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A Complete the Table B Find SSxy,SSxx,β1,xˉ,yˉS S _ { x y } , S S _ { x x } , \beta _ { 1 } , \bar { x } , \bar { y }

question 23

Essay

a. Complete the table.
xiyixi2xiyi23523480 Totals Σxi=Σyi=Σxi2=Σxiyi=\begin{array} { | l | c | c | c | c | } \hline & x _ { i } & y _ { i } & x _ { i } ^ { 2 } & x _ { i } y _ { i } \\\hline & 2 & 3 & & \\\hline & 5 & 2 & & \\\hline & 3 & 4 & & \\\hline & 8 & 0 & & \\\hline \text { Totals } & \Sigma x _ { i } = & \Sigma y _ { i } = & \Sigma x _ { i } ^ { 2 } = & \Sigma x _ { i } y _ { i } = \\\hline\end{array}

b. Find SSxy,SSxx,β1,xˉ,yˉS S _ { x y } , S S _ { x x } , \beta _ { 1 } , \bar { x } , \bar { y } , and β^0\hat { \beta } _ { 0 } .
c. Write the equation of the least squares line.

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Definitions:

Scavenger

An organism that consumes dead animals or plants.

Detritivore

An organism that feeds on dead organic material, especially plant detritus, playing a crucial role in nutrient cycling within ecosystems.

Aerobic Respiration

The process of producing cellular energy in the presence of oxygen, involving the breakdown of organic molecules to produce ATP.

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