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Changing the Units of Measurement Obviously Will Have an Effect

question 16

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Changing the units of measurement obviously will have an effect on the slope of your regression function. For example, let Y*= aY and X* = bX. Then it is easy but tedious to show that β^1=i=1nxiyii=1nxi2=abβ^1\hat { \beta } _ { 1 } ^ {* } = \frac { \sum _ { i = 1 } ^ { n } x _ { i } ^ { * } y _ { i } ^ { * } } { \sum _ { i = 1 } ^ { n } x _ { i } ^ { * 2 } } = \frac { a } { b } \hat { \beta } _ { 1 } Given this result, how do you think the standard errors and the regression R2 will change?

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Definitions:

Psychosocial Development

Erik Erikson's theory that individuals pass through eight developmental stages, each involving a specific crisis that contributes to the formation of personality.

Erik Erikson

A prominent psychologist known for his theory on psychosocial development, which outlines eight stages of human growth and development throughout the lifespan.

Defy Authority

To openly resist or refuse to obey figures of authority or established rules.

Value

The importance, worth, or usefulness of something, often determined by social, personal, or economic factors.

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