Fox Module 13: Dummy variable regression HW


Fox Module 13: Dummy variable regression HW

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NEAS
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Fox Module 13: Dummy variable regression HW

 

(The attached PDF file has better formatting.)

 

Homework assignment: auto insurance rating territories

 

An insurer examines claim frequencies for 15 territories: 5 urban, 5 suburban, and 5 rural.

 

Urban

Sub-urban

Rural

Territory

Claim Frequency

Territory

Claim Frequency

Territory

Claim Frequency

1

14.30%

6

10.88%

11

9.59%

2

11.00%

7

16.58%

12

8.54%

3

20.90%

8

12.72%

13

10.32%

4

16.85%

9

9.40%

14

10.01%

5

12.85%

10

12.92%

15

9.24%

 


A.     How many dummy variables does this regression use?

B.     What are the values of the dummy variables for urban, sub-urban, and rural? Assume rural is the base territory, with dummy variables equal to zero.

C.    Use Excel or other statistical software to run the regression. What are the values of á, â1, and â2? (Fox uses ã1 and ã2 instead of â1 and â2 for dummy variables.) Explain what each of the coefficients means.

 

Jacob: Fox uses both ã1 and ã2 as well as â1 and â2.

 

Rachel: We do this is the territory number has a quantitative value. But the territory numbers here are just indicators; they have no quantitative meaning. The regression equation is

 

Frequency = á + â1 × D1 + â2 × D2

 

In Fox’s notation, this is            Frequency = á + ã1 × D1 + ã2 × D2

 

 


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Fox Module 13 dum variables HW.pdf (2K views, 36.00 KB)
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wangxy
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Can any one please tell me how to use excel to run regression.

[NEAS: Excel help says: “Use the Analysis ToolPak to perform complex data analysis: If you need to develop complex statistical or engineering analyses, you can save steps and time by using the Analysis ToolPak. You provide the data and parameters for each analysis, and the tool uses the appropriate statistical or engineering macro functions to calculate and display the results in an output table. Some tools generate charts in addition to output tables. To use the Analysis ToolPak, click Data Analysis in the Analysis group on the Data tab. If the Data Analysis command is not available, you need to load the Analysis ToolPak add-in program.” The Analysis TookPak is explained (somewhat) in the on-line help facility. The exhibits and graphics produced are the same as those in the Fox textbook.]


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