Explanation Given information: A model in which previous values of a variable are used to predict future values of the same variable is called an autoregressive model. The following table presents the data needed to fit this model. Year This Year’sUnemployment Next Year’sUnemployment 1985 7.2 7.0 1986 7.0 6.2 1987 6.2 5.5 1988 5.5 5.3 1989 5.3 5.6 1990 5.6 6.8 1991 6.8 7.5 1992 7.5 6.9 1993 6.9 6.1 1994 6.1 5.6 1995 5.6 5.4 1996 5.4 4.9 1997 4.9 4.5 1998 4.5 4.2 1999 4.2 4.0 2000 4.0 4.7 2001 4.7 5.8 2002 5.8 6.0 2003 6.0 5.5 2004 5.5 5.1 2005 5.1 4.6 2006 4.6 4.6 2007 4.6 5.8 2008 5.8 9.3 2009 9.3 9.6 2010 9.6 8.9 2011 8.9 8.1 The least squares regression line for the given data set is y = 0.1448 x + 5.1838 Calculation: Residual is the difference between the given y value and y value calculated using the least squares regression line ( Y ). Residuals can be obtained using the table: Year x y Y = 0. 1448x + 5.1838 y - Y 1985 7.2 7.0 6.22636 0.77364 1986 7.0 6.2 6.19740 0.00260 1987 6.2 5.5 6.08156 -0.58156 1988 5.5 5.3 5.98020 -0.68020 1989 5.3 5.6 5.95124 -0.35124 1990 5.6 6.8 5.99468 0

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ISBN: 9780077836351

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Publisher: McGraw Hill

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Chapter 4, Problem 15CS

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To compute the residuals for the given least squares line and to check if the prediction is well or whether it overpredicts or underpredicts.

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Chapter 4, Problem 14CS

Chapter 5.1, Problem 5E

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Chapter 4 Solutions

Elementary Statistics (Text Only)

Ch. 4.1 - In Exercises 9-12, fill in each blank with the...Ch. 4.1 - In Exercises 9-12, fill in each blank with the...Ch. 4.1 - In Exercises 9-12, fill in each blank with the...Ch. 4.1 - In Exercises 9-12, fill in each blank with the...Ch. 4.1 - Prob. 13E Ch. 4.1 - Prob. 14E Ch. 4.1 - In Exercises 13-16, determine whether the...Ch. 4.1 - In Exercises 13-16, determine whether the...Ch. 4.1 - In Exercises 17-20, compute the correlation...Ch. 4.1 - In Exercises 17-20, compute the correlation...

