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If X and Y Are Two Variables With σx2=12.25\sigma _ { x } ^ { 2 } = 12.25

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If X and Y are two variables with σx2=12.25\sigma _ { x } ^ { 2 } = 12.25 , σy2=17.64\sigma _ { y } ^ { 2 } = 17.64 , and COV(X, Y) = 11.76, then the coefficient of correlation ρ\rho = 0.8.


Definitions:

Assumption of Normality

The presumption that the data being analyzed is drawn from a normally distributed population, which is a common requirement for many statistical tests.

Distribution Shape

Describes the overall appearance of the data's frequency distribution, including characteristics like symmetry, skewness, and kurtosis.

Descriptive Statistics

Statistics that summarize, describe, and analyze a set of data, providing insights into its central tendency, variability, and distribution.

Assumption of Normality

The presumption that the data in a dataset is normally distributed, which is a common precondition for many statistical tests.

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