Cumulative Frequency Distribution and Polygon (2012)

A cumulative frequency distribution (cumulative frequency curve or ogive) and a cumulative frequency polygon require cumulative frequencies. The cumulative frequency is denoted by CF and for a class interval it is obtained by adding the frequency of all the preceding classes including that class. It indicates the total number of …

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Inverse Regression Analysis or Calibration (2012)

In most regression problems we have to determine the value of $Y$  corresponding to a given value of $X$. The inverse of this problem is also called inverse regression analysis or calibration. Inverse Regression Analysis For inverse regression analysis, let the known values represented by matrix $X$ and their corresponding …

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Binomial Probability Distribution (2012)

We first need to understand the Bernoulli Trials to learn about Binomial Probability Distribution. Bernoulli Trials Many experiments consist of repeated independent trials and each trial has only two possible outcomes such as head or tail, right or wrong, alive or dead, defective or non-defective, etc. If the probability of …

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Coefficient of Determination: Model Selection (2012)

$R^2$ pronounced R-squared (Coefficient of determination) is a useful statistic to check the regression fit value. $R^2$ measures the proportion of total variation about the mean $\bar{Y}$ explained by the regression. R is the correlation between $Y$ and $\hat{Y}$ and is usually the multiple correlation coefficient. The coefficient of determination …

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