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You Can Safely Stand on the Overhanging End of a Heavy

question 27

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You can safely stand on the overhanging end of a heavy plank that rests on a table. How much overhang depends on your mass and the plank's mass. If you can stand on the end of a plank that overhangs the edge of the supporting table 1/4 its total length, how massive is the plank compared to your mass?


Definitions:

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.

SSE

Sum of Squared Errors; a measure of the discrepancy between data and an estimation model, representing the squared differences between observed and predicted values.

Total Sum of Squares

The sum of squared differences between each observation and the overall mean, a measure of total variation within a dataset.

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