# Develop a multiple linear regression model & compare

Develop a multiple linear regression model.

A sample of twenty automobiles was taken, and the miles per gallon (MPG), horsepower and total weight were recorded. Develop a linear regression model to predict MPG using horsepower as the only independent variable. Develop another model with weight as the independent variable. Which of these two models is better? Explain.

MPG Horsepower Weight

44 67 1844

44 50 1998

40 62 1752

37 66 1797

34 63 2199

35 90 2404

32 99 2611

30 63 3236

28 91 2606

26 94 2580

26 88 2507

25 124 2922

22 97 2434

20 114 3248

21 102 2812

18 114 3382

18 142 3197

16 153 4380

16 139 4036

(Note: The data provided contains 19 values only)

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#### Solution Preview

See Excel file attached. Each regression is a separate tab.

The multiple regression explains more of the variance than either simple regression using ...

#### Solution Summary

Your tutorial created three regressions, one simple regression using horsepower, one simple regression using weight and a multiple regression with both horsepower and weight to predict miles per gallon (MPG). The solution is in Excel and used the regression function in data analysis.