Automobile racing, high-performance driving schools, and driver education programs run by automobile clubs continue to grow in popularity. All these activities require the partic- ipant to wear a helmet that is certified by the Snell Memorial Foundation, a not-for-profit organization dedicated to research, education, testing, and development of helmet safety standards. Snell "SA" (Sports Application) rated professional helmets are designed for auto racing and provide extreme impact resistance and high fire protection. One of the key factors in selecting a helmet is weight, since lower weight helmets tend to place less stress on the neck. The following data show the weight and price for 18 SA helmets (SoloRacer website, April 20, 2008). Helmet Weight (oz) Price (S) Pyrotect Pro Airflow Pyrotect Pro Airflow Graphics RCi Full Face 64 248 278 200 64 64 RaceQuip Ridgel.ine HJC AR-10 64 200 300 58 HJC Si-12 HJC HX-10 47 700 49 900 Impact Racing Super Sport Zamp FSA-I Zamp RZ-2 Zamp RZ-2 Ferari Zamp RZ-3 Sport Zamp RZ-3 Sport Painted Bell M2 59 340 66 199 58 299 58 299 52 52 479 479 63 369 369 559 250 Bell M4 62 54 Bell M4 Pro G Force Pro Force 1 G Force Pro Force 1 Grafx 63 63 280 a. Develop a scatter diagram with weight as the independent variable. b. Does there appear to be any relationship between these two variables? c. Develop the estimated regression equation that could be used to predict the price given the weight. d. Test for the significance of the relationship at the .05 level of significance. Did the estimated regression equation provide a good fit? Explain. e.

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