Question: 1. The data file file HEATING.MTP deals with the heating bill for dwelling units of various numbers of rooms. It is available on the class

1. The data file file HEATING.MTP 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. What is the 95% confidence interval for the average FUELBILL of all dwelling units

in this population with ROOMS=6.

f. What is the 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?

x axis:

ROOMS 6 9 8 4 7 7 9 7 9 11 9 9 4 5 9 7 9 8 8 9 9 9 5 7 7 9 7 8 7 6 9 7 8 7 5 8 7 8 5 10 8 8 7 10 9 8 6 10 6 6 6 6 5 8 8 8 5 11 8 8 7 8 9 7 8 5 8 8 6 6 7 5 6 6 7 5 5 5 7 4 7 5 7 5 5 5 6 6 5 6 4 6 7 7 3 5 7 6 8 5 9 6 5 5 6 7 7 5 5 8 5 4 9 6 6 8 4 5 7 6 5 4 3 3 5 5 6 7 10 7 5 5 5 6 6 6 5 8 5 5 6 5 5 5

y axis:

FUELBILL 674 1101 983 259 876 802 1065 857 1060 1253 1019 1061 483 628 1097 987 1265 1053 1152 1309 1272 1356 656 953 989 1249 923 1201 1018 780 1256 990 1162 916 538 786 687 871 524 949 779 848 698 1035 859 678 588 835 584 562 528 524 427 799 693 729 464 1105 779 809 625 825 952 730 850 395 637 621 481 470 598 422 521 489 523 393 384 391 538 268 601 391 556 374 436 386 533 529 396 483 334 451 569 585 280 388 576 553 616 369 721 503 397 393 512 549 568 404 411 571 423 361 719 498 458 609 260 452 608 479 433 312 220 210 384 402 488 586 832 554 395 422 411 487 503 503 382 647 385 423 470 398 342 374

I don't necessarily need the answers if that's too difficult to transcribe the data, more just how to answer the questions. Thank you!

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