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. Predict the price in dollars per million Btu for the year 2010. Then calculate the residual for the year 2010 if the actual price in 2010 was $11.57 per million Btu.       b. What is the correlation coefficient, rounded to two decimal places. Is the linear association between the variables “weak” or “strong”? How do you know?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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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. Predict the price in dollars per million Btu for the year 2010. Then calculate the residual for the year 2010 if the actual price in 2010 was $11.57 per million Btu.

 

 

 

b. What is the correlation coefficient, rounded to two decimal places. Is the linear association between the variables “weak” or “strong”? How do you know?

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