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A Company Has Recorded Data on the Daily Demand for Its

question 5

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A company has recorded data on the daily demand for its product (y in thousands of units) and the unit price (x in hundreds of dollars).A sample of 15 days demand and associated prices resulted in the following data. Σx=75Σ(yy)(xx)=59Σy=135(xxˉ)2=94Σ(yy)2=100SSE=62.9681\begin{array} { l l } \Sigma x = 75 & \Sigma ( y - y ) ( x - x ) = - 59 \\\Sigma y = 135 & \sum ( x - \bar { x } ) ^ { 2 } = 94 \\\Sigma ( y - y ) ^ { 2 } = 100 & \\\mathrm { SSE } = 62.9681 &\end{array}
a.
Using the above information, develop the least squares estimated regression line and write the equation.
b.
Compute the coefficient of determination.
c.
Perform an F test and determine whether or not there is a significant relationship between demand and unit price. Let α = .05.
d.
Would the demand ever reach zero? If yes, at what price would the demand be zero?

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Definitions:

Micro-structures

The small-scale and often intricate social and organizational arrangements within societies, influencing how individuals interact and behave.

Macro-structures

Large-scale patterns and processes that characterize society as a whole.

Global Structures

The overarching patterns and systems that shape global relations, economies, and social dynamics across the world.

Symbolic Interactionism

A sociological perspective focusing on the role of symbols and language as core elements of all human interaction.

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