Bicycling World, a magazine devoted to cycling, reviews hundreds of bicycles throughout the year. Its “Road-Race” category contains reviews of bicycles used by riders primarily interested in racing. One of the most important factors in selecting a bicycle for racing is the weight of the bicycle. The following data show the weight (pounds) and price ($) for ten racing bicycles reviewed by the magazine. Model Weight (lb) Price ($) Fierro 7B 17.9 2,200 HX 5000 16.2 6,350 Durbin Ultralight 15 8,470 Schmidt 16 6,300 WSilton Advanced 17.3 4,100 Bicyclette vélo 13.2 8,700 Supremo Team 16.3 6,100 XTC Racer 17.2 2,680 D’Onofrio Pro 17.7 3,500 Americana #6 14.2 8,100 A. Develop a scatter chart with weight as the independent variable. What does the scatter chart indicate about the relationship between the weight and price of these bicycles? B. Use the data to develop an estimated regression equation that could be used to estimate the price for a bicycle, given its weight. What is the estimated regression model? C. Test whether each of the regression parameters and is equal to zero at a 0.05 level of significance. What are the correct interpretations of the estimated regression parameters? Are these interpretations reasonable? D. How much of the variation in the prices of the bicycles in the sample does the regression model you estimated in part b explain? E. The manufacturers of the D’Onofrio Pro plan to introduce the 15-pound D’Onofrio Elite bicycle later this year. Use the regression model you estimated in part a to predict the price of the D’Ononfrio Elite.
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