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(Requires Appendix Material) in Deriving the OLS Estimator, You Minimize β^0 and β^1\hat { \beta } _ { 0 } \text { and } \hat { \beta } _ { 1 }

question 33

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(Requires Appendix material) In deriving the OLS estimator, you minimize the sum of squared residuals with respect to the two parameters β^0 and β^1\hat { \beta } _ { 0 } \text { and } \hat { \beta } _ { 1 }
. The resulting two equations imply two restrictions that OLS places on the data, namely that i=1nu^i=0\sum _ { i = 1 } ^ { n } \hat { u } _ { i } = 0 and
i=1nu^iXi=0\sum _ { i = 1 } ^ { n } \hat { u } _ { i } X _ { i } = 0 Show that you get the same formula for the regression slope and the intercept if you impose these two conditions on the sample regression function.

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The experience of anxiety or concern in a situation where a person has the potential to confirm a negative stereotype about their social group.

Cognitive Resources

Mental processes and capabilities that are available and can be utilized for tasks such as problem-solving, learning, and decision making.

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The anxiety or concern experienced by individuals when they fear that their actions might confirm a negative stereotype about their group.

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The phenomenon where individuals perform better than otherwise because they are aware of a positive stereotype about their group.

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