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Modelamiento
Esther Flores
Estadística aplicada para la gestión
Semana 14
Definition
Mathematical Model
A mathematical model is a
mathematical function that ‘fits’ or
describes real-world data.
Generic Models
❖Linear: y = a + bx
❖Quadratic: y = ax2 + bx + c
❖Logarithmic: y = a + b lnx
❖Exponential: y = abx
❖Power: y = axb
Generic Models
Development of a Good
Mathematics Model
❖Look for a Pattern in the Graph: Examine the
graph of the plotted points and compare the basic
pattern to the known generic graphs.
❖Find and Compare Values of R2: Select functions
that result in larger values of R2, because such
larger values correspond to functions that better
fit the observed points.
❖Think: Use common sense. Don’t use a model
that lead to predicted values known to be totally
unrealistic.
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Semana 14 A.pdf

  • 2. Definition Mathematical Model A mathematical model is a mathematical function that ‘fits’ or describes real-world data.
  • 3. Generic Models ❖Linear: y = a + bx ❖Quadratic: y = ax2 + bx + c ❖Logarithmic: y = a + b lnx ❖Exponential: y = abx ❖Power: y = axb
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11. Development of a Good Mathematics Model ❖Look for a Pattern in the Graph: Examine the graph of the plotted points and compare the basic pattern to the known generic graphs. ❖Find and Compare Values of R2: Select functions that result in larger values of R2, because such larger values correspond to functions that better fit the observed points. ❖Think: Use common sense. Don’t use a model that lead to predicted values known to be totally unrealistic.