Why or why...Ch. 12 - Use the columns "year" and "# flu cases diagnosed....Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Does the scatter plot appear linear? Strong or...Ch. 12 - Does the scatter plot appear linear? Strong or...Ch. 12 - Does the scatter plot appear linear? Strong or...Ch. 12 - The Regression Equation Use the following...Ch. 12 - The Regression Equation Use the following...Ch. 12 - The Regression Equation Use the following...Ch. 12 - The Regression Equation Use the following...Ch. 12 - The Regression Equation Use the following...Ch. 12 - What does an r value of zero mean?Ch. 12 - When n = 2 and r = 1, are the data significant?...Ch. 12 - When n = 100 and r = -0.89, is there a significant...Ch. 12 - When testing the significance of the correlation...Ch. 12 - When testing the significance of the correlation...Ch. 12 - If the level of significance is 0.05 and the...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Graph “year” versus “# flu cases diagnosed” (plot...Ch. 12 - Perform linear regression. What is the linear...Ch. 12 - Find the correlation coefficient. a. r = ________Ch. 12 - Solve. a. When x = 1985, y = _____ b. When x =...Ch. 12 - Does the line seem to fit the data? Why or why...Ch. 12 - What does the correlation imply about the...Ch. 12 - Plot the two given points on the following graph....Ch. 12 - Write the equation: y= ____________Ch. 12 - Hand draw a smooth curve on the graph that shows...Ch. 12 - Does the line seem to fit the data? Why or why...Ch. 12 - Do you think a linear fit is best? Why or why not?Ch. 12 - What does the correlation imply about the...Ch. 12 - Graph “year” vs. “# flu cases diagnosed.” Do not...Ch. 12 - Enter your data into your calculator or computer....Ch. 12 - Find the correlation coefficient. a. correlation =...Ch. 12 - Outliers Use the following information to answer...Ch. 12 - Outliers Use the following information to answer...Ch. 12 - Outliers Use the following information to answer...Ch. 12 - Outliers Use the following information to answer...Ch. 12 - The Sum of Squared Errors for a data set of 18...Ch. 12 - The Standard Deviation for the Sum of Squared...Ch. 12 - For each of the following situations, state the...Ch. 12 - Piece-rate systems are widely debated incentive...Ch. 12 - The Gross Domestic Product Purchasing Power Parity...Ch. 12 - The following table shows the poverty rates and...Ch. 12 - Does the higher cost of tuition translate into...Ch. 12 - If the level of significance is 0.05 and the...Ch. 12 - If there are 15 data points in a set of data, what...Ch. 12 - What is the process through which we can calculate...Ch. 12 - Explain what it means when a correlation has an r2...Ch. 12 - Can a coefficient of determination be negative?...Ch. 12 - Recently, the annual number of driver deaths per...Ch. 12 - Table 12.20 shows the life expectancy for an...Ch. 12 - The maximum discount value of the Entertainment®...Ch. 12 - Table 12.22 gives the gold medal times for every...Ch. 12 - State # letters in name Year entered the Union...Ch. 12 - The height (sidewalk to roof) of notable tall...Ch. 12 - Ornithologists, scientists who study birds, tag...Ch. 12 - The following table shows data on average per...Ch. 12 - The following table consists of one student...Ch. 12 - A researcher is investigating whether population...Ch. 12 - School Mid-Career Salary (in thousands) Yearly...Ch. 12 - The average number of people in a family that...Ch. 12 - The percent of female wage and salary workers who...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - According to a flyer by a Prudential Insurance...Ch. 12 - The following are advertised sale prices of color...Ch. 12 - Table 12.34 shows the average heights for American...Ch. 12 - State # letters in name Year entered the Union...
Additional Math Textbook Solutions
Find more solutions based on key concepts
In the following exercises, use the graph of function y=f(x) shown here to find the value, if possible. Estimat...
Calculus Volume 1
In Exercises 5-36, express all probabilities as fractions.
