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 $$\hat { \beta } _ { 1 } ^ {* } = \frac { \sum _ { i = 1 } ^ { n } x _ { i } ^ { * } y _ { i } ^ { * } } { \sum _ { i = 1 } ^ { n } x _ { i } ^ { * 2 } } = \frac { a } { b } \hat { \beta } _ { 1 }$$ Given this result, how do you think the standard errors and the regression R² will change?

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The Answer of 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 $$\hat { \beta } _ { 1 } ^ {* } = \frac { \sum _ { i = 1 } ^ { n } x _ { i } ^ { * } y _ { i } ^ { * } } { \sum _ { i = 1 } ^ { n } x _ { i } ^ { * 2 } } = \frac { a } { b } \hat { \beta } _ { 1 }$$ Given this result, how do you think the standard errors and the regression R² will change?

Changing the Units of Measurement Obviously Will Have an Effect