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
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 SA helmets (SoloRacer website).
| Helmet | Weight (oz) | Price ($) | ||
| Pyrotect Pro Airflow | 64 | 241 | ||
| Pyrotect Pro Airflow Graphics | 64 | 287 | ||
| RCi Full Face | 64 | 200 | ||
| RaceQuip RidgeLine | 64 | 196 | ||
| HJC AR-10 | 58 | 294 | ||
| HJC Si-12 | 47 | 701 | ||
| HJC HX-10 | 49 | 908 | ||
| Impact Racing Super Sport | 59 | 333 | ||
| Zamp FSA-1 | 66 | 190 | ||
| Zamp RZ-2 | 58 | 293 | ||
| Zamp RZ-2 Ferrari | 58 | 290 | ||
| Zamp RZ-3 Sport | 52 | 486 | ||
| Zamp RZ-3 Sport Painted | 52 | 483 | ||
| Bell M2 | 63 | 361 | ||
| Bell M4 | 62 | 377 | ||
| Bell M4 Pro | 54 | 554 | ||
| G Force Pro Force 1 | 63 | 254 | ||
| G Force Pro Force 1 Grafx | 63 | 286 |
a. Choose the correct
b. Does there appear to be any relationship between these two variables?
There appears to be a linear relationship between the two variables. The heavier helmets tend to be expensive.
c. Develop the estimated regression equation that could be used to predict the price given the weight (to decimals). Enter negative values as negative numbers.
d. Test for the significance of the relationship at the level of significance.
-value corresponding to test is .
-value corresponding to test on (coefficient of ) is .
There evidence of a significant relationship.
e. Did the estimated regression equation provide a good fit? Explain. Hint: If is greater than , the estimated regression equation provides a good fit.
is (to decimals), the estimated regression equation a good fit.
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