In an experiment, the independent variable is the percentage of hydrocarbons and the dependent variable is...
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In an experiment, the independent variable is the percentage of hydrocarbons and the dependent variable is the purity of oxygen produced in a chemical distillation process that are present in the main condenser of the distillation unit. The simple linear regression and correlation analysis is perfomed in a sample of 9 observations. Results are as shown below: SS = 1103.5560 SSyy = 0.1956 a = 1.5295 b = 0.0117 (a) Develop the equation of the simple linear regression line for this data. Then, give a brief interpretation of the values of the lincar correlation cocfficient, the intercept and the slope. [9 marks) (b) Test the hypothesis that the slope is at most 0 at the 5% significance level by showing your solution. [12 marks) (c) Construct a 90% confidence interval for B. Interpret your answer. (4 marks) In an experiment, the independent variable is the percentage of hydrocarbons and the dependent variable is the purity of oxygen produced in a chemical distillation process that are present in the main condenser of the distillation unit. The simple linear regression and correlation analysis is perfomed in a sample of 9 observations. Results are as shown below: SS = 1103.5560 SSyy = 0.1956 a = 1.5295 b = 0.0117 (a) Develop the equation of the simple linear regression line for this data. Then, give a brief interpretation of the values of the lincar correlation cocfficient, the intercept and the slope. [9 marks) (b) Test the hypothesis that the slope is at most 0 at the 5% significance level by showing your solution. [12 marks) (c) Construct a 90% confidence interval for B. Interpret your answer. (4 marks)
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Fundamentals of Thermal-Fluid Sciences
ISBN: 978-0078027680
5th edition
Authors: Yunus A. Cengel, Robert H. Turner, John M. Cimbala
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