In a Simple Linear Regression Problem, the Following Statistics Are $\sum ( x - \bar { x } ) ( y - \bar { y } )$

question 215

Short Answer

In a simple linear regression problem, the following statistics are calculated from a sample of 10 observations: $\sum ( x - \bar { x } ) ( y - \bar { y } )$ = 2250, $S _ { x }$ = 10, $\sum x$ = 50, $\sum y$ = 75 The least squares estimates of the slope and y-intercept are respectively: $\begin{array}{|l|l|}\hline\text { A. } &225 \text { and }-1117.5\\\hline \text { B. } &2.5 \text { and }-5 \text {. } \\\hline \text { C. } &25 \text { and }-117.5 \\\hline \text { D. } &25 \text { and } 117.5\\\hline\end{array}$

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Definitions:

Normal Time

Refers to the average time in which a task or operation is expected to be completed under normal circumstances.

Performance Rating Factor

A multiplier used to adjust standard time based on the worker's performance to establish fair time standards in work measurement.

Standard Time

The established amount of time required to perform a task under normal conditions, often used for planning and scheduling purposes.

Labour Content

The total amount of work required to produce a good or service, often measured in terms of time or labor hours.