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An exponential model is one in which the dependent variable, y, is related to the independent variable, x by a function of the formy = a*b^x or, equivalently, y = a*e^cx where a, b ad c are constants of the model and e is Euler's number, which is also the base of natural logarithms.
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Can an exponential decay model have negative y values?
An exponential function can have negative y-values. However, a real-world exponential decay model will never have negative values. Think of it this way... If you divide a positive number by 2 (or take half of it) and then divide that next number by 2, you will never reach or go below 0. For Example: 20, 10, 5, 2.5, 1.25, 0.625, 0.3125, etc. (Each number is half of the number before it.)
What is 746 written in exponential from?
746 in exponential from
What is a relation which are exponential function?
Exponential relationship!
What is 4.75e3 in exponential form?
4.75e3 in exponential notation is: 4.75 × 103
What is a growth factor in exponential growth?
implementation of exponential groth
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.
What is a population in which exponential growth is limited by a density dependent factor?
the answer must be exponential growth model.
How does logistic model of population growth differ from exponential model?
follow the society of light
How is the data represented on a scatter plot that depicts an exponential model?
In a scatter plot that is an exponential model, data can appear to be growing in incremental rates. In this type of model the data will only cross the Y-axis at one point.
In a logistical model exponential is limited by?
A density dependent factor
In the exponential model of population growth the growth rate?
remains constant
What are three things exponential growth and exponential decay have in common?
both have steep slopes both have exponents in their equation both can model population
What is the validity of projections of an arithmetic graph of an exponential growth?
The validity of the projection depends on the validity of the model. If the model is valid over the domain in question then the projection is valid within that domain. If the model is not then the projection is not. And that applies to all kinds of graphs - not just exponential.
Compare the exponential model and the logistic model of population growth. (?
An exponential model has a j-shaped growth rate that increases dramatically over a period of time with unlimited resources. A logistic model of population growth has a s-shaped curve with limited resources leading to a slow growth rate.
Who invented exponentail growth and exponential decay?
Reverend Thomas Malthus developed the concept of Exponential Growth (another name for this is Malthusian growth model.) However the mathematical Exponent function was already know, but not applied to population growth and growth constraints. Exponential Decay is a natural extension of Exponential Growth
What is the forecasting method that takes a fraction of forecast error into account for the next period forecast?
Exponential Smoothing Model
Can a substance ever decay to nothing?
Into nothing at all? No, but it can decay from one thing into another completely. Using the exponential function to model out decay is an accurate estimate for large quantities of a substance, but if there are only a few hundred particles or so of something, the process is discrete and not continuous, so the exponential model is inaccurate.
