Question: Apply a base 2 logarithmic ( log2 function) normalization to a certain numeric attribute whose current range of values falls between 2300 and 10,000. (2

  1. Apply a base 2 logarithmic (log2 function) normalization to a certain numeric attribute whose current range of values falls between 2300 and 10,000.
  2. (2 Points) What will be the new range of values for the attribute once the normalization has been completed?

The new range (rounded to three places behind the decimal) is _______ to _______.

  1. (1 Point) What is the transformed value of 2500?

  1. (1 Point) What is the transformed value of 5000?

  1. (1 Point) What is the transformed value of 8000?

  1. (5 Points) Apply a base 10 logarithmic normalization (log10 function) to the values for attribute age in Table 2.2 below. Complete the following table.

 Apply a base 2 logarithmic (log2 function) normalization to a certain

originalValue for Age

newValue for Age

45

1.653

40

1.602

42

43

1.633

38

1.580

55

35

1.544

27

1.431

43

41

1.613

43

1.633

29

39

1.591

55

1.740

19

TABLE 2.2: The Credit Card Promotion Database ID Income Range ($) 40 - 50K 30 - 40K Life Magazine Watch Insurance Credit Card Promotion Promotion Promotion Insurance Yes No No No Age 1 45 Gender Male Female Male 2 Yes Yes Yes No 40 3 40 - 50K No No No No 42 4 30-40K Yes Yes Yes Yes Male 43 5 50 - 60K Yes No Yes No Female 38 6 20 - 30K No No No No Female 55 7 30 - 40K Yes No Yes Yes Male 35 8 20 - 30K No Yes No No Male 27 9 30 - 40K Yes No No No Male 43 10 30-40K Yes Yes Yes No Female 41 11 40 - 50K No Yes Yes No Female 43 12 20-30K No Yes Yes No Male 29 13 50 - 60K Yes Yes Yes No Female 39 14 40-50K No Yes No No Male 55 15 20-30K No No Yes Yes Female 19 TABLE 2.2: The Credit Card Promotion Database ID Income Range ($) 40 - 50K 30 - 40K Life Magazine Watch Insurance Credit Card Promotion Promotion Promotion Insurance Yes No No No Age 1 45 Gender Male Female Male 2 Yes Yes Yes No 40 3 40 - 50K No No No No 42 4 30-40K Yes Yes Yes Yes Male 43 5 50 - 60K Yes No Yes No Female 38 6 20 - 30K No No No No Female 55 7 30 - 40K Yes No Yes Yes Male 35 8 20 - 30K No Yes No No Male 27 9 30 - 40K Yes No No No Male 43 10 30-40K Yes Yes Yes No Female 41 11 40 - 50K No Yes Yes No Female 43 12 20-30K No Yes Yes No Male 29 13 50 - 60K Yes Yes Yes No Female 39 14 40-50K No Yes No No Male 55 15 20-30K No No Yes Yes Female 19

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