1. 6.1 (p. 221). Perform a thorough influence analysis of the solar thermal energy test data given in Table B.2. Discuss your results. Your thorough analysis should include using the Studentized Residuals vs. Predicted plot to check for outliers in the y space of the response, exploring leverage using the diagonal elements of the hat matrix, and exploring influence using the Cook's D diagnostic. 2. Suppose we obtain a sample of 32 patients and want to use their blood group (ignoring Rhesus antigens) to predict blood pressure. The blood groups are A, B, AB and O. a. Write out the model. Be sure to describe any indicator variables that are used in the model. b. Interpret the parameters from the model. You should be interpreting and C. The researchers want to include gender as well. Update your model with gender ignoring interaction. d. Interpret now. e. Write out the degrees of freedom for the ANOVA table. Source DF Blood Group Gender Error Total and type of transmission . What conclusions can you draw about the effect of the type of transmission on gasoline mileage? Interpret the parameters in this model. (Be sure to state the full regression model.) b. Modify the model developed in part a to include an interaction between engine displacement and type of transmission. What conclusions can you draw about the effect of the type of transmission on gasoline mileage? (Be sure to state the full regression model and comment on whether the interaction term is needed)