# Homework Solution: 1989: The Midge Classification Problem Two species of midges, Af and Apf, have been identified by biologists Grogan and…

1989: The Midge Classification Problem Two species of midges, Af and Apf, have been identified by biologists Grogan and Wirth [1981] on the basis of antenna and wing length. (See Figure 1.) Each of nine Af midges is denoted by ", and each of six Apf midges is denoted by "o". It is important to be able to classify a specimen as Af or Apf, given the antenna and wing length. 1. Given a midge that you know is species Af or Apf, how would you go about classifying it? Apply your method to three specimens with (antenna, wing) lengths 3. Assume that species Af is a valuable pollinator and species Apf is a carrier of a debilitating disease. Would you modify your classification scheme and if so, how? O APF ANTENNAE, APF MNGS AF ANTENNAE, AF WINGS 2.05 1.8 1.6 1.1 1.15 1.2 1.25 1.3 1.35 1.41.45 15 1.55 1.6 ANTENNAE (mm) Figure 1. Display of data collected by Grogan and Wirth [1981].

The 1989 Math Contest in Modeling posed The Midge Designation Drift (attached). Abandoned that this is an unnatural understanding direction, how would you unravel an unnatural understanding with which you could retort questions 1. and 2.? Don’t explain this with statistical techniques. Your unnatural understanding must reveal attributes of unnatural understanding in Chapter 1 of our passage.
1. Abandoned a midge that you perceive is letter Af or Apf, how would you go encircling classing it?

2. Apply your arrangement to three exemplars with (antenna, wing) protractions(1.24, 1.80), (1.28, 1.84), (1.40, 2.04).
Your unnatural understanding must be limited as a unintermittent act control solving this specific drift with termineffectual amounts of instrument (algorithm). Each march must be executeffectual by a cosmical using pencil and brochure. You must, coercion-this-reason, heave extinguished your unnatural understanding algorithm control midge designation. Use the grounds in the graph to series your unnatural understanding. Then practice your unnatural understanding using the three exemplars in 2. over.

3. Assume that letter Af is a precious pollinator and letter Apf is a carriage of a wasting disorder. Would you change your designation machination and if so, how?
You must agency in the forthcoming items:
A) A designation of your unnatural understanding and what attributes in Chapter 1 it reveals.
B) An unnatural understanding algorithm
C) Record of seriesing your unnatural understanding with the grounds in the graph
D) Record of the determination(s) your unnatural understanding made with the grounds in 2.

1989: The Midge Designation Drift Two letter of midges, Af and Apf, enjoy been signed by biologists Grogan and Wirth [1981] on the cause of antenna and wing protraction. (See Figure 1.) Each of nine Af midges is denoted by “, and each of six Apf midges is denoted by “o”. It is great to be effectual to class a exemplar as Af or Apf, abandoned the antenna and wing protraction. 1. Abandoned a midge that you perceive is letter Af or Apf, how would you go encircling classing it? Apply your arrangement to three exemplars with (antenna, wing) protractions 3. Assume that letter Af is a precious pollinator and letter Apf is a carriage of a wasting disorder. Would you change your designation machination and if so, how? O APF ANTENNAE, APF MNGS AF ANTENNAE, AF WINGS 2.05 1.8 1.6 1.1 1.15 1.2 1.25 1.3 1.35 1.41.45 15 1.55 1.6 ANTENNAE (mm) Figure 1. Display of grounds composed by Grogan and Wirth [1981].