Q: What is an exponential best fit model?

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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.

The best description for the exponential growth of species is if the resources available are unlimited, each species can grow to its full potential. This leads the species to grow in numbers.

Exponential relationship!

746 in exponential from

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.)

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The Hoyt Model

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.

the answer must be exponential growth model.

follow the society of light

A trend line is graphed from a linear, exponential, logarithmic or other equation, and trys to fit the sorted data that you have. But it may or may not be correlated. The line of best fit is the trend line that best fits your data, having a high correlation. R closer to 1.

A density dependent factor

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.

remains constant

both have steep slopes both have exponents in their equation both can model population

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.

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exponential rocket