Question
The data file below HEATING deals with the heating bill for dwelling units of various numbers of rooms. It is available on the class website.
The data file below HEATING deals with the heating bill for dwelling units of various numbers of rooms. It is available on the class website. Use MINITAB whenever possible in answering the following questions. It is OK to use another software instead of MINITAB, if you prefer to do so.
a. Obtain a scatter-plot of the two variables. Which variable should be on the horizontal axis?
b. Find the linear regression equation resulting from regression of FUELBILL on ROOMS. Give an interpretation for the slope and the intercept.
c. Test the hypothesis that the true slope of the regression line is zero.
d. Predict the FUELBILL for a unit with ROOMS=6.
e. Write a 95% confidence interval for the average FUELBILL of all dwelling units in this population with ROOMS=6.
f. Write a 95% prediction interval for a particular dwelling unit with ROOMS variable equal to 6.
g. A particular 6 room unit last year had a heating bill of $958. Do you find this amount unusually high?
| ROOMS | FUELBILL |
| 6 | 674 |
| 9 | 1101 |
| 8 | 983 |
| 4 | 259 |
| 7 | 876 |
| 7 | 802 |
| 9 | 1065 |
| 7 | 857 |
| 9 | 1060 |
| 11 | 1253 |
| 9 | 1019 |
| 9 | 1061 |
| 4 | 483 |
| 5 | 628 |
| 9 | 1097 |
| 7 | 987 |
| 9 | 1265 |
| 8 | 1053 |
| 8 | 1152 |
| 9 | 1309 |
| 9 | 1272 |
| 9 | 1356 |
| 5 | 656 |
| 7 | 953 |
| 7 | 989 |
| 9 | 1249 |
| 7 | 923 |
| 8 | 1201 |
| 7 | 1018 |
| 6 | 780 |
| 9 | 1256 |
| 7 | 990 |
| 8 | 1162 |
| 7 | 916 |
| 5 | 538 |
| 8 | 786 |
| 7 | 687 |
| 8 | 871 |
| 5 | 524 |
| 10 | 949 |
| 8 | 779 |
| 8 | 848 |
| 7 | 698 |
| 10 | 1035 |
| 9 | 859 |
| 8 | 678 |
| 6 | 588 |
| 10 | 835 |
| 6 | 584 |
| 6 | 562 |
| 6 | 528 |
| 6 | 524 |
| 5 | 427 |
| 8 | 799 |
| 8 | 693 |
| 8 | 729 |
| 5 | 464 |
| 11 | 1105 |
| 8 | 779 |
| 8 | 809 |
| 7 | 625 |
| 8 | 825 |
| 9 | 952 |
| 7 | 730 |
| 8 | 850 |
| 5 | 395 |
| 8 | 637 |
| 8 | 621 |
| 6 | 481 |
| 6 | 470 |
| 7 | 598 |
| 5 | 422 |
| 6 | 521 |
| 6 | 489 |
| 7 | 523 |
| 5 | 393 |
| 5 | 384 |
| 5 | 391 |
| 7 | 538 |
| 4 | 268 |
| 7 | 601 |
| 5 | 391 |
| 7 | 556 |
| 5 | 374 |
| 5 | 436 |
| 5 | 386 |
| 6 | 533 |
| 6 | 529 |
| 5 | 396 |
| 6 | 483 |
| 4 | 334 |
| 6 | 451 |
| 7 | 569 |
| 7 | 585 |
| 3 | 280 |
| 5 | 388 |
| 7 | 576 |
| 6 | 553 |
| 8 | 616 |
| 5 | 369 |
| 9 | 721 |
| 6 | 503 |
| 5 | 397 |
| 5 | 393 |
| 6 | 512 |
| 7 | 549 |
| 7 | 568 |
| 5 | 404 |
| 5 | 411 |
| 8 | 571 |
| 5 | 423 |
| 4 | 361 |
| 9 | 719 |
| 6 | 498 |
| 6 | 458 |
| 8 | 609 |
| 4 | 260 |
| 5 | 452 |
| 7 | 608 |
| 6 | 479 |
| 5 | 433 |
| 4 | 312 |
| 3 | 220 |
| 3 | 210 |
| 5 | 384 |
| 5 | 402 |
| 6 | 488 |
| 7 | 586 |
| 10 | 832 |
| 7 | 554 |
| 5 | 395 |
| 5 | 422 |
| 5 | 411 |
| 6 | 487 |
| 6 | 503 |
| 6 | 503 |
| 5 | 382 |
| 8 | 647 |
| 5 | 385 |
| 5 | 423 |
| 6 | 470 |
| 5 | 398 |
| 5 | 342 |
| 5 | 374 |
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started
Continuous Nowhere Differentiable Functions The Monsters Of Analysis
Authors: Marek Jarnicki, Peter Pflug
1st Edition
3319126709, 9783319126708
