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. Consider the following data showing the weight and price for 18 SA helmets.
Weight (oz) | Price ($) |
64 | 248 |
64 | 278 |
64 | 200 |
64 | 200 |
58 | 300 |
47 | 700 |
49 | 900 |
59 | 340 |
66 | 199 |
58 | 299 |
58 | 299 |
52 | 479 |
52 | 479 |
63 | 369 |
62 | 369 |
54 | 559 |
63 | 250 |
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.
- e. Did the estimated regression equation provide a good fit? Explain.
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Chapter 14 Solutions
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