Simple Linear Regression 1 answer below »
Automobile racing, high-performance driving schools, and driver education programs run by automobile clubs continue to grow in popularity. All these activities require the participant 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.
Helmet Weight(oz) Price ($)
Pyrotect Pro Airflow 64 248
Protect Pro airflow Graphics 64 278
Rci Full Face 64 200
RaceQuip RidgeLine 64 200
HJC AR-10 58 300
HJC Si-12 47 700
HJC HX-10 49 900
Impact Racing Super Sport 59 340
Zamp FSA-1 66 199
Zamp RZ-2 58 299
Zamp RZ-2 Ferrari 58 299
Zamp RZ-3 Sport 52 479
Zamp RZ-3 Sport Painted 52 479
Bell M2 63 369
Bell M4 62 369
Bell M4 Pro 54 559
G Force Pro Force 1 63 250
G Force Pro Force 1 Grafx 63 280
A) Develop a scatter diagram with weight as the dependent 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.
E) Did the estimated regression equation provide a good fit? Explain.