Asked by Dan
While shopping for an air conditioner, Adam Bryer consulted the following table giving a machines BTUs and the square footage that it would cool.
Ft^2(x) BTUs(y)
150 5000
175 5500
215 6000
250 6500
280 7000
310 7500
350 8000
370 8500
420 9000
450 9500
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 ft^2, 280 ft^2 and 420 ft^2. How well does the actual data agree with the predicted values?
c. Suppose Adam's Room measures 230 ft^2. 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 ft^2 instead of ft^3, which would give the volume of the room?
Ft^2(x) BTUs(y)
150 5000
175 5500
215 6000
250 6500
280 7000
310 7500
350 8000
370 8500
420 9000
450 9500
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 ft^2, 280 ft^2 and 420 ft^2. How well does the actual data agree with the predicted values?
c. Suppose Adam's Room measures 230 ft^2. 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 ft^2 instead of ft^3, which would give the volume of the room?
Answers
Answered by
drwls
Try using the least squares curve-fitting web-based tool at
(Broken Link Removed)
(Broken Link Removed)
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.