Statistical Sciences 1024A/B Chapter Notes - Chapter 5: Minitab, Diabetes Mellitus Type 2, Grade Inflation

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On average, highway mileage increases by 1. 016 mpg for each additional 1 mpg change in city mileage. (b) the intercept is 6. 554 mpg. This is the highway mileage for a nonexistent car that gets 0 mpg in the city. Although this interpretation is valid, such a prediction would be invalid, since it involves considerable extrapolation. (c) for a car that gets 16 mpg in the city, we predict highway mileage to be 6. 554 + (1. 016)(16) = 22. 81 mpg. For a car that gets 28 mpg in the city, we predict highway mileage to be 6. 554 + (1. 016)(28) = 35. 002 mpg. (d) the regression line passes through all the points of prediction. The plot was created by drawing a line through the two points (16, 22. 81) and (28, 35. 002), corresponding to the city mileages and predicted highway mileages for the two cars described in (c). 5. 2: the equation is weight = 80 5 slope is 5 grams/day.

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