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Q: How can one differentiate an exponential model from linear model given a real world set of data?
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The exponential model of population growth applies?

The exponential model of population growth describes the idea that population growth expands rapidly rather than in a linear fashion, such as human reproduction. Cellular reproduction fits the exponential model of population growth.


A new Mazda CX-9 that sold for $49,200 has a value of $32,590 after 2 years. Find a linear model and exponential model of the scenario, and find for what years the linear model has a greater value for the car, and which year is an equal value?

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What is piecewise linear model?

A piecewise linear (PWL) model can be used to simplify a problem, by replacing a complex model with on that is made up of simpler (linear) pieces. For example, the IV curve for a diode is Id = Is( exp(Vd/n*Vt) - 1). Quite messy. We can instead represent the curve by two pieces. One where the current is zero from 0V, to arround 0.5-0.7V. From here, we approximate the exponential curve with a linear relationship. This linear region is typically fixed on a point on the exponential curve known as the operating point, Q. See link.


How are exponential growth patterns similar to and different from linear growth patterns?

They are similar because the population increases over time in both cases, and also because you are using a mathematical model for a real-world process. They are different because exponential growth can get dramatically big and bigger after a fairly short time. Linear growth keeps going up the same amount each time. Exponential growth goes up by more each time, depending on what the amount (population) is at that time. Linear growth can start off bigger than exponential growth, but exponential growth will always win out.


What is linear programming used for?

Linear Programming is used for determining a way to find the best solution or outcome for a given mathematical model represented as a linear relationship.


What are the advantage of linear model?

advantages and disadvantages of linear model communication


What is a population in which exponential growth is limited by a density dependent factor?

the answer must be exponential growth model.


What are the Advantages of linear model communication?

advantages and disadvantages of linear model communication


When does it make sense to chose a linear function to model a set of data?

If a linear model accurately reflects the measured data, then the linear model makes it easy to predict what outcomes will occur given any input within the range for which the model is valid. I chose the word valid, because many physical occurences may only be linear within a certain range. Consider applying force to stretch a spring. Within a certain distance, the spring will move a linear distance proportional to the force applied. Outside that range, the relationship is no longer linear, so we restrict our model to the range where it does work.


What is a linear model?

A model in which your mother.


How does logistic model of population growth differ from exponential model?

follow the society of light


Differentiate between the E-R model and Relational model?

The E-R model (Entity-Relationship model) is a visual representation of entities, attributes, and relationships in a database, while the relational model organizes data into tables with rows and columns. The E-R model focuses on the logical design of a database, while the relational model focuses on the physical implementation of data storage and retrieval. E-R model uses entities, attributes, and relationships to depict data structures, while the relational model uses tables, keys, and relationships to organize data.