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. Suppose the following data show 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 66 189 58 299 58 299 52 479 52 479 63 369 62 369 54 569 63 250 63 280

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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. Suppose the following data show 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
66 189
58 299
58 299
52 479
52 479
63 369
62 369
54 569
63 250
63

280

 

Develop the estimated regression equation that could be used to predict the price ($) given the weight (oz). (Round your value for the y-intercept to the nearest integer and your value for the slope to two decimal places.)
ŷ = 
 
Find the value of the test statistic. (Round your answer to two decimal places.)
 
Find the p-value. (Round your answer to three decimal places.)
p-value = 
 
Did the estimated regression equation provide a good fit? Explain. (Round your answer to three decimal places.)
Since 
r2 = 
 
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