Identify and interpret the t-tests for each of the coefficients (one separate paragraph for each variable, in numerical order): Are the signs of the coefficients as expected? If not, why not? For each of the coefficients, interpret the numerical value. Using the p-value approach, is the null hypothesis for the t-test rejected or not rejected for each coefficient? Why or why not? Interpret the implications of these findings for the variable. Identify the variable with the greatest significance. record Agent Price Size Bedrooms Baths Pool (yes is 1) Garage (Yes is 1) Days Township Mortgage type Years FICO Default (Yes is 1) 1 Marty 206424 1820 2 1.5 1 1 33 2 Fixed 2 824 0 2 Rose 346150 3010 3 2 0 0 36 4 Fixed 9 820 0 3 Carter 372360 3210 4 3 0 1 21 2 Fixed 18 819 0 4 Peterson 310622 3330 3 2.5 1 0 26 3 Fixed 17 817 0 5 Carter 496100 4510 6 4.5 0 1 13 4 Fixed 17 816 0 6 Peterson 294086 3440 4 3 1 1 31 4 Fixed 19 813 0 7 Carter 228810 2630 4 2.5 0 1 39 4 Adjustable 10 813 0 8 Isaacs 384420 4470 5 3.5 0 1 26 2 Fixed 6 812 0 9 Peterson 416120 4040 5 3.5 0 1 26 4 Fixed 3 810 0 10 Isaacs 487494 4380 6 4 1 1 32 3 Fixed 6 808 0 11 Rose 448800 5280 6 4 0 1 35 4 Fixed 8 806 1 12 Peterson 388960 4420 4 3 0 1 50 2 Adjustable 9 805 1 13 Marty 335610 2970 3 2.5 0 1 25 3 Adjustable 9 801 1 14 Rose 276000 2300 2 1.5 0 0 34 1 Fixed 20 798 0 15 Rose 346421 2970 4 3 1 1 17 3 Adjustable 10 795 0 16 Isaacs 453913 3660 6 4 1 1 12 3 Fixed 18 792 0 17 Carter 376146 3290 5 3.5 1 1 28 2 Adjustable 9 792 1 18 Peterson 694430 5900 5 3.5 1 1 36 3 Adjustable 10 788 0 19 Rose 251269 2050 3 2 1 1 38 3 Fixed 16 786 0 20 Rose 547596 4920 6 4.5 1 1 37 5 Fixed 2 785 0 21 Marty 214910 1950 2 1.5 1 0 20 4 Fixed 6 784 0 22 Rose 188799 1950 2 1.5 1 0 52 1 Fixed 10 782 0 23 Carter 459950 4680 4 3 1 1 31 4 Fixed 8 781 0 24 Isaacs 264160 2540 3 2.5 0 1 40 1 Fixed 18 780 0 25 Carter 393557 3180 4 3 1 1 54 1 Fixed 20 776 0 26 Isaacs 478675 4660 5 3.5 1 1 26 5 Adjustable 9 773 0 27 Carter 384020 4220 5 3.5 0 1 23 4 Adjustable 9 772 1 28 Marty 313200 3600 4 3 0 1 31 3 Fixed 19 772 0 29 Isaacs 274482 2990 3 2 1 0 37 3 Fixed 5 769 0 30 Marty 167962 1920 2 1.5 1 1 31 5 Fixed 6 769 0 31 Isaacs 175823 1970 2 1.5 1 0 28 5 Adjustable 9 766 1 32 Isaacs 226498 2520 4 3 1 1 28 3 Fixed 8 763 1 33 Carter 316827 3150 4 3 1 1 22 4 Fixed 2 759 1 34 Carter 189984 1550 2 1.5 1 0 22 2 Fixed 17 758 0 35 Marty 366350 3090 3 2 1 1 23 3 Fixed 5 754 1 36 Isaacs 416160 4080 4 3 0 1 25 4 Fixed 12 753 0 37 