5.4 3. A study of fuel economy for various automobiles plotted the fuel consumption vs. speed. A LSRL was fit to the data. Here is the residual plot from this least-squares fit. What does the pattern of the residuals tell you about the linear model? 5.5 problem 1 1. The number of motor vehicles registered (in millions) in the U.S. has grown as follows: a. Give a scatter-plot and residual plot of the data. b. Based on the graphs in part a, propose a model for the data. Show me evidence to support your conclusion. Go through all necessary steps to construct a model of the type you chose. 5.5 Problem 2 2. The public debt in the U.S. (in billions of dollars) has grown as follows: a. Give a scatter-plot and residual plot of the data. b. Based on the graphs in part a, propose a model for the data. Show me evidence to support your conclusion. Go through all necessary steps to construct a model of the type you chose. 5.6 2. The following table displays by gender the number of people who favor a particular flavor of ice cream. a. Construct the marginal distributions of this table in counts. b. Draw a bar chart to display the marginal distribution of the ice cream preference for all people (use percentages). c. What percent of women prefer strawberry? d. Compare the conditional distributions of chocolate lovers and vanilla lovers. Briefly describe the most important differences between the two groups, and back up your description with percentages