A company in the fruit industry bases its annual sales projections on total industry results. Below are company's total demand and sales data for the last 11 years.

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COURSE: STATISTICS AND PROBABILITY - REGRESSION LINEAL ANALYSIS

A company in the fruit industry bases its annual sales projections on total industry results. Below are company's total demand and sales data for the last 11 years.

Total demand (thousands of tons) Total Sales ($ Millions)
304 14
334 9
608 18
502 11
319 8
593 15
426 12
213 6
426 11
441 15
578 21

Request:
a) Construct a scatter plot of data. What can you comment on correlation between these variables? Explain
b) Using least squares method (LSM), find the regresion line that best fits company's sales as a function of total demand.
c) If total industrial demand is 400,000 tons, using linear regression model obtained in b), indicate sales volume.
d) Based on what is observed from the model, is it a good model? Provide technical arguments in this regard.

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