While shopping for an air conditioner, Manuel consulted the following table, which gives a machines BTUs and
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While shopping for an air conditioner, Manuel consulted the following table, which gives a machine’s BTUs and the square footage (ft2) that it would cool.
(a) Find the equation for the least squares line for the data.
(b) To check the fit of the data to the line, use the results from part (a) to find the BTUs required to cool a room of 150 ft2, 280 ft2, and 420 ft2. How well do the actual data agree with the predicted values?
(c) Suppose Manuel’s room measures 230 ft2. Use the results from part (a) to decide how many BTUs it requires. If air conditioners are available only with the BTU choices in the table, which would Manuel choose?
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