c. Develop the estimated regression equation that could be used to predict the price given the weight (to 2 decimals). Enter negative values as negative numbers. Price = Weight d. Test for the significance of the relationship at the 0.05 level of significance. X + p-value corresponding to F test is lower than 0.01 p-value corresponding to t test on B₁ (coefficient of Weight) is lower than 0.01 There is evidence of a significant relationship. e. Did the estimated regression equation provide a good fit? Explain. Hint: If r² is greater than 0.70, the estimated regression equation provides a good fit. 7² is (to 3 decimals), the estimated regression equation provided a good fit.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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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).
Weight (oz)
64
64
64
64
58
47
49
59
66
58
58
52
52
63
62
54
63
63
A.
Impact Racing Super Sport
Zamp FSA-1
Zamp RZ-2
Zamp RZ-2 Ferrari
Zamp RZ-3 Sport
Zamp RZ-3 Sport Painted
Bell M2
Bell M4
Bell M4 Pro
G Force Pro Force 1
G Force Pro Force 1 Grafx
a. Choose the correct scatter diagram with weight as the independent variable.
Price ($)
1200
1100
Helmet
Pyrotect Pro Airflow
Pyrotect Pro Airflow Graphics
RCI Full Face
RaceQuip Ridgeline
1000
900
800
700
HJC AR-10
HJC SI-12
HJC HX-10
Price ($)
246
287
192
204
295
705
903
348
204
301
303
469
484
376
366
553
248
285
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 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). Weight (oz) 64 64 64 64 58 47 49 59 66 58 58 52 52 63 62 54 63 63 A. Impact Racing Super Sport Zamp FSA-1 Zamp RZ-2 Zamp RZ-2 Ferrari Zamp RZ-3 Sport Zamp RZ-3 Sport Painted Bell M2 Bell M4 Bell M4 Pro G Force Pro Force 1 G Force Pro Force 1 Grafx a. Choose the correct scatter diagram with weight as the independent variable. Price ($) 1200 1100 Helmet Pyrotect Pro Airflow Pyrotect Pro Airflow Graphics RCI Full Face RaceQuip Ridgeline 1000 900 800 700 HJC AR-10 HJC SI-12 HJC HX-10 Price ($) 246 287 192 204 295 705 903 348 204 301 303 469 484 376 366 553 248 285
1100
1000
900
800
700
600
500
400
300
200
100
45
50
X
55
The correct scatter diagram is A
b. Does there appear to be any relationship between these two variables?
+
Weight (oz)
60
There appears to be a negative
expensive.
c. Develop the estimated regression equation that could be used to predict the price given the weight (to 2 decimals). Enter negative values as negative
numbers.
p-value corresponding to F test is
p-value corresponding to t test on
Price =
Weight
d. Test for the significance of the relationship at the 0.05 level of significance.
65
linear relationship between the two variables. The heavier helmets tend to be less
lower than 0.01
₁ (coefficient of Weight) is lower than 0.01
There is
evidence of a significant relationship.
e. Did the estimated regression equation provide a good fit? Explain. Hint: If r² is greater than 0.70, the estimated regression equation provides a good fit.
7² is
(to 3 decimals), the estimated regression equation provided
a good fit.
Transcribed Image Text:1100 1000 900 800 700 600 500 400 300 200 100 45 50 X 55 The correct scatter diagram is A b. Does there appear to be any relationship between these two variables? + Weight (oz) 60 There appears to be a negative expensive. c. Develop the estimated regression equation that could be used to predict the price given the weight (to 2 decimals). Enter negative values as negative numbers. p-value corresponding to F test is p-value corresponding to t test on Price = Weight d. Test for the significance of the relationship at the 0.05 level of significance. 65 linear relationship between the two variables. The heavier helmets tend to be less lower than 0.01 ₁ (coefficient of Weight) is lower than 0.01 There is evidence of a significant relationship. e. Did the estimated regression equation provide a good fit? Explain. Hint: If r² is greater than 0.70, the estimated regression equation provides a good fit. 7² is (to 3 decimals), the estimated regression equation provided a good fit.
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