Isaacs 308000 3500 4 3 0 1 37 2 Fixed 18 752 0 38 Rose 294357 2620 4 3 1 1 15 4 Fixed 10 751 0 39 Carter 337144 2790 4 3 1 1 19 3 Fixed 15 749 0 40 Peterson 299730 2910 3 2 0 0 31 2 Fixed 13 748 0 41 Rose 445740 4370 4 3 0 1 19 3 Fixed 5 746 0 42 Rose 410592 4200 4 3 1 1 27 1 Adjustable 9 741 1 43 Peterson 667732 5570 5 3.5 1 1 29 5 Fixed 4 740 0 44 Rose 523584 5050 6 4 1 1 19 5 Adjustable 10 739 0 45 Marty 336000 3360 3 2 0 0 32 3 Fixed 6 737 0 46 Marty 202598 2270 3 2 1 0 28 1 Fixed 10 737 0 47 Marty 326695 2830 3 2.5 1 0 30 4 Fixed 8 736 0 48 Rose 321320 2770 3 2 0 1 23 4 Fixed 6 736 0 49 Isaacs 246820 2870 4 3 0 1 27 5 Fixed 13 735 0 50 Isaacs 546084 5910 6 4 1 1 35 5 Adjustable 10 731 0 51 Isaacs 793084 6800 8 5.5 1 1 27 4 Fixed 6 729 0 52 Isaacs 174528 1600 2 1.5 1 0 39 2 Fixed 15 728 0 53 Peterson 392554 3970 4 3 1 1 30 4 Fixed 17 726 0 54 Peterson 263160 3060 3 2 0 1 26 3 Fixed 10 726 0 55 Rose 237120 1900 2 1.5 1 0 14 3 Fixed 18 723 0 56 Carter 225750 2150 2 1.5 1 1 27 2 Fixed 15 715 0 57 Isaacs 848420 7190 6 4 0 1 49 1 Fixed 5 710 0 58 Carter 371956 3110 5 3.5 1 1 29 5 Fixed 8 710 0 59 Carter 404538 3290 5 3.5 1 1 24 2 Fixed 14 707 0 60 Rose 250090 2810 4 3 0 1 18 5 Fixed 11 704 0 61 Peterson 369978 3830 4 2.5 1 1 27 4 Fixed 10 703 0 62 Peterson 209292 1630 2 1.5 1 0 18 3 Fixed 10 701 0 63 Isaacs 190032 1850 2 1.5 1 1 30 4 Adjustable 2 675 0 64 Isaacs 216720 2520 3 2.5 0 0 2 4 Adjustable 5 674 1 65 Marty 323417 3220 4 3 1 1 22 4 Adjustable 2 673 0 66 Isaacs 316210 3070 3 2 0 0 30 1 Adjustable 1 673 0 67 Peterson 226054 2090 2 1.5 1 1 28 1 Adjustable 6 670 0 68 Marty 183920 2090 3 2 0 0 30 2 Adjustable 8 669 1 69 Rose 248400 2300 3 2.5 1 1 50 2 Adjustable 4 667 0 70 Isaacs 466560 5760 5 3.5 0 1 42 4 Adjustable 3 665 0 71 Rose 667212 6110 6 4 1 1 21 3 Adjustable 8 662 1 72 Peterson 362710 4370 4 2.5 0 1 24 1 Adjustable 2 656 0 73 Rose 265440 3160 5 3.5 1 1 22 5 Adjustable 3 653 0 74 Rose 706596 6600 7 5 1 1 40 3 Adjustable 7 652 1 75 Marty 293700 3300 3 2 0 0 14 4 Adjustable 7 647 1 76 Marty 199448 2330 2 1.5 1 1 25 3 Adjustable 5 644 1 77 Carter 369533 4230 4 3 1 1 32 2 Adjustable 2 642 0 78 Marty 230121 2030 2 1.5 1 0 21 2 Adjustable 3 639 0 79 Marty 169000 1690 2 1.5 0 0 20 1 Adjustable 7 639 1 80 Peterson 190291 2040 2 1.5 1 1 31 4 Adjustable 6 631 1 81 Rose 393584 4660 4 3 1 1 34 3 Adjustable 7 630 1 82 Marty 363792 2860 3 2.5 1 1 48 5 Adjustable 3 626 0 83 Carter 360960 3840 6 4.5 0 1 32 2 Adjustable 5 626 1 84 Carter 