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 ($) Pyrotect Pro Airflow Pyrotect Pro Airflow Graphics RCi Full Face 64 248 278 200 200 64 64 RaceQuip RidgelLine HJC AR-10 64 58 300 HJC Si-12 47 700 HJC HX-10 49 900 Impact Racing Super Sport Zamp FSA-I Zamp RZ-2 Zamp RZ-2 Fermari Zamp RZ-3 Sport Zamp RZ-3 Sport Painted 59 340 66 199 58 299 58 299 479 52 52 479 Bell M2 63 369 Bell M4 62 54 369 Bell M4 Pro G Force Pro Force I G Force Pro Force I Grafx 559 250 63 63 280 a Develop a scatter diagram with weight as the independent variable. b. Does there appear to be any relationship between these two variables? c. Develop the estimated regression equation that could be used to predict the price given the weight. d. Test for the significance of the relationship at the .05 level of significance. e. Did the estimated regression equation provide a good fit? Explain.
Automobile racing, high-performance driving schools, and driver education programs run by automobile clubs continue to grow in popularity. All these activities require the partic- ipant to wear a helmet that is certified by the Snell Memorial Foundation, a not-for-profit organization dedicated to research, education, testing, and development of helmet safety standards. Snell "SA" (Sports Application) rated professional helmets are designed for auto racing and provide extreme impact resistance and high fire protection. One of the key factors in selecting a helmet is weight, since lower weight helmets tend to place less stress on the neck. The following data show the weight and price for 18 SA helmets (SoloRacer website, April 20, 2008). Helmet Weight (oz) Price ($) Pyrotect Pro Airflow Pyrotect Pro Airflow Graphics RCi Full Face 64 248 278 200 200 64 64 RaceQuip RidgelLine HJC AR-10 64 58 300 HJC Si-12 47 700 HJC HX-10 49 900 Impact Racing Super Sport Zamp FSA-I Zamp RZ-2 Zamp RZ-2 Fermari Zamp RZ-3 Sport Zamp RZ-3 Sport Painted 59 340 66 199 58 299 58 299 479 52 52 479 Bell M2 63 369 Bell M4 62 54 369 Bell M4 Pro G Force Pro Force I G Force Pro Force I Grafx 559 250 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. e. Did the estimated regression equation provide a good fit? Explain.
Chapter6: Systems Of Equations And Inequalities
Section: Chapter Questions
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Hi please answer d & e. Please show full solution. Thank you!
Transcribed Image Text: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 SÅ helmets
(SoloRacer website, April 20, 2008).
Helmet
Weight (oz)
Price (S)
Pyrotect Pro Airflow
Pyrotect Pro Airflow Graphics
RCi Full Face
64
248
64
278
64
200
200
RaceQuip RidgeL.ine
HJC AR-10
64
58
300
HJC Si-12
47
700
HJC HX-10
49
900
340
Impact Racing Super Sport
Zamp FSA-1
Zamp RZ-2
Zamp RZ-2 Ferrari
Zamp RZ-3 Sport
Zamp RZ-3 Sport Painted
59
66
199
58
299
299
58
52
479
52
479
Bell M2
63
369
Bell M4
62
369
559
250
Bell M4 Pro
54
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.
e. Did the estimated regression equation provide a good fit? Explain.
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