Question: Construct a 95% confidence interval for θ1 for the data in Exercise, as well as a 95% prediction interval for Y when X - 5.
Exercise: Consider the following data, with X representing time and Y denoting oxygen demand.
Based on physical considerations, a scientist believes that the model Y = θ1[1 - exp(-θ2X)) + ? should adequately fit the data. Use 13 and 0.28 as starting values for θ1 and θ2, respectively, and use some software program to obtain the parameter estimates. Then compute Finally, plot the standardized residuals against the predicted values. Does the model appear to adequately fit the data?