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Linear Regression Analysis 5E Montgomery, Peck & Vining 1 Example 3-1. The Delivery Time Data The model of interest is y = 0 + 1 x 1 + 2 x 2 +

Linear Regression Analysis 5E Montgomery, Peck & Vining 1 Example 3-1. The Delivery Time Data The model of interest is y = 0 + 1 x 1 + 2 x 2 +

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Page 1: Linear Regression Analysis 5E Montgomery, Peck & Vining 1 Example 3-1. The Delivery Time Data The model of interest is y =  0 +  1 x 1 +  2 x 2 +

Linear Regression Analysis 5E Montgomery, Peck & Vining

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Example 3-1. The Delivery Time Data

The model of interest is

y = 0 + 1x1+ 2x2 +

Page 2: Linear Regression Analysis 5E Montgomery, Peck & Vining 1 Example 3-1. The Delivery Time Data The model of interest is y =  0 +  1 x 1 +  2 x 2 +

Linear Regression Analysis 5E Montgomery, Peck & Vining

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Example 3-1. The Delivery Time Data

Figure 3.4 Scatterplot matrix for the delivery time data from Example 3.1.

Page 3: Linear Regression Analysis 5E Montgomery, Peck & Vining 1 Example 3-1. The Delivery Time Data The model of interest is y =  0 +  1 x 1 +  2 x 2 +

Linear Regression Analysis 5E Montgomery, Peck & Vining

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Example 3-1 The Delivery Time Data

Figure 3.5 Three-dimensional scatterplot of the delivery time data from Example 3.1.

Page 4: Linear Regression Analysis 5E Montgomery, Peck & Vining 1 Example 3-1. The Delivery Time Data The model of interest is y =  0 +  1 x 1 +  2 x 2 +

Linear Regression Analysis 5E Montgomery, Peck & Vining

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Example 3-1 The Delivery Time Data

Page 5: Linear Regression Analysis 5E Montgomery, Peck & Vining 1 Example 3-1. The Delivery Time Data The model of interest is y =  0 +  1 x 1 +  2 x 2 +

Linear Regression Analysis 5E Montgomery, Peck & Vining

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Example 3-1 The Delivery Time Data

Page 6: Linear Regression Analysis 5E Montgomery, Peck & Vining 1 Example 3-1. The Delivery Time Data The model of interest is y =  0 +  1 x 1 +  2 x 2 +

Linear Regression Analysis 5E Montgomery, Peck & Vining

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Example 3-1 The Delivery Time Data

Page 7: Linear Regression Analysis 5E Montgomery, Peck & Vining 1 Example 3-1. The Delivery Time Data The model of interest is y =  0 +  1 x 1 +  2 x 2 +

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Page 8: Linear Regression Analysis 5E Montgomery, Peck & Vining 1 Example 3-1. The Delivery Time Data The model of interest is y =  0 +  1 x 1 +  2 x 2 +

Linear Regression Analysis 5E Montgomery, Peck & Vining

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MINITAB Output

Page 9: Linear Regression Analysis 5E Montgomery, Peck & Vining 1 Example 3-1. The Delivery Time Data The model of interest is y =  0 +  1 x 1 +  2 x 2 +

Linear Regression Analysis 5E Montgomery, Peck & Vining

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Example 3.2 Delivery Time Data

Page 10: Linear Regression Analysis 5E Montgomery, Peck & Vining 1 Example 3-1. The Delivery Time Data The model of interest is y =  0 +  1 x 1 +  2 x 2 +

Linear Regression Analysis 5E Montgomery, Peck & Vining

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Example 3.2 Delivery Time Data

Page 11: Linear Regression Analysis 5E Montgomery, Peck & Vining 1 Example 3-1. The Delivery Time Data The model of interest is y =  0 +  1 x 1 +  2 x 2 +

Linear Regression Analysis 5E Montgomery, Peck & Vining

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3.2.5 Inadequacy of Scatter Diagrams in Multiple Regression

• Scatter diagrams of the regressor variable(s) against the response may be of little value in multiple regression.– These plots can actually be misleading– If there is an interdependency between two or

more regressor variables, the true relationship between xi and y may be masked.

Page 12: Linear Regression Analysis 5E Montgomery, Peck & Vining 1 Example 3-1. The Delivery Time Data The model of interest is y =  0 +  1 x 1 +  2 x 2 +

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Illustration of the Inadequacy of Scatter Diagrams in Multiple Regression