25. Evil Dr. Evil hired you to bake chocolate cakes for her. You are to make cakes of 1 kg on average, with standard deviation of 0.2 kg. Oh no! She launched an investigation against you. She got a sample of your cakes, and they are 950 g. Before you get in trouble, tell her what should be her null hypothesis? 26. Evil Dr. Evil ran a regression predicting chocolate preferences based on gender and age. After running her regression model, she got Y= 400-6*X1- where Y is the chocolate preference score, and X1 is age in years, Explain to a small child what that regression equation means. 27. What will be the chocolate preference score based on the model in the previous question for the 12 year old Timmy? 28. For the same model, the standard error for b1 is 1.25. With degrees of freedom of 100, can she reject the null hypothesis? 29. Evil Dr. Evil discovered that her evilness started out at 536 and then for every chocolate bar she ate, her evilness grew by 10. Put it down in form of a regression model: 30. Evil Dr. Evil ran two different regression models. One has an R2 of less than 0.05 the other an R of .7. Which one fits the data better