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Example [ edit ] If both x {\displaystyle x} and y {\displaystyle y} vectors have cardinal (interval or rational) scale, then without knowing x {\displaystyle x} , the best predictor for an unknown y {\displaystyle y} would be y ¯ {\displaystyle {\bar {y}}} , the arithmetic mean of the y {\displaystyle y} -data.
In statistics and optimization, errors and residuals are two closely related and easily confused measures of the deviation of an observed value of an element of a statistical sample from its "true value" (not necessarily observable).
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For a confidence level, there is a corresponding confidence interval about the mean , that is, the interval [, +] within which values of should fall with probability . ...
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The probability density function (PDF) for the Wilson score interval, plus PDF s at interval bounds. Tail areas are equal. Since the interval is derived by solving from the normal approximation to the binomial, the Wilson score interval ( , + ) has the property of being guaranteed to obtain the same result as the equivalent z-test or chi-squared test.