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  1. The most general definition of the coefficient of determination is. In the best case, the modeled values exactly match the observed values, which results in and R2 = 1. A baseline model, which always predicts y, will have R2 = 0. Relation to unexplained variance.

  2. In statistics, the Pearson correlation coefficient ( PCC) [a] is a correlation coefficient that measures linear correlation between two sets of data.

  3. In general, if the random variable X follows the binomial distribution with parameters n ∈ and p ∈ [0,1], we write X ~ B ( n , p ). The probability of getting exactly k successes in n independent Bernoulli trials (with the same rate p) is given by the probability mass function : for k = 0, 1, 2, ..., n, where.

  4. Definition of population values. Let μ be the expected value (the average) of random variable X with density f (x) : The standard deviation σ of X is defined as which can be shown to equal. Using words, the standard deviation is the square root of the variance of X .

  5. In probability theory and statistics, the Poisson distribution is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time if these events occur with a known constant mean rate and independently of the time since the last event. [1] .

  6. In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted Fn . The sequence commonly starts from 0 and 1, although some authors start the sequence from 1 and 1 or sometimes (as did Fibonacci ...

  7. Statistical estimation and inference in linear regression focuses on β. The elements of this parameter vector are interpreted as the partial derivatives of the dependent variable with respect to the various independent variables. ε {\displaystyle {\boldsymbol {\varepsilon }}} is a vector of values.

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