The Standard Error Of $\bar { Y } , S E ( \bar { Y } ) = \hat { \sigma } _ { \bar { Y } }$

question 7

Multiple Choice

The standard error of $\bar { Y } , S E ( \bar { Y } ) = \hat { \sigma } _ { \bar { Y } }$
is given by the following formula:

• A) \(\frac { 1 } { n } \sum _ { i = 1 } ^ { n } \left( Y _ { i } - \bar { Y } \right) ^ { 2 }\)
• B) \(\frac { s _ { Y } ^ { 2 } } { n } .\)
• C) \(S _ { Y }\)
• D) \(\frac { s _ { Y } } { \sqrt { n } }\)

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Definitions:

Scatter Diagram

A graphical representation that shows the relationship between two quantitative variables by plotting data points on a two-dimensional plane.

Least Squares Regression

A statistical method used to find the best-fitting line through a set of data points by minimizing the sum of the squares of the vertical distances of the points from the line.

Coefficient of Correlation

A mathematical gauge that assesses the strength of the bond between the relative movements of two variables.

Sum of Squares

A statistical measure that quantifies the variability or dispersion of a set of numbers by squaring their deviations from the mean.