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Building Mathematical Models. Model 1 – traditional – deterministic Effectiveness of targeted water conservation education Model 2 – customizable – parametric Prediction of marriage success. Effectiveness of water conservation education.
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Building Mathematical Models • Model 1 – traditional – deterministic • Effectiveness of targeted water conservation education • Model 2 – customizable – parametric • Prediction of marriage success
Effectiveness of water conservation education • Every month, n students are educated and commit to water conservation. • Education: factors {a1,a2} (turning off water while brushing teeth, taking shower for 5 minutes less) cause water conservation {r1,r2} (3 gallons per day, 35 gallons per day). • (other factors accounted for) - Assume that all monthly water conservation can be attributed to the students efforts. • Then we can derive percentages of students, f1 and f2, that conducted the behaviors a1 and a2.
The equations • ∆ W = n(f1r1+f2r2)(# of days in the month) • We have two unknowns f1 and f2, so we need at least two equations (data for two months). • Then statistical picture: {f1,f2} for each two months. f1 f2 time time
Validating the model Histogram f1 f2 0.5 0.85
Assumptions (filtered out factors): • Physical Appearance • Intellectual Compatibility • Personal Preferences • Idiosyncrasies Model 2 Just before getting married consider the following factors: MARRIAGE SUCCESS PREDICTOR Success Score Factors Marriage Success = ∏PInternal x ∏PExternal
If you are a Greek god considering marriage and choosing between a 1000 prospective spouses Histogram/distribution 0 1 Score