23. Combination Lock The typical combination lock us...
Elementary Statistics
The sampling distribution of the sample mean for samples of size 3. To interpret: In terms of the distribution ...
Introductory Statistics (10th Edition)
1. What is a random variable?
Fundamentals of Statistics (5th Edition)
In Exercises 5-36, express all probabilities as fractions.
23. Combination Lock The typical combination lock us...
Essentials of Statistics, Books a la Carte Edition (5th Edition)
TRY IT YOURSELF 1
Find the mean of the points scored by the 51 winning teams listed on page 39.
Elementary Statistics: Picturing the World (7th Edition)
Knowledge Booster
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
- Life Expectancy The following table shows the average life expectancy, in years, of a child born in the given year42 Life expectancy 2005 77.6 2007 78.1 2009 78.5 2011 78.7 2013 78.8 a. Find the equation of the regression line, and explain the meaning of its slope. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 2019? e. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1580?2300arrow_forwardXYZ Corporation Stock Prices The following table shows the average stock price, in dollars, of XYZ Corporation in the given month. Month Stock price January 2011 43.71 February 2011 44.22 March 2011 44.44 April 2011 45.17 May 2011 45.97 a. Find the equation of the regression line. Round the regression coefficients to three decimal places. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict the stock price to be in January 2012? January 2013?arrow_forwardExplain how to interpret the absolute value of acorrelation coefficient.arrow_forward
- Noise and Intelligibility Audiologists study the intelligibility of spoken sentences under different noise levels. Intelligibility, the MRT score, is measured as the percent of a spoken sentence that the listener can decipher at a cesl4ain noise level in decibels (dB). The table shows the results of one such test. (a) Make a scatter plot of the data. (b) Find and graph the regression line. (c) Find the correlation coefficient. Is a linear model appropriate? (d) Use the linear model in put (b) to estimate the intelligibility of a sentence at a 94-dB noise level.arrow_forwardFind the equation of the regression line for the following data set. x 1 2 3 y 0 3 4arrow_forwardDVD Player sales The table shows the number of DVD play-ers sold in a small electronics store in the years 2003-2013. What was the average rate of change of sales between 2003 and 2013? Whatwas the average rate of change of sales between 2003 and 2004? What was the average rate of change of sales between 2004 and 2005? Between which two successive years did DVD player sales increase most quickly?arrow_forward
- DVD Player Sales The table shows the number of DVD players sold in a small electronics store in the years 2003-2013. Year DVD players sold 2003 495 2004 513 2005 410 2006 402 2007 520 2008 580 2009 631 2010 719 2011 624 2012 582 2013 635 aWhat was the average rate of change of sales between 2003 and 2013? bWhat was the average rate of change of sales between 2003 and 2004? cWhat was the average rate of change of sales between 2004 and 2005? dBetween which two successive years did DVD player sales increase most quickly? Decrease most quickly?arrow_forwardFor the following exercises, consider the data in Table 5, which shows the percent of unemployed ina city of people 25 years or older who are college graduates is given below, by year. 40. Based on the set of data given in Table 6, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient to three decimal places.arrow_forwardFor the following exercises, consider the data in Table 5, which shows the percent of unemployed in a city ofpeople25 years or older who are college graduates is given below, by year. 41. Based on the set of data given in Table 7, calculatethe regression line using a calculator or othertechnology tool, and determine the correlationcoefficient to three decimal places.arrow_forward
- Cable TV The following table shows the number C. in millions, of basic subscribers to cable TV in the indicated year These data are from the Statistical Abstract of the United States. Year 1975 1980 1985 1990 1995 2000 C 9.8 17.5 35.4 50.5 60.6 60.6 a. Use regression to find a logistic model for these data. b. By what annual percentage would you expect the number of cable subscribers to grow in the absence of limiting factors? c. The estimated number of subscribers in 2005 was 65.3million. What light does this shed on the model you found in part a?arrow_forwardWhat is interpolation when using a linear model?arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
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