Algebra 2 / Pre-Calculus

NUMB3RS - Season 3 - "Killer Chat" - The Perfect House

Step 1 of 5

Deconstructing Choices

Multi-Attribute Compositional Models break down a complex decision into simpler, attribute-level preferences. Suppose the killer made choices among pairs of available houses, resulting in nine targets where bodies were discovered:

  • Pair 1: House A (Body found: 2 Bed, Ranch, 1.5 Bath) vs. House B (4 Bed, Colonial, 2 Bath)
  • Pair 2: House C (2 Bed, Duplex, 2 Bath) vs. House D (Body found: 3 Bed, Ranch, 1 Bath)
  • Pair 3: House E (3 Bed, Duplex, 1.5 Bath) vs. House F (Body found: 2 Bed, Colonial, 1 Bath)
  • Pair 4: House G (3 Bed, Colonial, 2 Bath) vs. House H (Body found: 4 Bed, Duplex, 1 Bath)
  • Pair 5: House J (Body found: 2 Bed, Ranch, 1.5 Bath) vs. House K (4 Bed, Colonial, 1 Bath)
  • Pair 6: House L (3 Bed, Colonial, 1.5 Bath) vs. House M (Body found: 4 Bed, Duplex, 1 Bath)
  • Pair 7: House N (3 Bed, Colonial, 1.5 Bath) vs. House P (Body found: 4 Bed, Ranch, 2 Bath)
  • Pair 8: House Q (Body found: 3 Bed, Ranch, 1.5 Bath) vs. House R (2 Bed, Colonial, 1 Bath)
  • Pair 9: House S (Body found: 2 Bed, Ranch, 2 Bath) vs. House T (3 Bed, Duplex, 1.5 Bath)

We will evaluate preferences for three main characteristics:

  1. Bedrooms: 2, 3, or 4 bedrooms
  2. Style: Ranch, Duplex, or Colonial
  3. Bathrooms: 1, 1.5, or 2 bathrooms

Need help? Feel free to ask BakerBot at any time!

Attribute Choice Investigator

Select any feature below to highlight where it was offered in the FBI crime scene pool and calculate its utility.

FBI Case Log: 9 Target Pairs

House AChosen
2 Bed, Ranch, 1.5 Bath
House B
4 Bed, Colonial, 2 Bath
House C
2 Bed, Duplex, 2 Bath
House DChosen
3 Bed, Ranch, 1 Bath
House E
3 Bed, Duplex, 1.5 Bath
House FChosen
2 Bed, Colonial, 1 Bath
House G
3 Bed, Colonial, 2 Bath
House HChosen
4 Bed, Duplex, 1 Bath
House JChosen
2 Bed, Ranch, 1.5 Bath
House K
4 Bed, Colonial, 1 Bath
House L
3 Bed, Colonial, 1.5 Bath
House MChosen
4 Bed, Duplex, 1 Bath
House N
3 Bed, Colonial, 1.5 Bath
House PChosen
4 Bed, Ranch, 2 Bath
House QChosen
3 Bed, Ranch, 1.5 Bath
House R
2 Bed, Colonial, 1 Bath
House SChosen
2 Bed, Ranch, 2 Bath
House T
3 Bed, Duplex, 1.5 Bath

Profile Blueprint Composite

Calculated Attributes:
Bedrooms:0.67 (2 Bed)
Style:1.00 (Ranch)
Bathrooms:0.71 (1 Bath)
Attribute Importance Range Indicators: Style: 0.86, Bed: 0.38, Bath: 0.27

BakerBot Socratic Coach

Hello! I am BakerBot, your Socratic study assistant. I can guide you through Charlie Eppes' conjoint analysis of the target locations. What questions do you have about part-worth utilities, attribute ranges, or multi-attribute compositional models?

Press Enter to send