While shopping for an air conditioner, Adam Bryer 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 150ft² 280ft² and 420ft² How well does the actual data agree with the predicted values?

c. Suppose Adam’s room measures 230ft² 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 Adam choose?

d. Why do you think the table gives ft² instead of ft³, which would give the volume of the room?

Transcribed Image Text:

ft² (x) 150 175 215 250 280 310 350 370 420 450 BTUS (y) 5000 5500 6000 6500 7000 7500 8000 8500 9000 9500