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Prediction Intervals - Excel definitions
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Prediction Interval
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Prediction Interval
A range for a predicted value in regression, reflecting uncertainty and calculated using margin of error, critical t-value, and standard error.
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Terms in this set (15)
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Prediction Interval
A range for a predicted value in regression, reflecting uncertainty and calculated using margin of error, critical t-value, and standard error.
Regression Line
A linear equation modeling the relationship between two variables, used to estimate y values from x values in a dataset.
Point Estimate
A single predicted value for y, obtained by substituting a specific x value into the regression equation.
Margin of Error
The amount added and subtracted from a point estimate to create an interval, incorporating variability and confidence level.
Critical t-value
A value from the t-distribution used to scale the margin of error, based on confidence level and degrees of freedom.
Standard Error of the Estimate
A measure of the typical distance between observed y values and the regression line, indicating prediction accuracy.
Linear Correlation
A statistical relationship where two variables change together in a straight-line pattern, often measured by R squared.
R Squared
A statistic indicating the proportion of variance in y explained by x, with values close to 1 showing strong linear association.
Degrees of Freedom
A value representing the number of independent data points minus two in regression, used in t-value calculations.
X Bar
The mean of all x values in a dataset, used in margin of error calculations for prediction intervals.
Sum of Squares
The total of each x value squared and added together, used in regression calculations for variability.
Confidence Interval
A range estimating a population parameter, similar to prediction intervals but for means or proportions.
Data Range
The span of x values collected in a dataset, within which predictions are considered valid.
Scatterplot
A graphical display of paired data points, showing the relationship and linearity between variables.
Excel Function
A built-in formula in Excel, such as T.INV.2T or SUMSQ, used to automate statistical calculations.