7 7.An individual claims that the fucl consumption of his automobile (y milcs per gallon)docs not depend on how fast the car is driven (r milcs per hour). To test the plausibility of this hypothesis,the car was tested n = 7 times at various speeds between 45 and 70 miles per hour. If a simple lincarregression is posited: y = Bo + B1x + ɛ.PredictorCoefStandard Error CoefConstant32.541.27-0.170.02(i) What is the fitted regression line?(ii) It's computed from the sample data that =60, then what is y?(iii) Do these data refute the claim that the milcage per gallon of gas is unaffected by the speed atwhich the car is being driven? Answer the question by describing how to calculate the p-value of asuitable statistical hypothesis testing.(iv) Can you conclude that higher speed is associated with less fuel consumption? Answer this questionvia statistical hypothesis testing and describe how to obtain the p-valuc.(v) Aside from the lincar regression function assumption, what are the key assumptions in answeringpart (iii) and (iv)?

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7. An individual claims that the fuel consumption of his automobile (y miles per gallon) docs not depend on how fast the car is driven (x miles per hour). To test the plausibility of this hypothesis, the car was tested n = 7 times at various speeds between 45 and 70 milcs per hour. If a simple lincar regression is posited: y = Bo + B1x+e. Predictor Coef Standard Error Coef Constant 32.54 1.27 -0.17 0.02 (i) What is the fitted regression linc? (ii) It's computed from the sample data that = 60, then what is y? (iii) Do these data refute the claim that the mileage per gallon of gas is unaffected by the speed at which the car is being driven? Answer the qucstion by describing how to calculate the p-valuc of a suitable statistical hypothesis testing. (iv) Can you conclude that higher speed is associated with less fucl consumption? Answer this question via statistical hypothesis testing and describe how to obtain the p-value. (v) Aside from the lincar regression function assumption, what are the key assumptions in answering part (iii) and (iv)?