Question: An engineer collects the following data showing the speed and miles per gallon of a Toyota Camry. (a) Draw a scatter diagram of the data.

An engineer collects the following data showing the speed and miles per gallon of a Toyota Camry.

(a) Draw a scatter diagram of the data. What type of relation appears to exist between x and y?
(b) Find the quadratic regression equation yÌ… = b0 + b1x + b2x2.
(c) Draw a residual plot against the fitted values, x, and x2. Also, draw a boxplot of the residuals. Are there any problems with the model?
(d) Interpret the coefficient of determination.
(e) Does the F-test indicate that we should reject H0: b1 = b2 = 0? Is either coefficient not significantly different from zero?
(f) Construct and interpret 95% confidence and prediction intervals for miles per gallon at a speed of 48 miles per hour.

Miles per Gallon, y Speed, y Miles per Speed, x Gallon, x 30 18 55 30 35 20 60 29 40 23 65 26 25 40 65 25 45 25 70 25 50 28

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