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 (SoloRacer website). Helmet Weight (oz) Price ($) Pyrotect Pro Airflow 64 239 Pyrotect Pro Airflow Graphics 64 277 RCi Full Face 64 201 RaceQuip RidgeLine 64 203 HJC AR-10 58 291 HJC Si-12 47 699 HJC HX-10 49 890 Impact Racing Super Sport 59 346 Zamp FSA-1 66 202 Zamp RZ-2 58 289 Zamp RZ-2 Ferrari 58 292 Zamp RZ-3 Sport 52 482 Zamp RZ-3 Sport Painted 52 483 Bell M2 63 368 Bell M4 62 363 Bell M4 Pro 54 564 G Force Pro Force 1 63 244 G Force Pro Force 1 Grafx 63 286 -select your answer choices- a. (A, B, C, D) b. Does there appear to be any relationship between these two variables? There appears to be a (negative, positive) linear relationship between the two variables. The heavier helmets tend to be (more, less) expensive d. Test for the significance of the relationship at the 0.05 level of significance. p-value corresponding to F-test is lower than 0.01 between 0.01 and 0.025 between 0.025 and 0.05 between 0.05 and 0.10 greater than 0.10 p-value corresponding to t-test on B1 (coefficient of Weight) is lower than 0.01 between 0.01 and 0.025 between 0.025 and 0.05 between 0.05 and 0.10 greater than 0.10 There (is, is no) evidence of a significant relationship. e. Did the estimated regression equation provide a good fit? Explain. Hint: If r^2 is greater than 0.70, the estimated regression equation provides a good fit. r^2 is (to 3 decimals), the estimated regression equation (provided, did not provide) a good fit.
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 (SoloRacer website).
Helmet | Weight (oz) | Price ($) |
Pyrotect Pro Airflow | 64 | 239 |
Pyrotect Pro Airflow Graphics | 64 | 277 |
RCi Full Face | 64 | 201 |
RaceQuip RidgeLine | 64 | 203 |
HJC AR-10 | 58 | 291 |
HJC Si-12 | 47 | 699 |
HJC HX-10 | 49 | 890 |
Impact Racing Super Sport | 59 | 346 |
Zamp FSA-1 | 66 | 202 |
Zamp RZ-2 | 58 | 289 |
Zamp RZ-2 Ferrari | 58 | 292 |
Zamp RZ-3 Sport | 52 | 482 |
Zamp RZ-3 Sport Painted | 52 | 483 |
Bell M2 | 63 | 368 |
Bell M4 | 62 | 363 |
Bell M4 Pro | 54 | 564 |
G Force Pro Force 1 | 63 | 244 |
G Force Pro Force 1 Grafx | 63 | 286 |
-select your answer choices-
a. (A, B, C, D)
b. Does there appear to be any relationship between these two variables?
There appears to be a (negative, positive) linear relationship between the two variables. The heavier helmets tend to be (more, less) expensive
d. Test for the significance of the relationship at the 0.05 level of significance.
p-value corresponding to F-test is
lower than 0.01
between 0.01 and 0.025
between 0.025 and 0.05
between 0.05 and 0.10
greater than 0.10
p-value corresponding to t-test on B1 (coefficient of Weight) is
lower than 0.01
between 0.01 and 0.025
between 0.025 and 0.05
between 0.05 and 0.10
greater than 0.10
There (is, is no) evidence of a significant relationship.
e. Did the estimated regression equation provide a good fit? Explain. Hint: If r^2 is greater than 0.70, the estimated regression equation provides a good fit.
r^2 is (to 3 decimals), the estimated regression equation (provided, did not provide) a good fit.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images