Consider the Sample Regression Function
Y_i = $\hat { \beta }$

question 51

Essay

Consider the sample regression function
Y_i = $\hat { \beta }$ ₀ + $\hat { \beta }$ ₁X_i + $\bar u$ _i.
First, take averages on both sides of the equation. Second, subtract the resulting equation from the above equation to write the sample regression function in deviations from means. (For simplicity, you may want to use small letters to indicate deviations from the mean, i.e., z_i = Z_i - $\bar { Z }$ )Finally, illustrate in a two-dimensional diagram with SSR on the vertical axis and the regression slope on the horizontal axis how you could find the least squares estimator for the slope by varying its values through trial and error.

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Definitions:

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The 26th President of the United States, known for his progressive policies, leadership of the Rough Riders, and contributions to conservation.

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Known for the Tulsa Race Massacre of 1921, where a white mob attacked residents, homes, and businesses in the predominantly African American neighborhood of Greenwood, leading to significant loss of life and property.

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