Show That the Two Alternative Formulae for the Slope Given

question 44

Essay

Show that the two alternative formulae for the slope given in your textbook are identical. $$\frac { \frac { 1 } { n } \sum _ { i = 1 } ^ { n } X _ { i } Y _ { i } - \overline { X Y } } { \frac { 1 } { n } \sum _ { i = 1 } ^ { n } X _ { i } ^ { 2 } - \bar { X } ^ { 2 } } = \frac { \sum _ { i = 1 } ^ { n } \left( X _ { i } - \bar { X } \right) \left( Y _ { i } - \bar { Y } \right) } { \sum _ { i = 1 } ^ { n } \left( X _ { i } - \bar { X } ^ { 2 } \right. }$$

---

Definitions:

Marketing Context

The situational conditions and factors affecting the marketplace and strategies within it, including social, economic, and cultural aspects.

Communications Process

The sequence of steps through which information is exchanged or conveyed from a sender to a receiver, involving encoding, transmission, and decoding of messages.

Communication Process

The transfer of information from a sender to a receiver through a medium, involving encoding, message transmission, reception, and decoding.

Glamour Magazine

A popular women's magazine that focuses on fashion, beauty, health, and entertainment.