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Practice Questions: Multiple Regression

Statistics 621 Robert Stine Practice Questions: Multiple RegressionAn auto manufacturer was interested in pricing strategies for a new vehicle it plans tointroduce in the coming year. The analysis that follows considers how othermanufacturers price their vehicles. The analysis begins with the correlation of price withcertain features of the vehicle, particularly those relating to its performance. Among thepredictors, the displacement measures the size of the engine in cubic inches, andHP/Pound is the ratio of the horsepower to the weight of the car. The data are acollection of 109 models available in a given market year, as studied in class. Some ofthese correlations appear in the following (lb) (lb) addition, the manufacturer also considered a Regression model for the price, which ismeasured in dollars (US).

Three diagnostic plots associated with this model appear on the next page. ... Thus, the nominal RMSE is a compromise. The model is more accurate (and perhaps enough to attain the $7500 goal noted before in question #4) for cheap cars, but rather inaccurate for more expensive cars.

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