Air Conditioning While shopping for an air conditioner, Adam Bryer consulted the

Question

Air Conditioning While shopping for an air conditioner,
Adam Bryer consulted the following table giving a
machine’s BTUs and the square footage (ft^2) 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
150ft^2 280ft^2 and 420ft^2 How well does the actual
data agree with the predicted values?
c. Suppose Adam’s room measures 230 ft^2Use 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 which
would give the volume of the room?

Explanation / Answer

do you have in your possesion a TI-Nspire calculator? If not, disregard the following. I have not heard of a way to find an accurate model without the use of a calculator and under 3 hours for this number of data points. If not, download the trial varsion of the software of the Texas Instruments home page, all and more can be done on this calculator/program Open a Spreadsheet page Enter in one column your "x" values (ft^2(x)) Enter in the next column the "y" values (BTUs) Name both columns in the topmost cell some random name Next, open a new page (a data and statistics page) mouse over to the bottom center of the data and stats page click, select the name of the "x" values column Next, go to the center right side of the screen, and click and select the name of the y values column. They should now be in a scatterplot. Next, go to menu>analyze>regression>linear regression (mx+b) This will give you the line. Now, open up a calculator page. Go to menu>statistics>linear regression (mx+B fill in the x and y list names, then hit select. REMEBER THE F name, ei f1(), f2() I will use f1 as an example f1(the x value you need to find a y value for) hit enter, and it should give you the predicted y value I cant help you with part d however without giving the answer

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