310877 3180 3 2 1 1 40 1 Adjustable 6 624 1 85 Peterson 919480 7670 8 5.5 1 1 30 4 Adjustable 1 623 0 86 Carter 392904 3400 3 2 1 0 40 2 Adjustable 8 618 1 87 Carter 200928 1840 2 1.5 1 1 36 4 Adjustable 3 618 1 88 Carter 537900 4890 6 4 0 1 23 1 Adjustable 7 614 0 89 Rose 258120 2390 3 2.5 0 1 23 1 Adjustable 6 614 1 90 Carter 558342 6160 6 4 1 1 24 3 Adjustable 7 613 0 91 Marty 302720 3440 4 2.5 0 1 38 3 Adjustable 3 609 1 92 Isaacs 240115 2220 2 1.5 1 0 39 5 Adjustable 1 609 0 93 Carter 793656 6530 7 5 1 1 53 4 Adjustable 3 605 1 94 Peterson 218862 1930 2 1.5 1 0 58 4 Adjustable 1 604 0 95 Peterson 383081 3510 3 2 1 1 27 2 Adjustable 6 601 1 96 Marty 351520 3380 3 2 0 1 35 2 Adjustable 8 599 1 97 Peterson 841491 7030 6 4 1 1 50 4 Adjustable 8 596 1 98 Marty 336300 2850 3 2.5 0 0 28 1 Adjustable 6 595 1 99 Isaacs 312863 3750 6 4 1 1 12 4 Adjustable 2 595 0 100 Carter 275033 3060 3 2 1 1 27 3 Adjustable 3 593 0 101 Peterson 229990 2110 2 1.5 0 0 37 3 Adjustable 6 591 1 102 Isaacs 195257 2130 2 1.5 1 0 11 5 Adjustable 8 591 1 103 Marty 194238 1650 2 1.5 1 1 30 2 Adjustable 7 590 1 104 Peterson 348528 2740 4 3 1 1 27 5 Adjustable 3 584 1 105 Peterson 241920 2240 2 1.5 0 1 34 5 Adjustable 8 583 1
- Identify and interpret the t-tests for each of the coefficients (one separate paragraph for each variable, in numerical order): Are the signs of the coefficients as expected? If not, why not? For each of the coefficients, interpret the numerical value. Using the p-value approach, is the null hypothesis for the t-test rejected or not rejected for each coefficient? Why or why not? Interpret the implications of these findings for the variable. Identify the variable with the greatest significance.
record
Agent
Price
Size
Bedrooms
Baths
Pool (yes is 1)
Garage (Yes is 1)
Days
Township
Mortgage type
Years
FICO
Default (Yes is 1)
1
Marty
206424
1820
2
1.5
1
1
33
2
Fixed
2
824
0
2
Rose
346150
3010
3
2
0
0
36
4
Fixed
9
820
0
3
Carter
372360
3210
4
3
0
1
21
2
Fixed
18
819
0
4
Peterson
310622
3330
3
2.5
1
0
26
3
Fixed
17
817
0
5
Carter
496100
4510
6
4.5
0
1
13
4
Fixed
17
816
0
6
Peterson
294086
3440
4
3
1
1
31
4
Fixed
19
813
0
7
Carter
228810
2630
4
2.5
0
1
39
4
Adjustable
10
813
0
8
Isaacs
384420
4470
5
3.5
0
1
26
2
Fixed
6
812
0
9
Peterson
416120
4040
5
3.5
0
1
26
4
Fixed
3
810
0
10
Isaacs
487494
4380
6
4
1
1
32
3
Fixed
6
808
0
11
Rose
448800
5280
6
4
0
1
35
4
Fixed
8
806
1
12
Peterson
388960
4420
4
3
0
1
50
2
Adjustable
9
805
1
13
Marty
335610
2970
3
2.5
