A logistic growth curve is a sigmoidal, or S-shaped, curve used to map functions of initially gradual increase, rapid increase in the middle growth period and a slow leveling off to a maximum value at the end. Typically, a logistic growth curve will be used to model patterns of biological growth, such as population or ecology.Know More
The exponential, or geometric, growth of populations is rapid at first but always slowed by their environment's carrying capacity, which is the availability of food and other resources. Other factors will also slow population growth, such as predation and disease.
The logistic growth curve has also been used to model the rate of AIDS infection over a period of time. In the United States, the rate of AIDS infection between 1981 and 1992 followed a classic logistic curve, leveling off at around 47,500 cases each year. Since the logistic growth curve dictates that this leveling off occurs at more or less of a maximum value, as with the maximum population permitted by a given environment's carrying capacity, the results of the study could be extrapolated through to 1995. However, researchers point out that only the infection rate can be reliably plotted as a logistic growth curve because the morbidity rate is affected by advances in AIDS medicine and healthcare.Learn more about Data Graphs
The equation to graph a circle is written in the standard form (x - h)^2 + (y-k)^2 = r^2, where the ordered pair (h, k) is the center of the circle and r is the radius. To get the equation to this form, you may need to complete the square.Full Answer >
A MATLAB 3-D plot is a three dimensional graphical display of either a function or data points produced by MATLAB. MATLAB is both a programming language and a system of software designed for manipulating mathematical matrices, graphing and analyzing data and building mathematical models.Full Answer >
Some examples of correlation coefficients are the relationships between deer hunters and deer in a region, the correlation between the distance a golf ball travels and the amount of force striking it and the relationship between a Fahrenheit and a Celsius temperature value. Correlation coefficients are measured within the range of -1 and 1. A stronger absolute value indicates a stronger linear relationship between the two variables.Full Answer >
When graphing data, the dependent variable goes on the Y-axis while the independent variable goes on the X-axis. This allows consistent graph creation and easy data interpretation in the context of a scientific paper, poster or presentation.Full Answer >