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The Following Is Part of the Results of a Regression

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The following is part of the results of a regression analysis involving sales Y in millions of dollars), advertising expenditures X1 in thousands of dollars), and number of salespeople X2) for a corporation. The regression was performed on a sample of 10 observations.
 Coefilicient  Standard Error  Constant 11.34020.412X10.7980.332X20.1410.278\begin{array}{lr}&\text { Coefilicient }&\text { Standard Error }\\\text { Constant } & -11.340&20.412 \\\mathrm{X}_{1} & 0.798 &0.332\\\mathrm{X}_{2} & 0.141&0.278\end{array}
a. Write the regression equation.
b. Interpret the coefficients of the estimated regression equation found in Part a).
c. At α =0.05, test for the significance of the coefficient of advertising.
d. At α =0.05, test for the significance of the coefficient of number of salespeople.
e. If the company uses $50,000 in advertisement and has 800 salespersons, what are the expected sales? Give your answer in dollars.

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Definitions:

Task-oriented Leadership

A leadership style focused on the efficient completion of tasks and achieving set goals through organizing work and defining roles.

Production-centered Behavior

A management focus that prioritizes efficient production and output over other considerations, such as employee wellbeing.

Collective Benefit

The advantage or positive outcome achieved by a group or community as a whole, rather than individual members.

Follower Ability

refers to the skills, knowledge, and competencies that followers bring to a leader-follower dynamic, influencing leadership effectiveness and group outcomes.

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