Explanation Given: The per-capita consumption, in gallons, of bottled water in the United States from 2009 through 2015 is given in the following table: Year 2009 2010 2011 2012 2013 2014 Sales, y 27.6 28.3 29.2 30.8 32.0 34.0 Assume, x = 0 correspond to 2009. Formula Used: The formula to calculate the equation of the least-squares line is given by, y = a + b x Here, a is the intercept of the line and b is the slope of the line. The formula to calculate the slope of the line is given by, b = n ∑ x y − ( ∑ x ) ( ∑ y ) n ∑ x 2 − ( ∑ x ) 2 Here, n is the number of year given in the table. The formula to calculate the intercept of the line is given by, a = ∑ y − b ( ∑ x ) n Conclusion: Since, x = 0 correspond to 2009. Calculate x y and x 2 from the table. Year, x Sales, y x y x 2 0 27.6 0 0 1 28.3 28.3 1 2 29.2 58.4 4 3 30.8 92.4 9 4 32.0 128 16 5 34 To determine b) The average rate of increase of the per-capita bottled water consumption from 2009 through 2014. To determine c) The per-capita bottled water consumption in 2016.

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ISBN: 8220103649001

Author: Tan

Publisher: CENGAGE L

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Question

Chapter 1.CRE, Problem 42CRE

To determine

a)

The equation of the least-squares line for the given data.

To determine

b)

The average rate of increase of the per-capita bottled water consumption from 2009 through 2014.

To determine

c)

The per-capita bottled water consumption in 2016.

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Chapter 1.CRE, Problem 41CRE

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