The following table shows data for the cost of natural gas in Maryland (in dollars per Million Btu) for x years since 1990.   Year   x Price in $ per Million Btu 1990   6.31 1991   6.14 1992   6.32 1993   6.75 1994   6.8 1995   6.34 1996   7.46 1997   8.12 1998   8.04 1999   8.25 2000   9.58 2001   11.28 2002   9.25   a. Define the explanatory and response variables for this problem.       b. Use the calculator to obtain the linear regression line of best fit for the original prices; round to three decimal places. Write this prediction equation in the form:     a. In a brief sentence, interpret the slope in the context of the problem.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 25EQ
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The following table shows data for the cost of natural gas in Maryland (in dollars per Million Btu) for x years since 1990.

 

Year

 


x

Price in $ per Million Btu

1990

 

6.31

1991

 

6.14

1992

 

6.32

1993

 

6.75

1994

 

6.8

1995

 

6.34

1996

 

7.46

1997

 

8.12

1998

 

8.04

1999

 

8.25

2000

 

9.58

2001

 

11.28

2002

 

9.25

 

a. Define the explanatory and response variables for this problem.

 

 

 

b. Use the calculator to obtain the linear regression line of best fit for the original prices; round to three decimal places.
Write this prediction equation in the form:

 

 

a. In a brief sentence, interpret the slope in the context of the problem.

 

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