Question
The accompanying dataset contains the listed prices (in thousands of dollars) and the number of square feet for 28 homes in a neighborhood. The data
The accompanying dataset contains the listed prices (in thousands of dollars) and the number of square feet for 28 homes in a neighborhood. The data come from a simple random sample. For the SRM to work, we need to formulate the model in terms of cost per square foot. Use the selling price per square foot as y and the reciprocal of the number of square feet as x. (Note: If you keep track of the dimensions for the slope and intercept, you'll see that one represents fixed costs and the other, variable costs.) Complete parts a through e.
Price ($000) | Square feet | Price ($/SqFt) | 1/SqFt |
175 | 868 | 201.61 | 0.001152 |
232 | 1021 | 227.23 | 0.000979 |
229 | 1164 | 196.74 | 0.000859 |
338 | 1598 | 211.51 | 0.000626 |
213 | 888 | 239.86 | 0.001126 |
250 | 1210 | 206.61 | 0.000826 |
255 | 1295 | 196.91 | 0.000772 |
265 | 1360 | 194.85 | 0.000735 |
266 | 1440 | 184.72 | 0.000694 |
145 | 610 | 237.7 | 0.001638 |
260 | 1767 | 147.14 | 0.000566 |
166 | 642 | 258.57 | 0.001557 |
160 | 660 | 242.42 | 0.001515 |
383 | 1963 | 195.11 | 0.000509 |
338 | 2022 | 167.16 | 0.000495 |
325 | 2022 | 160.73 | 0.000495 |
422 | 2038 | 207.07 | 0.000491 |
497 | 2690 | 184.76 | 0.000372 |
376 | 2126 | 176.86 | 0.00047 |
381 | 2163 | 176.14 | 0.000462 |
431 | 2190 | 196.8 | 0.000457 |
480 | 2320 | 206.9 | 0.000431 |
433 | 2420 | 178.93 | 0.000413 |
528 | 2690 | 196.28 | 0.000372 |
160 | 609 | 262.73 | 0.001641 |
622 | 3260 | 190.8 | 0.000307 |
183 | 753 | 243.03 | 0.001328 |
296 | 1620 | 182.72 | 0.000617 |
b) Give a 95% confidence interval for the fixed cost (the portion of the cost that does not change with the size of the home) associated with these home prices.
The fixed cost is between $_______ and $_______. (Round to the nearest hundred dollars as needed.)
c) Give a 95% confidence interval for the variable costs (the cost determined by the number of square feet).
The variable costs are from $_______ to $________. (Round to the nearest dollar as needed.)
This problem should be solved using the JMP program (steps included
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