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320_hw1 - 7 1 1-= ∑ = n Y Y X X S i n i i XY Sample...

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Econ 320: Problem Set 1 An exercise on summation and descriptive statistics The following sample includes five observations, and several variables, including X and Y. Obs X Y 1 12 4 2 10 5 3 17 1 4 3 10 5 8 5 Calculate the following quantities 1. n X X n i i = = 1 Sample mean for X 2. n Y Y n i i = = 1 Sample mean of Y 3. Sample Median of X 4. Sample Median of Y 5. 1 ) ( 2 1 2 - - = = n X X S n i i X Sample variance of X 6. 1 ) ( 2 1 2 - - = = n Y Y S n i i Y Sample variance of X
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Unformatted text preview: 7. 1 ) )( ( 1---= ∑ = n Y Y X X S i n i i XY Sample covariance of X and Y 8. 2 ) ( ) )( ( X X Y Y X X b i i i---= ∑ ∑ Sample regression coefficient of Y on X 9. ∑ ∑ ∑ = = =----= 5 1 2 2 5 1 5 1 ) ( ) ( ) )( ( i i i i i i i XY Y Y X X Y Y X X r Sample Correlation coefficient between X and Y...
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