Download Logistic Function Project

Project: Modeling with Logistic Functions
Research population data either humans in various parts of the world or animal
species that can be modeled by a logistic function or find a data set of interest to you
that can be modeled well by a logistic function, and create the model. (Do not select
data that can be found in a textbook; be sure to give a full citation for where you do find
your data. Your data must have a single clearly distinguishable inflection point and be
always increasing or always decreasing to be properly modeled by a logistic function. It
also must have a limiting factor)
Then:
1. display a two-column table of your data (which must contain at least six pairs of
input-output values);
2. create a scatterplot and label it properly;
3. determine the model regression formula, clearly defining the input and output
variables in your formula; (give the logistic function equation).
4. superimpose a graph of the model formula on your scatterplot and comment on
the goodness of fit to the data. Use the model to answer these following
questions:
5. identify the parameter in the model formula that describes the upper limiting
output value of the function (your upper asymptote), then interpret this value,
noting whether this makes sense in the context of the model;
6. locate the coordinates of the inflection point on your logistic curve (your point of
maximum growth) and write at least one sentence interpreting its significance for
the model;
7. give the y-intercept of your graph and write at least one sentence interpreting its
significance for the model.
8. state the domain and the range of your model (graph),
9. comment on the most interesting features of the graphs of the logistic function
10.
Choose two input values, one on either side of the inflection point on the
graph of the logistic function, then evaluate the logistic function outputs and
interpret what these numbers say about the underlying phenomena.
Compile these results, together with an introductory statement about the nature of your
project and a summary of your analysis, in a single word processed document, and
submit this report as a pdf attachment to Mr. Hastey’s e-mail: [email protected]