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The Help Function for a Commonly Used Spreadsheet Program Gives

Question 46

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The help function for a commonly used spreadsheet program gives the following definition for the regression slope it estimates: ni=1nXiYi(i=1nXi)(i=1nYi)ni=1nXi2(i=1nXi)2\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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