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Learn the definition, formula and examples of standard deviation, a measure of variation of a random variable or data set. Find out how standard deviation is used in statistics, science and probability distributions.
A normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable. It is also called a bell curve and has many applications in statistics and sciences. Learn about its parameters, density, cumulative distribution function, and related functions.
Statistics is the discipline that deals with data collection, analysis, interpretation, and presentation. It uses mathematical techniques, probability theory, and inference to draw conclusions from data that are subject to uncertainty and variation.
Variance is a measure of how far a set of numbers is spread out from their mean. Learn the definition, formula, examples, and properties of variance for discrete and continuous random variables, and how to calculate it from samples or populations.
Learn how to calculate the standard error of a statistic, such as the sample mean, from a sample or a population. Find formulas, examples, and applications in ...
Bayesian statistics is a theory of statistics based on the Bayesian interpretation of probability, where probability expresses a degree of belief in an event. Bayesian methods use Bayes' theorem to compute and update probabilities after obtaining new data and prior information.
A statistic is a quantity computed from a sample for a statistical purpose, such as estimating a population parameter, describing a sample, or testing a hypothesis. Learn about different types of statistics, their functions, and their properties with examples and references.
The formulas given in the previous section allow one to calculate the point estimates of α and β — that is, the coefficients of the regression line for the given set of data. However, those formulas do not tell us how precise the estimates are, i.e., how much the estimators α ^ {\displaystyle {\widehat {\alpha }}} and β ^ {\displaystyle ...
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