Refer to the Buena School bus data. Develop a regression equation that expresses the relationship between age of the bus and maintenance. The age of the bus is the inde- pendent variable.
Refer to the Buena School bus data. Develop a regression equation that expresses the relationship between age of the bus and maintenance. The age of the bus is the inde- pendent variable.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Concept explainers
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Question
- Refer to the Buena School bus data. Develop a regression equation that expresses the relationship between age of the bus and maintenance. The age of the bus is the inde- pendent variable.
- Draw a
scatter diagram . What does this diagram suggest as to the relationship
- Draw a
between the two variables? Is it direct or indirect? Does it appear to be strong or
weak?
- Develop a regression equation. How much does an additional year add to the main-
tenance cost. What is the estimated maintenance cost for a 10-year-old bus?
- Conduct a test of hypothesis to determine whether the slope of the regression line is greater than zero. Use the .05 significance level. Interpret your findings from parts (a),
(b), and (c) in a brief report.
Transcribed Image Text:A
В
E
F
H
1
ID
Manufacturer Engine Type
Engine Type (0=diesel)
Сaрacity
Maintenance cost
Age
Odometer Miles
Miles
2
10
Keiser
Gasoline
1
14
4646
54375
11973
3
396
Thompson
Diesel
14
1072
2
21858
11969
4
122
Bluebird
Gasoline
1
55
9394
10
116580
11967
5
751
Keiser
Diesel
14
1078
2
22444
11948
6
279
Bluebird
Diesel
55
1008
2
22672
11925
7
500
Bluebird
Gasoline
1
55
5329
50765
11922
8
520
Bluebird
Diesel
55
4794
10
119130
11896
9
759
Keiser
Diesel
55
3952
87872
11883
10
714
Bluebird
Diesel
42
3742
7
73703
11837
11
875
Bluebird
Diesel
55
4376
9.
97947
11814
12
600
Bluebird
Diesel
55
4832
10
119860
11800
13
953
Bluebird
Diesel
55
5160
10
117700
11798
14
101
Bluebird
Diesel
55
1955
4
41096
11789
15
358
Bluebird
Diesel
55
2775
6.
70086
11782
16
29
Bluebird
Gasoline
1
55
5352
6.
69438
11781
17
365
Keiser
Diesel
55
3065
6.
63384
11778
18
162
Keiser
Gasoline
1
55
3143
31266
11758
19
686
Bluebird
Diesel
55
1569
3
34674
11757
20
370
Keiser
Gasoline
1
55
7766
8
86528
11707
21
887
Bluebird
Diesel
55
3743
8
93672
11704
22
464
Bluebird
Gasoline
1
55
2540
34530
11698
23
948
Keiser
Diesel
42
4342
9.
97956
11691
24
678
Keiser
Diesel
55
3361
7
75229
11668
25
481
Keiser
Gasoline
1
3097
3.
34362
11662
26
43
Bluebird
Gasoline
55
8263
102969
11615
27
704
Bluebird
Diesel
55
4218
8
83424
11610
28
814
Bluebird
Diesel
55
2028
4
40824
11576
29
39
Bluebird
Gasoline
1
55
5821
69444
11533
30
699
Bluebird
Gasoline
1
55
9069
9.
98307
11518
31
75
Bluebird
Diesel
55
3011
6.
71970
11462
32
693
Keiser
Gasoline
55
9193
101889
11461
33
989
Keiser
Diesel
55
4795
106605
11418
34
982
Bluebird
Diesel
55
505
1
10276
11359
35
321
Bluebird
Diesel
42
2732
6.
70122
11358
36
724
Keiser
Diesel
42
3754
8
91968
11344
37
732
Keiser
Diesel
42
4640
9.
101196
11342
38
880
Keiser
Gasoline
1
55
8410
9
97065
11336
39
193
Thompson
Diesel
14
5922
11
128711
11248
40
884
Bluebird
Diesel
55
4364
92457
11231
41
57
Bluebird
Diesel
55
3190
7
79240
11222
42
731
Bluebird
Diesel
42
3213
6
68526
11168
Bus Data 17e
+
o o o o
Transcribed Image Text:A
B
E
F
G
H
41
57
Bluebird
Diesel
55
3190
7
79240
11222
42
731
Bluebird
Diesel
42
3213
68526
11168
43
61
Keiser
Diesel
55
4139
103536
11148
44
135
Bluebird
Diesel
55
3560
7
76426
11127
45
833
Thompson
Diesel
14
3920
8
90968
11112
46
671
Thompson
Gasoline
1
14
6733
8
89792
11100
47
692
Bluebird
Diesel
55
3770
8
93248
11048
48
200
Bluebird
Diesel
55
5168
10
103700
11018
49
754
Keiser
Diesel
14
7380
14
146860
11003
50
540
Bluebird
Gasoline
1
55
3656
4
45284
10945
51
660
Bluebird
Gasoline
1
55
6213
6.
64434
10911
52
353
Keiser
Gasoline
1
55
4279
4
45744
10902
53
482
Bluebird
Gasoline
1
55
10575
10
116534
10802
54
398
Thompson
Diesel
6
4752
9.
95922
10802
55
984
Bluebird
Diesel
55
3809
8
87664
10760
56
977
Bluebird
Diesel
55
3769
7
79422
10759
57
705
Keiser
Diesel
42
2152
4
47596
10755
58
767
Keiser
Diesel
55
2985
71538
10726
59
326
Bluebird
Diesel
55
4563
107343
10724
60
120
Keiser
Diesel
42
4723
10
110320
10674
61
554
Bluebird
Diesel
42
1826
4
44604
10662
62
695
Bluebird
Diesel
55
1061
2
23152
10633
63
Keiser
Gasoline
1
55
3527
4
46848
10591
64
861
Bluebird
Gasoline
1
55
9669
10
106040
10551
65
603
Keiser
Diesel
14
2116
4
44384
10518
66
156
Thompson
Diesel
14
6212
12
140460
10473
67
427
Keiser
Gasoline
1
55
6927
7
73423
10355
68
883
Bluebird
Gasoline
1
55
1881
2
20742
10344
69
168
Thompson
Gasoline
1
14
7004
7
83006
10315
70
954
Bluebird
Diesel
42
5284
10
101000
10235
71
768
Bluebird
Diesel
42
3173
7
71778
10227
72
490
Bluebird
Gasoline
1
55
10133
10
106240
10210
73
725
Bluebird
Diesel
55
2356
57065
10209
74
45
Keiser
Diesel
55
3124
6.
60102
10167
75
38
Keiser
Gasoline
1
14
5976
6.
61662
10140
76
314
Thompson
Diesel
6
5408
11
128117
10128
77
507
Bluebird
Diesel
55
3690
7
72849
10095
78
40
Bluebird
Gasoline
1
55
9573
10
118470
10081
79
918
Bluebird
Diesel
55
2470
53620
10075
80
387
Bluebird
Gasoline
1
55
6863
8
89960
10055
81
418
Bluebird
Diesel
55
4513
104715
10000
82
Bus Data 17e
+
O o oo
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