Tukey four-quadrant approach


Question: Dun & Bradstreet reports, among other things, information about new business incorporations and number of business failures over several years.  Shown here are data on business failures and current liabilities of the failing companies over several years. Use these data and the following model to predict current liabilities of the failing companies by the number of business failures. Discuss the strength of the model.

y = βo β1x ε

Now develop a different regression model by recoding x. Use Tukey's four-quadrant approach as a resource.

Rate of Business Failures (10,000)

Current Liabilities of Failing Companies ($ millions)

44

1,888

43

4,380

42

4,635

61

6,955

88

15,611

110

16,073

107

29,269

115

36,937

120

44,724

102

34,724

98

39,126

65

44,261

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Basic Statistics: Tukey four-quadrant approach
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