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The Prediction Interval for a Particular Value of Y Is

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The prediction interval for a particular value of y is always wider than the confidence interval for mean value of y,given the same data set,x value,and confidence level.


Definitions:

Sum of Squares for Error

A measure of the discrepancies or variations between observed and predicted values in a data set, used in statistical analysis.

SSE

Sum of Squared Errors, a measure of the discrepancies between the data and an estimation model.

Minimized

In statistical or mathematical context, refers to the process of reducing a quantity to its smallest possible value or making an equation or function as small in value as possible.

Sum of Squares for Error

A measure used in statistical analysis to quantify the variation within a data set that is not explained by the model.

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