X 132.0 129.0 120.0 113.2 105.0 92.0 84.0 88.4 59.0 80.0 81.0 81.5 71.0 69.2 63.0 y 46.0 48.0 51.0 52.1 54.0 52.0 59.0 58.7 61.6 64.0 61.4 54.6 58.8 58.0 51.4 1. Construct a scatter plot for the data. Identify and state which is dependent and independent variable. What is the purpose of the scatter plot/diagram? 2. Fit a simple linear regression line/ equation to your data. Give brief interpret about the regression analysis of the regression equation based on the printout and determine the R_also explain the coefficient of determination.

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The cetane number is a critical property in specifying the ignition quality of a fuel used in a
diesel engine. Determination of this number for a biodiesel fuel is expensive and time-
consuming. The article "Relating the Cetane Number of Biodiesel Fuels to Their Fatty Acid
Composition: A Critical Study" (J. of Automobile Engr., 2009: 565–583) included the
following data on x = iodine value (g) and y = cetane number for a sample of 15 biofuels
The iodine value (x) is the amount of iodine necessary to saturate a sample of 100 g of oil.
The article's authors fit the simple linear regression model to this data, so let' s does the
same.
132.0 129.0 120.0 113.2 105.0 92.0 84.0 88.4 59.0 80.0 81.0 81.5 71.0 69.2 63.0
y
46.0
48.0
51.0 52.1
54.0 52.0 59.0 58.7 61.6 64.0 61.4 54.6 58.8 58.0
51.4
Construct a scatter plot for the data. Identify and state which is dependent and
independent variable. What is the purpose of the scatter plot/diagram?
2.
Fit a simple linear regression line/ equation to your data. Give brief interpret about the
regression analysis of the regression equation based on the printout and determine the R_also
explain the coefficient of determination.
Transcribed Image Text:The cetane number is a critical property in specifying the ignition quality of a fuel used in a diesel engine. Determination of this number for a biodiesel fuel is expensive and time- consuming. The article "Relating the Cetane Number of Biodiesel Fuels to Their Fatty Acid Composition: A Critical Study" (J. of Automobile Engr., 2009: 565–583) included the following data on x = iodine value (g) and y = cetane number for a sample of 15 biofuels The iodine value (x) is the amount of iodine necessary to saturate a sample of 100 g of oil. The article's authors fit the simple linear regression model to this data, so let' s does the same. 132.0 129.0 120.0 113.2 105.0 92.0 84.0 88.4 59.0 80.0 81.0 81.5 71.0 69.2 63.0 y 46.0 48.0 51.0 52.1 54.0 52.0 59.0 58.7 61.6 64.0 61.4 54.6 58.8 58.0 51.4 Construct a scatter plot for the data. Identify and state which is dependent and independent variable. What is the purpose of the scatter plot/diagram? 2. Fit a simple linear regression line/ equation to your data. Give brief interpret about the regression analysis of the regression equation based on the printout and determine the R_also explain the coefficient of determination.
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