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 k 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 ($) 64 248 54 278 54 200 64 200 58 300 47 700 49 200 59 340 56 199 58 299 58 299 52 479 52 479 63 359 62 369 54 549 63 250 63 280(a) Develop a scatter diagram with weight as the independent variable. 1000 T 1000 T 10007 1000 T 800 - 800 - 800 800 . . 600+ 600 600 600 Price ($) Price ($) . . Price ($) Price ( 400 400+ 400 400 . . 200- 200- 200- 200+ 50 55 60 65 70 50 55 60 65 70 50 55 60 65 70 50 55 60 65 70 O Weight (oZ) Weight (oZ) Weight (oZ) Weight (oZ) (b) Does there appear to be any relationship between these two variables? O There appears to be a positive linear relationship between weight (oz) and price ($). There appears to be no noticeable relationship between weight (oz) and price ($). There appears to be a negative linear relationship between weight (oz) and price ($). (c) Develop the estimated regression equation that could be used to predict the price ($) 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.){d} Test for the signicance of the relationship at the 0.05 level of signicance. {Use the F test.) State the null and alternative hypotheses. Q H0: u : 0 Ha: o at D O H0: 31 at 0 Ha: ,IS'1 = I] Q H0: 30 at 0 Ha: 0 = I] OHU:,GIED Ha:1<:0 ohu:hi="Ha:1;t0" find the value of test statistic. your answer to two decimal places. p-value. three state conclusion . q do not reject ho we conclude that relationship between weight and price is significant. cannot h signicant. did estimated regression equation provide a good t explain. since e>