An innovative restaurateur owns and operates a dozen "Ultimate Low-Carb" restaurants in northern Arkansas. His signature item is a cheese-encrusted beef medallion wrapped in lettuce

Sales (x, in millions of dollars) is related to Profits (y-hat, in hundreds of thousands of dollars) by the regression equation y-hat = 8.21 + 0.76 x. What is your forecast of profit for a store with sales of $40 million? $50 million?


Students must recognize that "sales" is the independent variable and "profits" is dependent; the problem is not a time series. A store with $40 million in sales: 40 × 0.76 = 30.4; 30.4 + 8.21 = 38.61, or $3,861,000 in profit. Similarly, $50 million in sales is estimated to produce a profit of 46.21 or $4,621,000.

Business

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