Question 2: Dataset "rent" Are rent rates influenced by the student population in a college town? Let rent be the average monthly rent paid on rental units in a college town in the United States. Let pop denote the total city population, gyginç the average city income, and pctstu the student population as a percent of the total population. One model to test for a relationship is rent = Bo + B1 · pop + B2 · avginc + B3 · pctstu + € 1) State the null hypothesis that size of the student body relative to the population has no ceteris paribus (ceteris paribus = everything else stays the same) effect on monthly rents. State the alternative that there is an effect. 2) What signs do you expect for ß1 and B2? 3) Estimate the above equation using the data and report the results. 4) What is wrong with the statement: "A 10% increase in population is associated with about a 6.6% increase in rent"?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.4: Combining And Decomposing Functions
Problem 18E
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city pop avginc pctstu rent
1 77759 19568 23.17031 342
2 141865 31885 20.98403 496
3 42099 21202 24.383 351
4 46209 29044 39.32784 588
5 110330 56307 16.5005 925
6 132605 35103 11.45658 630
7 83312 29407 29.77842 521
8 87758 26826 24.35903 422
9 130474 25811 14.57149 568
10 84770 21077 30.70308 383
11 124773 23453 27.23346 444
12 45734 14286 40.2239 347
13 63502 22967 33.18006 422
14 73233 22346 20.32827 636
15 60633 18393 49.28999 403
16 71305 19353 22.15693 325
17 47198 24636 45.79643 404
18 59738 24565 39.35184 414
19 65608 22900 34.30679 415
20 37712 21531 32.41143 396
21 40641 20043 17.43559 332
22 219531 21898 13.36167 354
23 95802 33140 25.43162 538
24 50677 24719 63.23184 451
25 80277 23207 22.8596 403
26 109592 33344 32.91664 568
27 48812 24004 24.35672 399
28 41882 21174 20.77981 304
29 69101 22059 32.07768 382
30 191972 28056 15.42725 379
31 62126 23648 14.48991 366
32 29541 25152 55.38404 493
33 101082 17738 17.44623 456
34 163860 21242 14.4654 409
35 38719 30489 39.66786 489
36 136611 24354 13.53185 440
37 207951 32451 14.01195 479
38 44972 12206 27.72836 374
39 74111 25326 16.10827 355
40 49425 25456 21.23217 367
41 28176 21766 51.08603 393
42 28835 21463 43.73504 401
43 80071 25165 22.16908 362
44 36676 18501 40.82233 354
45 44757 23212 35.46261 385
46 112669 25369 19.02919 425
47 632910 26651 11.69945 422
48 38923 18257 71.20982 490
49 98052 23216 17.65594 392
50 165121 19923 13.08374 332
51 44922 26394 18.24496 388
52 52456 9262 59.5013 428
53 186206 24130 15.21004 381
54 30872 15917 32.35942 346
55 103590 17852 15.74283 353
56 32762 21312 28.17899 328
57 86835 21162 35.97167 336
58 39127 25523 25.48624 493
59 40341 18592 23.93843 469
60 54844 18276 12.78718 311
61 25879 18022 45.86731 355
62 56856 24735 18.71394 352
63 51003 21947 19.53022 344
64 191262 29420 23.31932 472

 

Note: I only need help with problem #4

Question 2: Dataset "rent"
Are rent rates influenced by the student population in a college town? Let rent be the average
monthly rent paid on rental units in a college town in the United States. Let pop denote the total
city population, gyginç the average city income, and pctstu the student population as a percent of
the total population. One model to test for a relationship is
rent = Bo + B1 · pop + B2 · avginc + B3 · pctstu + €
1) State the null hypothesis that size of the student body relative to the population has no
ceteris paribus (ceteris paribus = everything else stays the same) effect on monthly rents.
State the alternative that there is an effect.
2) What signs do you expect for ß1 and B2?
3) Estimate the above equation using the data and report the results.
4) What is wrong with the statement: "A 10% increase in population is associated with
about a 6.6% increase in rent"?
Transcribed Image Text:Question 2: Dataset "rent" Are rent rates influenced by the student population in a college town? Let rent be the average monthly rent paid on rental units in a college town in the United States. Let pop denote the total city population, gyginç the average city income, and pctstu the student population as a percent of the total population. One model to test for a relationship is rent = Bo + B1 · pop + B2 · avginc + B3 · pctstu + € 1) State the null hypothesis that size of the student body relative to the population has no ceteris paribus (ceteris paribus = everything else stays the same) effect on monthly rents. State the alternative that there is an effect. 2) What signs do you expect for ß1 and B2? 3) Estimate the above equation using the data and report the results. 4) What is wrong with the statement: "A 10% increase in population is associated with about a 6.6% increase in rent"?
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