0
1
25
3
Adjustable
9
801
1
14
Rose
276000
2300
2
1.5
0
0
34
1
Fixed
20
798
0
15
Rose
346421
2970
4
3
1
1
17
3
Adjustable
10
795
0
16
Isaacs
453913
3660
6
4
1
1
12
3
Fixed
18
792
0
17
Carter
376146
3290
5
3.5
1
1
28
2
Adjustable
9
792
1
18
Peterson
694430
5900
5
3.5
1
1
36
3
Adjustable
10
788
0
19
Rose
251269
2050
3
2
1
1
38
3
Fixed
16
786
0
20
Rose
547596
4920
6
4.5
1
1
37
5
Fixed
2
785
0
21
Marty
214910
1950
2
1.5
1
0
20
4
Fixed
6
784
0
22
Rose
188799
1950
2
1.5
1
0
52
1
Fixed
10
782
0
23
Carter
459950
4680
4
3
1
1
31
4
Fixed
8
781
0
24
Isaacs
264160
2540
3
2.5
0
1
40
1
Fixed
18
780
0
25
Carter
393557
3180
4
3
1
1
54
1
Fixed
20
776
0
26
Isaacs
478675
4660
5
3.5
1
1
26
5
Adjustable
9
773
0
27
Carter
384020
4220
5
3.5
0
1
23
4
Adjustable
9
772
1
28
Marty
313200
3600
4
3
0
1
31
3
Fixed
19
772
0
29
Isaacs
274482
2990
3
2
1
0
37
3
Fixed
5
769
0
30
Marty
167962
1920
2
1.5
1
1
31
5
Fixed
6
769
0
31
Isaacs
175823
1970
2
1.5
1
0
28
5
Adjustable
9
766
1
32
Isaacs
226498
2520
4
3
1
1
28
3
Fixed
8
763
1
33
Carter
316827
3150
4
3
1
1
22
4
Fixed
2
759
1
34
Carter
189984
1550
2
1.5
1
0
22
2
Fixed
17
758
0
35
Marty
366350
3090
3
2
1
1
23
3
Fixed
5
754
1
36
Isaacs
416160
4080
4
3
0
1
25
4
Fixed
12
753
0
37
Isaacs
308000
3500
4
3
0
1
37
2
Fixed
18
752
0
38
Rose
294357
2620
4
3
1
1
15
4
Fixed
10
751
0
39
Carter
337144
2790
4
3
1
1
19
3
Fixed
15
749
0
40
Peterson
299730
2910
3
2
0
0
31
2
Fixed
13
748
0
41
Rose
445740
4370
4
3
0
1
19
3
Fixed
5
746
0
42
Rose
410592
4200
4
3
1
1
27
1
Adjustable
9
741
1
43
Peterson
667732
5570
5
3.5
1
1
29
5
Fixed
4
740
0
44
Rose
523584
5050
6
4
1
1
19
5
Adjustable
10
739
0
45
Marty
336000
3360
3
2
0
0
32
3
Fixed
6
737
0
46
Marty
202598
2270
3
2
1
0
28
1
Fixed
10
737
0
47
Marty
326695
2830
3
2.5
1
0
30
4
Fixed
8
736
0
48
Rose
321320
2770
3
2
0
1
23
4
Fixed
6
736
0
49
Isaacs
246820
2870
4
3
0
1
27
5
Fixed
13
735
0
50
Isaacs
546084
5910
6
4
1
1
35
5
Adjustable
10
731
0
51
Isaacs
793084
6800
8
5.5
1
1
27
4
Fixed
6
729
0
52
Isaacs
174528
1600
2
1.5
1
0
39
2
Fixed
15
728
0
53
Peterson
392554
3970
4
3
1
1
30
4
Fixed
17
726
0
54
Peterson
263160
3060
3
2
0
1
26
3
Fixed
10
726
0
55
Rose
237120
1900
2
1.5
1
0
14
3
Fixed
18
723
0
56
Carter
225750
2150
2
1.5
1
1
27
2
Fixed
15
715
0
57
Isaacs
848420
7190
6
4
0
1
49
1
Fixed
5
710
0
58
Carter
371956
3110
5
3.5
1
1
29
5
Fixed
8
710
0
59
Carter
404538
3290
5
3.5
1
1
24
2
Fixed
14
707
0
60
Rose
250090
2810
4
3
0
1
18
5
Fixed
11
704
0
61
Peterson
369978
3830
4
2.5
1
1
27
4
Fixed
10
703
0
