The Help Function for a Commonly Used Spreadsheet Program Gives

question 47

Essay

The help function for a commonly used spreadsheet program gives the following definition for the regression slope it estimates: $$\frac { n \sum _ { i = 1 } ^ { n } X _ { i } Y _ { i } - \left( \sum _ { i = 1 } ^ { n } X _ { i } \right) \left( \sum _ { i = 1 } ^ { n } Y _ { i } \right) } { n \sum _ { i = 1 } ^ { n } X _ { i } ^ { 2 } - \left( \sum _ { i = 1 } ^ { n } X _ { i } \right) ^ { 2 } }$$ Prove that this formula is the same as the one given in the textbook.

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Definitions:

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