Observations on the yield of a chemical reaction taken at various temperatures were recorded in Table 2.11: (a). Fit a simple linear regression and estimate β0 and β1 using the least squares method.

(b). Compute 95% confidence intervals on E(ylz) at 4 levels of temper- atures in the data. Plot the upper and lower confidence intervals around the regression line.

temperature (C0 ) yield of chemical reaction (%) 150 77.4 150 77.4 150 77.4 150 77.4 150 77.4 150 77.4 150 77.4 150 77.4 150 77.4 150 77.4 150 77.4 150 77.4 Data Source: Raymond H. Myers, Classical and Modern Regression Analysis With Applications, P77. (c). Plot a 95% confidence band on the regression line. Plot on the same graph for part

(b) and comment on it.