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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

 

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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