In Exercise find the required linear model as follows: If you do not have a graphing calculator or spreadsheet program, use the first and last data points to determine a line. If you do have a graphing calculator or spreadsheet program, find the least-squares regression line.
Physical Science While shopping for an air conditioner, Mario Cekada consulted the following table giving a machine’s BTUs and the square footage (ft2) that it would cool:
ft2 to | BTUs (y) |
150 | 5000 |
175 | 5500 |
215 | 6000 |
250 | 6500 |
280 | 7000 |
310 | 7500 |
350 | 8000 |
370 | 8500 |
420 | 9000 |
450 | 9500 |
(a) Find a linear model for the data.
(b) To check the fit of the data to the line, use the results from part (a) to find the number of BTUs required to cool rooms of 150 ft2, 280 ft2, and 420 ft2. How well do the actual data agree with the predicted values?
(c) Suppose Adam’s room measures 235 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 should Adam choose?
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