Ch. 4.1 - In Exercises 17-20, compute the correlation...Ch. 4.1 - In Exercises 17-20, compute the correlation...Ch. 4.1 - In Exercises 21-24, determine whether the...Ch. 4.1 - In Exercises 21-24, determine whether the...Ch. 4.1 - In Exercises 21-24, determine whether the...Ch. 4.1 - In Exercises 21-24, determine whether the...Ch. 4.1 - In Exercises 25-30, determine whether the...Ch. 4.1 - In Exercises 25-30, determine whether the...Ch. 4.1 - In Exercises 25-30, determine whether the...Ch. 4.1 - In Exercises 25-30, determine whether the...Ch. 4.1 - In Exercises 25-30, determine whether the...Ch. 4.1 - In Exercises 25-30, determine whether the...Ch. 4.1 - Price of eggs and milk: The following table...Ch. 4.1 - Government funding: The following table presents...Ch. 4.1 - Pass the ball: The NFL Scouting Combine is an...Ch. 4.1 - Carbon footprint: Carbon dioxide (co2) is produced...Ch. 4.1 - Prob. 35E Ch. 4.1 - Prob. 36E Ch. 4.1 - Blood pressure: A blood pressure measurement...Ch. 4.1 - Prob. 38E Ch. 4.1 - Police and crime: In a survey of cities in the...Ch. 4.1 - Age and education: A survey of U.S. adults showed...Ch. 4.1 - Whats the correlation? In a sample of adults, the...Ch. 4.1 - Prob. 42E Ch. 4.1 - Changing means and standard deviations: A small...Ch. 4.2 - In Exercises 5-7, fill in each blank with the...Ch. 4.2 - In Exercises 5-7, fill in each blank with the...Ch. 4.2 - In Exercises 5-7, fill in each blank with the...Ch. 4.2 - Prob. 8E Ch. 4.2 - Prob. 9E Ch. 4.2 - Prob. 10E Ch. 4.2 - Prob. 11E Ch. 4.2 - Prob. 12E Ch. 4.2 - In Exercises 13-16, compute the least-squares...Ch. 4.2 - In Exercises 13-16, compute the least-squares...Ch. 4.2 - In Exercises 13-16, compute the least-squares...Ch. 4.2 - In Exercises 13-16, compute the least-squares...Ch. 4.2 - Compute the least-squares regression he for...Ch. 4.2 - Compute the least-squares regression he for...Ch. 4.2 - In a hypothetical study of the relationship...Ch. 4.2 - Assume in a study of educational level in years...Ch. 4.2 - Prices of egg and milk: The following table...Ch. 4.2 - Prob. 22E Ch. 4.2 - Pass the ball: The NFL Scouting Combine is an...Ch. 4.2 - Carbon footprint: Carbon dioxide (CO2) is produced...Ch. 4.2 - Foot temperatures: Foot ulcers are a common...Ch. 4.2 - Mortgage payments: The following table presents...Ch. 4.2 - Blood pressure: A blood pressure measurement...Ch. 4.2 - Butterfly wings: Do larger butterflies live...Ch. 4.2 - Interpreting technology: The following display...Ch. 4.2 - Interpreting technology: The following display...Ch. 4.2 - Interpreting technology: The following MINITAB...Ch. 4.2 - Interpreting technology: The following MINITAB...Ch. 4.2 - Prob. 33E Ch. 4.2 - Prob. 34E Ch. 4.2 - Least-squares regression line for z-scores: The...Ch. 4.3 - In Exercises 5-10, fill in each blank with the...Ch. 4.3 - In Exercises 5-10, fill in each blank with the...Ch. 4.3 - In Exercises 5-10, fill in each blank with the...Ch. 4.3 - In Exercises 5-10, fill in each blank with the...Ch. 4.3 - In Exercises 5-10, fill in each blank with the...Ch. 4.3 - Prob. 10E Ch. 4.3 - Prob. 11E Ch. 4.3 - In Exercises 11-14, determine whether the...Ch. 4.3 - Prob. 13E Ch. 4.3 - In Exercises 11-14, determine whether the...Ch. 4.3 - For the following data set: Compute the...Ch. 4.3 - For the following data set: Compute the...Ch. 4.3 - For the following data set: Compute the...Ch. 4.3 - For the following data set: Compute the...Ch. 4.3 - Prob. 19E Ch. 4.3 - Prob. 20E Ch. 4.3 - Prob. 21E Ch. 4.3 - Prob. 22E Ch. 4.3 - Prob. 23E Ch. 4.3 - Prob. 24E Ch. 4.3 - Mutant genes: In a study to determine whether the...Ch. 4.3 - Imports and exports: The following table presents...Ch. 4.3 - Energy consumption: The following table presents...Ch. 4.3 - Cost of health care: The following table presents...Ch. 4.3 - Prob. 29E Ch. 4.3 - Broadway: The following table presents the average...Ch. 4.3 - Prob. 31E Ch. 4.3 - Transforming a variable: The following table...Ch. 4.3 - Prob. 33E Ch. 4.3 - Prob. 34E Ch. 4 - Compute the correlation coefficient for the...Ch. 4 - The number of theaters showing the movie Monsters...Ch. 4 - Use the data in Exercise 2 to compute the...Ch. 4 - A scatterplot has a correlation of r=1. Describe...Ch. 4 - Prob. 5CQ Ch. 4 - The following table presents the average delay in...Ch. 4 - Use the least-squares regression line computed in...Ch. 4 - Use the least-squares regression line computed in...Ch. 4 - Prob. 9CQ Ch. 4 - A scatterplot has a least-squares regression line...Ch. 4 - Prob. 11CQ Ch. 4 - Prob. 12CQ Ch. 4 - A sample of students was studied to determine the...Ch. 4 - In a scatter-plot; the point (-2, 7) is...Ch. 4 - The correlation coefficient for a data set is...Ch. 4 - Prob. 1RE Ch. 4 - Prob. 2RE Ch. 4 - Hows your mileage? Weight (in tons) and fuel...Ch. 4 - Prob. 4RE Ch. 4 - Energy efficiency: A sample of 10 households was...Ch. 4 - Energy efficiency: Using the data in Exercise 5:...Ch. 4 - Prob. 7RE Ch. 4 - Prob. 8RE Ch. 4 - Prob. 9RE Ch. 4 - Prob. 10RE Ch. 4 - Baby weights: The average gestational age (time...Ch. 4 - Commute times: Every morning, Tania leaves for...Ch. 4 - Prob. 13RE Ch. 4 - Prob. 14RE Ch. 4 - Prob. 15RE Ch. 4 - Describe an example which two variables are...Ch. 4 - Two variables x and y have a positive association...Ch. 4 - Prob. 3WAI Ch. 4 - Prob. 4WAI Ch. 4 - Prob. 5WAI Ch. 4 - Prob. 6WAI Ch. 4 - Prob. 7WAI Ch. 4 - Prob. 8WAI Ch. 4 - Prob. 9WAI Ch. 4 - The following table, Reproduce from chapter...Ch. 4 - The following table, Reproduce from chapter...Ch. 4 - The following table. Reproduce from chapter...Ch. 4 - Prob. 4CS Ch. 4 - Prob. 5CS Ch. 4 - The relationship between inflation and...Ch. 4 - The relationship between inflation and...Ch. 4 - Relationship between inflation and unemployment is...Ch. 4 - Relationship between inflation and unemployment is...Ch. 4 - If we are going to use data from this year to...Ch. 4 - If we are going to use data from this year to...Ch. 4 - Prob. 12CS Ch. 4 - Prob. 13CS Ch. 4 - Prob. 14CS Ch. 4 - Prob. 15CS

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To compute the residuals for the given least squares line and to check if the prediction is well or whether it overpredicts or underpredicts.

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To calculate: To compute the residuals for the given least squares line and to check if the prediction is well or whether it overpredicts or underpredicts.

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Chapter 4 Solutions

To calculate:

To compute the residuals for the given least squares line and to check if the prediction is well or whether it overpredicts or underpredicts.