9. The following table shows data for the cost of natural gas in Maryland (in dollars per Million Btu) for x yearssince 1990.a. Define the explanatory and response variables for this problem.Price in $ perYearMillion Btu19906.3119916.1419926.32b. Use the calculator to obtain the linear regression line of best fit for theoriginal prices; round to three decimal places.Write this prediction equation in the form: ý = ax + b19936.7519946.819956.3419967.4619978.1219988.0419998.25In a brief sentence, interpret the slope in the context of the problem.с.20009.58200111.2820029.25d. Predict the price in dollars per million Btu for the year 2010. Then calculate the residual for the year2010 if the actual price in 2010 was $11.57 per million Btu.e. What is the correlation coefficient, rounded to two decimal places, Is the linear association between thevariables “weak" or “strong"? How do you know? Conduct an outlier test as defined by the OUTLIER FORMULA and indicate any low or high outliers.(Show all work)f.6.316.146.326.756.86.347.468.128.048.259,5811.28 9.25

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9. The following table shows data for the cost of natural gas in Maryland (in dollars per Million Btu) for x years since 1990.

MATLAB: An Introduction with Applications

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Question

9. The following table shows data for the cost of natural gas in Maryland (in dollars per Million Btu) for x years
since 1990.
a. Define the explanatory and response variables for this problem.
Price in $ per
Year
Million Btu
1990
6.31
1991
6.14
1992
6.32
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: ý = ax + b
1993
6.75
1994
6.8
1995
6.34
1996
7.46
1997
8.12
1998
8.04
1999
8.25
In a brief sentence, interpret the slope in the context of the problem.
с.
2000
9.58
2001
11.28
2002
9.25
d. 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.
e. What is the correlation coefficient, rounded to two decimal places, Is the linear association between the
variables “weak" or “strong"? How do you know?

Conduct an outlier test as defined by the OUTLIER FORMULA and indicate any low or high outliers.
(Show all work)
f.
6.31
6.14
6.32
6.75
6.8
6.34
7.46
8.12
8.04
8.25
9,58
11.28 9.25

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