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: 9781259724275

Author: William Navidi, Barry Monk

Publisher: McGraw-Hill Education

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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 2nd Edition

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? 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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.