The Help Function for a Commonly Used Spreadsheet Program Gives

question 22

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:

Sierra Nevada Mountains

A mountain range in the Western United States, known for its striking landscapes, diverse ecosystems, and recreational opportunities.

U.S. Air Pollution

The presence of harmful or excessive quantities of substances including gases, particulates, and biological molecules in the atmosphere of the United States, resulting from both natural processes and human activities, which can harm human health, the environment, and property.

Seriously Affected

Significantly impacted or altered in a negative manner.

Carbon Monoxide

A gas that is clear, has no smell, and is poisonous, resulting from the incomplete burning of materials containing carbon.