QUESTION 3 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 performed in a sample of 9 observations. Results are as shown below: SSix = 113.7356 SSyy = 0.5156 a = -4.2869 b = 0.0648 (a) Develop the equation of the simple linear regression line for this data. Then, give a brief interpretation of the values of the linear correlation coefficient, the intercept and the slope. [9 marks] (b) Test the hypothesis that the slope would be positive at the 10% significance level by showing your solution. [12 marks] (c) Construct an 80% confidence interval for B. Interpret your