Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Textbook Question
Chapter 12, Problem 22P
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
Draw the line of best fit on the
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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...
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- A regression was run to determine whether there is arelationship between the diameter of a tree (x, in inches) and the tree’s age (y, in years). Theresults of the regression are given below. Use this topredict the age of a tree with diameter 10 inches. y=ax+ba=6.301b=1.044r=0.970arrow_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_forwardLife 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_forward
- Remainder Round all answers to two decimal places unless otherwise indicated. Cell Phones The following table gives the amount spent on cellular service worldwide, in trillions of U.S. dollars. Round the regression parameters to three decimal places. Date Cellular service revenue 2011 1.01 2012 1.05 2013 1.09 2014 1.11 a.Plot the data points. b.Find the equation of the regression line and add its graph to the plotted data. c.In 2015, 1.14 trillion was spent on cellular service. If you had been a financial strategist in 2014 with only the data in the table above available, what would been your prediction for the amount spent on cellular service in 2015?arrow_forwardSpecial Rounding Instructions For this exercise set, round all regression parameters to three decimal places, but round all other answers to two decimal places unless otherwise indicated. Postal RatesThe table below shows the cost s, in cents, of a domestic first-class postage stamp in the United States tyears after 1900. t=time,inyearssince1900 s=costofstamp 19 2 32 3 58 4 71 8 78 15 85 22 95 32 102 37 109 44 116 47 a.Use exponential regression to model s as an exponential function of t. b.What cost does your model give for a 1988 stamp? Report your answer to the nearest cent. The actual cost was 25cents. c.Plot the data and the exponential model.arrow_forwardA regression was run to determine whether there isa relationship between hours of TV watched per day (x) and number of sit-ups a person can do (y). The results of the regression are given below. Use this topredict the number of situps a person who watches 11 hours of TV can do. y=ax+b a=1.341 b=32.234 r=0.896arrow_forward
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