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(A)Estimate a Simple Linear Regression Model Using the Sample Data

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Essay

(A)Estimate a simple linear regression model using the sample data.How well does the estimated model fit the sample data?
(B)Perform an F-test for the existence of a linear relationship between Y and X.Use a 5% level of significance.
(C)Plot the fitted values versus residuals associated with the model in (A).What does the plot indicate?
(D)Diagnose what may be causing the problem seen in the residuals plot in (C).What issue(s)do you identify?
(E)Suggest an alternative model to address the issues identified in (D).Are you able to obtain an improved fit to the data? Explain your answer.

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Definitions:

Output Produced

The total quantity of goods and services produced by a firm or economy over a specific period.

Barriers to Entry

Obstacles that make it difficult for new competitors to enter a market, including high startup costs, strict regulations, and strong brand loyalty among consumers.

Perfectly Competitive Markets

A market structure characterized by a large number of small firms, a homogeneous product, perfect information, and easy entry and exit from the market.

Non-Price Competition

Non-Price Competition involves businesses trying to win over customers through quality, service, and other factors, not including price.

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