g. By caleulator, find and label, the 5-number summary of the Natural Gas Price in $ per Million Btu. 7.39 6.28 6.01 |6.26 6.89 6.75 6.45 8.09 8.00 8.14 9.47 11.24 9.27 h. Create a BOXPLOT of the Natural Gas Price in $ per Million Btu. Show an appropriate scale along the number line. 6.89 6.75 6.28 6.01 6.26 6.45 7.39 8.09 8.00 8.14 9.47 11.24 9.27 i. Conduct an outlier test as defined by the OUTLIER FORMULA for Natural Gas Price in $ per Million Btu and isndicate any low or high outliers. (Show all work) 6.28 6.01 6.26 6.89 6.75 6.45 7.39 8.09 8.00 8.14 9.47 11.24 9.27

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.CR: Chapter 1 Review
Problem 86CR
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g. By calculator, find and label, the 5-number summary of the Natural Gas Price in $ per Million Btu.
11.24 9.27
6.28
6.01
6.26
6.89
6.75
6.45
7.39
8.09
8.00
8.14
9.47
h. Create a BOXPLOT of the Natural Gas Price in $ per Million Btu.
Show an appropriate scale along the number line.
6.28
6.01
6.26
6.89
6.75
6.45
7.39
8.09
8.00
8.14
9.47
11.24 9.27
i. Conduct an outlier test as defined by the OUTLIER FORMULA for Natural Gas Price in $ per Million
Btu and indicute any low or high outliers.
(Show all work)
6.28
6.01
6.26
6.89
6.75
6.45
7.39
8.09
8.00
8.14
9.47
11.24 9.27
Transcribed Image Text:g. By calculator, find and label, the 5-number summary of the Natural Gas Price in $ per Million Btu. 11.24 9.27 6.28 6.01 6.26 6.89 6.75 6.45 7.39 8.09 8.00 8.14 9.47 h. Create a BOXPLOT of the Natural Gas Price in $ per Million Btu. Show an appropriate scale along the number line. 6.28 6.01 6.26 6.89 6.75 6.45 7.39 8.09 8.00 8.14 9.47 11.24 9.27 i. Conduct an outlier test as defined by the OUTLIER FORMULA for Natural Gas Price in $ per Million Btu and indicute any low or high outliers. (Show all work) 6.28 6.01 6.26 6.89 6.75 6.45 7.39 8.09 8.00 8.14 9.47 11.24 9.27
1. The following table shows data for the cost of natural gas in Maryland (in dollars per Million Btu) forx years
since 1990, values in x column.
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.
a.
Write the prediction equation in the form: j = a+ bx
Year
Price in $ per Million Btu, y
1990
6.28
1991
6.01
1992
2
6.26
1993
3
6.89
1994
4
6.75
1995
5
6.45
1996
6
7.39
1997
7
8.09
1998
8
8.00
1999
9
8.14
10 9.47
11 11.24
12 9.27
2000
2001
2002
In a brief sentenee, interpret the slope in the context of the problem.
с.
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 $11.31 per million Btu. Use
formula provided in formula box on page 1. Round to 3 decimals
e. What is the correlation coefficient, r, rounded to two decimal places?
Is the linear association between the variables "weak" or “strong"? How do you know?
Transcribed Image Text:1. The following table shows data for the cost of natural gas in Maryland (in dollars per Million Btu) forx years since 1990, values in x column. 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. a. Write the prediction equation in the form: j = a+ bx Year Price in $ per Million Btu, y 1990 6.28 1991 6.01 1992 2 6.26 1993 3 6.89 1994 4 6.75 1995 5 6.45 1996 6 7.39 1997 7 8.09 1998 8 8.00 1999 9 8.14 10 9.47 11 11.24 12 9.27 2000 2001 2002 In a brief sentenee, interpret the slope in the context of the problem. с. 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 $11.31 per million Btu. Use formula provided in formula box on page 1. Round to 3 decimals e. What is the correlation coefficient, r, rounded to two decimal places? Is the linear association between the variables "weak" or “strong"? How do you know?
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