62
Peterson
209292
1630
2
1.5
1
0
18
3
Fixed
10
701
0
63
Isaacs
190032
1850
2
1.5
1
1
30
4
Adjustable
2
675
0
64
Isaacs
216720
2520
3
2.5
0
0
2
4
Adjustable
5
674
1
65
Marty
323417
3220
4
3
1
1
22
4
Adjustable
2
673
0
66
Isaacs
316210
3070
3
2
0
0
30
1
Adjustable
1
673
0
67
Peterson
226054
2090
2
1.5
1
1
28
1
Adjustable
6
670
0
68
Marty
183920
2090
3
2
0
0
30
2
Adjustable
8
669
1
69
Rose
248400
2300
3
2.5
1
1
50
2
Adjustable
4
667
0
70
Isaacs
466560
5760
5
3.5
0
1
42
4
Adjustable
3
665
0
71
Rose
667212
6110
6
4
1
1
21
3
Adjustable
8
662
1
72
Peterson
362710
4370
4
2.5
0
1
24
1
Adjustable
2
656
0
73
Rose
265440
3160
5
3.5
1
1
22
5
Adjustable
3
653
0
74
Rose
706596
6600
7
5
1
1
40
3
Adjustable
7
652
1
75
Marty
293700
3300
3
2
0
0
14
4
Adjustable
7
647
1
76
Marty
199448
2330
2
1.5
1
1
25
3
Adjustable
5
644
1
77
Carter
369533
4230
4
3
1
1
32
2
Adjustable
2
642
0
78
Marty
230121
2030
2
1.5
1
0
21
2
Adjustable
3
639
0
79
Marty
169000
1690
2
1.5
0
0
20
1
Adjustable
7
639
1
80
Peterson
190291
2040
2
1.5
1
1
31
4
Adjustable
6
631
1
81
Rose
393584
4660
4
3
1
1
34
3
Adjustable
7
630
1
82
Marty
363792
2860
3
2.5
1
1
48
5
Adjustable
3
626
0
83
Carter
360960
3840
6
4.5
0
1
32
2
Adjustable
5
626
1
84
Carter
310877
3180
3
2
1
1
40
1
Adjustable
6
624
1
85
Peterson
919480
7670
8
5.5
1
1
30
4
Adjustable
1
623
0
86
Carter
392904
3400
3
2
1
0
40
2
Adjustable
8
618
1
87
Carter
200928
1840
2
1.5
1
1
36
4
Adjustable
3
618
1
88
Carter
537900
4890
6
4
0
1
23
1
Adjustable
7
614
0
89
Rose
258120
2390
3
2.5
0
1
23
1
Adjustable
6
614
1
90
Carter
558342
6160
6
4
1
1
24
3
Adjustable
7
613
0
91
Marty
302720
3440
4
2.5
0
1
38
3
Adjustable
3
609
1
92
Isaacs
240115
2220
2
1.5
1
0
39
5
Adjustable
1
609
0
93
Carter
793656
6530
7
5
1
1
53
4
Adjustable
3
605
1
94
Peterson
218862
1930
2
1.5
1
0
58
4
Adjustable
1
604
0
95
Peterson
383081
3510
3
2
1
1
27
2
Adjustable
6
601
1
96
Marty
351520
3380
3
2
0
1
35
2
Adjustable
8
599
1
97
Peterson
841491
7030
6
4
1
1
50
4
Adjustable
8
596
1
98
Marty
336300
2850
3
2.5
0
0
28
1
Adjustable
6
595
1
99
Isaacs
312863
3750
6
4
1
1
12
4
Adjustable
2
595
0
100
Carter
275033
3060
3
2
1
1
27
3
Adjustable
3
593
0
101
Peterson
229990
2110
2
1.5
0
0
37
3
Adjustable
6
591
1
102
Isaacs
195257
2130
2
1.5
1
0
11
5
Adjustable
8
591
1
103
Marty
194238
1650
2
1.5
1
1
30
2
Adjustable
7
590
1
104
Peterson
348528
2740
4
3
1
1
27
5
Adjustable
3
584
1
105
Peterson
241920
2240
2
1.5
0
1
34
5
Adjustable
8
583
1
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