a. Explanation Given: The data is as shown below in table. Year 2007 2008 2009 2010 2011 Value 95.9 91.7 83.8 78.2 73.5 Formula used: “Suppose for n data points P 1 ( x 1 , y 1 ) , P 2 ( x 2 , y 2 ) , P 3 ( x 3 , y 3 ) … P n ( x n , y n ) . The least-squares line for the given data is given by linear equation y = m x + b . The normal equations are, ( x 1 2 + x 2 2 + x 3 2 + … + x n 2 ) m + ( x 1 + x 2 + x 3 + … + x n ) b = x 1 y 1 + x 2 y 2 + x 3 y 3 + … + x n y n (1) And, ( x 1 + x 2 + x 3 + … + x n ) m + n b = y 1 + y 2 + y 3 + … + y n . (2) Calculation: From the given data observe that x = 1 corresponds to 2007 and the new table is calculated as shown below, x 1 2 3 4 5 y 95.9 91.7 83.8 78.2 73.5 That is, x 1 = 1 , x 2 = 2 , x 3 = 3 , x 4 = 4 , x 5 = 5 and y 1 = 95.9 , y 2 = 91.7 , y 3 = 83.8 , y 4 = 78.2 , y 5 = 73.5 so n = 5 . Substitute the data points in normal equation (1), [ ( 1 2 + 2 2 + 3 2 + 4 2 + 5 2 ) m + ( 1 + 2 + 3 + 4 + 5 ) b ] = [ ( 1 ) ( 95.9 ) + ( 2 ) ( 91.7 ) + ( 3 ) ( 83 b. To determine To estimate: The volume of the first class mail in 2014 by using the results of part (a).

Applied Calculus for the Managerial, Life, and Social Sciences

10th Edition

ISBN: 9781305887831

Author: Tan

Publisher: CENGAGE CO

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Question

Chapter 8.4, Problem 18E

To determine

To find: The equation of least-squares line.

To determine

To estimate: The volume of the first class mail in 2014 by using the results of part (a).

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Chapter 8.4, Problem 17E

Chapter 8.4, Problem 19E

Chapter 8 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences

Ch. 8.1 - What is a function of two variables? Give an...Ch. 8.1 - Prob. 2CQ Ch. 8.1 - Prob. 3CQ Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Let f(x, y) = x2+ 2xy x + 3. Compute f(1, 2),...Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Let h(s, t) = s ln t t ln s. Compute h(1, e),...

Ch. 8.1 - Prob. 8E Ch. 8.1 - Let g(r, s, t) = res/t. Compute g(1, 1, 1), g(1,...Ch. 8.1 - Prob. 10E Ch. 8.1 - Prob. 11E Ch. 8.1 - Prob. 12E Ch. 8.1 - In Exercises 11-18, find the domain of the...Ch. 8.1 - Prob. 14E Ch. 8.1 - In Exercises 11-18, find the domain of the...Ch. 8.1 - Prob. 16E Ch. 8.1 - In Exercises 11-18, find the domain of the...Ch. 8.1 - Prob. 18E Ch. 8.1 - Prob. 19E Ch. 8.1 - Prob. 20E Ch. 8.1 - In Exercises 19-24, sketch the level curves of the...Ch. 8.1 - Prob. 22E Ch. 8.1 - In Exercises 1924, sketch the level curves of the...Ch. 8.1 - Prob. 24E Ch. 8.1 - Find an equation of the level curve of f (x, y) =...Ch. 8.1 - Prob. 26E Ch. 8.1 - Prob. 27E Ch. 8.1 - Prob. 28E Ch. 8.1 - Prob. 29E Ch. 8.1 - Prob. 30E Ch. 8.1 - Prob. 31E Ch. 8.1 - Prob. 32E Ch. 8.1 - Prob. 33E Ch. 8.1 - Prob. 34E Ch. 8.1 - Prob. 35E Ch. 8.1 - POISEITLLES LAW Poiseuilles Law states that the...Ch. 8.1 - COST FUNCTION FOR A LOUDSPEAKER SYSTEM Acrosonic...Ch. 8.1 - Prob. 38E Ch. 8.1 - REVENUE FUNCTIONS FOR DESKS Country Workshop...Ch. 8.1 - Prob. 40E Ch. 8.1 - 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