The weight of a car (in pounds) can influence the mileage (in mpg) that the car can obtain. A random sample of 19 cars w

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The weight of a car (in pounds) can influence the mileage (inmpg) that the car can obtain. A random sample of 19 cars was takenand the weight and mileage were recorded for each. The data are inthe table below.
a) State the random variables.
rv X = Select an answer allcars the weight the mean weight the meanmileage a randomly selected car themileage of Select an answer the meanweight all cars a randomly selected car the meanmileage the mileage the weight
rv Y = Select an answer themileage all cars the mean weight the meanmileage a randomly selected car theweight of Select an answer the weight themileage the mean mileage the mean weight a randomlyselected car all cars b) Make a scatterplot of X versus Y in StatCrunch (optional). Whydo we wish to sketch a scatterplot?
Select an answer There is no reason to sketch ascatterplot. To verify that a linear model is appropriate andto look for outliers.
c) Find the equation of the best-fitting line (the leastsquares regression equation).
Round values to 3 decimal places.
Include the restricted domain.
equation: ? X s p̂ σ n Ŷ p X̄ μ Y N = + *X
restricted domain: pounds<= X <= pounds
d) Interpret the slope from part c in the context of this problem.(Pay attention to the units)
e) Interpret the Y-intercept from part c in the context of thisproblem. Include units.
Does it make sense to interpret the Y-intercepton this problem?
Why or why not? Select ananswer yes, since X = 0 is between Xmin and Xmax yes,since X = 0 is not between Xmin and Xmax yes, since Y = 0 isbetween Ymin and Ymax yes, since Y = 0 is not between Ymin andYmax no, since X = 0 is between Xmin and Xmax no, since X= 0 is not between Xmin and Xmax no, since Y = 0 is betweenYmin and Ymax no, since Y = 0 is not between Ymin andYmax f) Should you use the regression equation to predict the mileage ofa randomly selected car that has a weight of 2845 pounds?
Select an answer yes, you can use theregression equation for any value of X yes, this X-value isbetween Xmin and Xmax no, this X-value is not between Xmin andXmax Should you use the regression equation to predict themileage of a randomly selected car that has a weight of 7425pounds?
Select an answer yes, this X-value isbetween Xmin and Xmax yes, you can use the regression equationfor any value of X no, this X-value is not between Xmin andXmax Looking at your answers above, predict themileage for the one above that it made sense to do so.
Make sure you use the storedequation and not the rounded equation from partc.
Round final answer to 3 decimalplaces.
g) Compute the residual for the following ordered pair in thedata: (2750, 46.9).
Make sure you use the storedequation and not the rounded equation from part c.
Round final answer to 3 decimalplaces.
The residual for the car with a weight of2750 pounds is Interpret what this value means in the contextof this problem.