The sum of squares is a mathematical technique used to measure the variance or dispersion of a set of values from their mean, often employed in statistical analyses like regression and analysis of variance (ANOVA). It quantifies the total deviation of each data point from the mean, providing a foundation for calculating other statistical metrics such as variance and standard deviation.

Sum Of Squares

sum of squares

mathematical technique

Measure of variance

Dispersion of values

set of values

statistical analyses

Regression is a statistical method used to model and analyze the relationships between a dependent variable and one or more independent variables. It is widely used for prediction and forecasting, allowing for the understanding of how changes in predictors influence the outcome variable.

regression

Analysis of Variance (ANOVA) is a statistical method used to determine whether there are any statistically significant differences between the means of three or more independent groups. It helps to understand if the variation in data can be attributed to the factor being tested or is due to random chance.

analysis of variance

ANOVA, or Analysis of Variance, is a statistical method used to determine if there are significant differences between the means of three or more independent groups. It helps in understanding whether the observed variations between group means are due to actual differences or random chance.

ANOVA

total deviation

data point

The mean, often referred to as the average, is a measure of central tendency that is calculated by summing all the values in a dataset and dividing by the number of values. It provides a useful summary of the data but can be heavily influenced by outliers, making it less representative in skewed distributions.

mean

statistical metrics

Variance is a statistical measure that quantifies the dispersion of a set of data points around their mean, providing insight into the degree of spread in the dataset. A higher variance indicates that the data points are more spread out from the mean, while a lower variance suggests they are closer to the mean.

variance

Standard deviation is a statistical measure that quantifies the amount of variation or dispersion in a set of data values. A low standard deviation indicates that the data points tend to be close to the mean, while a high standard deviation indicates a wider spread around the mean.

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