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Building mathematical models to assess the effectiveness of targeted water conservation education on student behavior and predicting marriage success based on internal and external factors. This customizable, parametric approach analyzes factors influencing water conservation and marriage outcomes. Validate the models using data from multiple months and create histograms to visualize student behavior and marriage success rates over time.
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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