Technological advances helped make inflatable paddlecraft suitable for backcountry use. These blow-up rubber boats, which can be rolled into a bundle not much bigger than a golf bag, are large enough to accommodate one or two paddlers and their camping gear. Canoe \& Kayak magazine tested boats from nine manufacturers to determine how they would perform on a three-day wilderness paddling trip. One of the criteria in their evaluation was the baggage capacity of the boat, evaluated using a 4-point rating scale from 1 (lowest rating) to 4 (highest rating). The following data show the baggage capacity rating and the price of the boat (Canoe \& Kayak, March 2003). a. Develop a scatter diagram for these data with baggage capacity rating as the independent variable. b. What does the scatter diagram developed in part (a) indicate about the relationship between baggage capacity and price? c. Draw a straight line through the data to approximate a linear relationship between baggage capacity and price. d. Use the least squares method to develop the estimated regression equation. e. Provide an interpretation for the slope of the estimated regression equation. f. Predict the price for a boat with a baggage capacity rating of 3