8. How much do consumers in the United States pay for gas? These data show typic

Question

8. How much do consumers in the United States pay for gas? These data show typical prices in thousands of dollars) and highway gas mileages for a sample of car models commonly sold in the United States. The scatterplot of these data with a regression line is also displayed on the next page, followed by a residual plot Model Chevrolet Suburban LS Dodge Caravan EX Ford Explorer XLS Ford Focus SE Ford Taurus Honda Civic EX Hyundai Elantra GL Lexus GS300 Saturn L200 Toyota Corolla CE Volvo S60 Price (thousands $) 33.2 24.9 24.8 14.5 19.2 17.1 11.1 36.1 17.8 14.4 29.7 MPG 18 24 21 36 28 38 25 41 28

Explanation / Answer

(a) Interpret the slope of the regression line in the context of this problem
Ans:on average of every thousands increase in price there is a decrease of 0.689 MPG in fuel efficency

(b) Is fitting a regression line appropriate for the patteren displayed in the scatterplot?Explain by inspecting the original plot as well as the residual plot
Ans:Yes,the scatter plot is fairly linear and the residual plot doesnot show a clear pattern

(d) Which auto produces the largest positive residual?compute that residual
Ans:Toyota Corolla CE is the largest positive residual
mpg=-0.689(14.4)+44.8
       =34.8784
Residual=41-34.8784
                =6.1216

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