Based on a sample of n = 15, the least-squares method was used to develop the prediction line Y; = 6+ 2X;. In addition, Syx = 1.5, X = 3 and E (X; - X)² = 15. i= 1 Complete parts (a) and (b) below. Click here to view page 1 of the table of the critical values of t. Click here to view page 2 of the table of the critical values of t.
Based on a sample of n = 15, the least-squares method was used to develop the prediction line Y; = 6+ 2X;. In addition, Syx = 1.5, X = 3 and E (X; - X)² = 15. i= 1 Complete parts (a) and (b) below. Click here to view page 1 of the table of the critical values of t. Click here to view page 2 of the table of the critical values of t.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:Lbpertal areas
Degrees of
freedom
0.25
0.10
0.05
0.025
0.01
0.005
40
50
0.6795
0.6794
1.2901
1.2987
1.6766
1.6759
2.0096
2.0086
24049
2.4033
2.6800
Upper-tail areas
2.6778
Degrees of
freedom
51
52
53
54
55
0.6793
0.6792
0.6791
0.6791
0.6790
1.2984
1.2980
1.2977
1.2974
1.2971
1.6753
1.6747
1.6741
1.6736
1.6730
2.0076
2.0066
2.0057
2.0049
2.0040
2.4017
24002
2.3988
2.3974
2.3961
2.6757
0.25
0.10
0.05
0.025
0.01
0.005
2.6737
2.6718
1.0000
08165
07649
07407
3.0777
1.8856
12.7062
6.3138
2.9200
2.3534
2.1318
31.8207
6.9646
4.5407
3.7469
3.3649
63.6574
9.9248
5.8400
4.6041
2.6700
2.6682
1.6377
1.5332
4.3027
3.1824
2.7764
56
57
58
50
60
0.6789
0.6788
0.6787
0.6787
0.6786
1.2969
1.2966
1.2963
1.2961
1.2958
1.6725
1.6720
1.6716
1.6711
1.6706
2.0032
2.0025
2.0017
2.0010
2.0003
2.3948
2.3936
2.3024
2.3012
2.3901
2.6665
2.6649
2.6633
2.6618
2.6603
4
07267
14759
2.0150
2.5706
4.0322
07176
1.4398
1.9432
2.4460
3.1427
3.7074
07111
07064
0.7027
0.6998
1.4149
1.3968
1.3830
1.3722
1.8946
1.8595
1.8331
1.8125
2.3646
2.3060
2.9080
2.8965
2.8214
2.7638
3.4905
3.3554
3.2408
3.1603
61
62
63
64
65
0.6785
0.6785
0.6784
0.6783
0.6783
1.2956
1.2954
1.2951
1.2949
1.2947
1.6702
1.6608
1.6604
1.6600
1.6686
1.9996
1.9990
1.9983
1.0077
1.9971
1.000
2.3890
2.3880
2.3870
2.3860
2.3851
2.6589
2.2622
2.6575
2.6561
2.6549
2.6536
10
2.2281
2.2010
2.1788
2.1604
2.1448
2.1315
11
12
0.6074
1.3634
1.3562
1.3502
1.7950
2.7181
3.1058
1.7823
1.7700
13
14
15
0.6038
0,6924
0.6912
2.6810
2.6503
2.6245
2.6025
3.0545
3.0123
2.9768
2.9467
1.2945
1.2043
1.2941
1.2939
1.2938
1.6683
1.6679
1.6676
1.6672
1.6669
2.3842
2.3833
2.3824
2.3816
2.3808
2.6524
2.6512
26501
2.6490
2.6470
66
0.6782
0.6782
0.6781
0.6781
0.6780
1.9066
1.0060
1.0055
1.0040
1.9944
1.3450
1.3406
1.7613
1.7531
67
68
60
70
16
17
18
19
0.6901
0.6892
0.6884
0.6876
1.3368
1.3334
1.3304
1.3277
1.7459
1.7396
1,7341
1.7291
2.1199
2.1098
2.1009
2.0030
2.5835
2.5669
2.5524
25395
2.9208
2.8982
2.8784
2.8600
71
72
73
74
75
0.6780
0.6779
0.6779
0.6778
0.6778
1.2936
1.2934
1.2933
1.2931
1.2929
1.6666
1.6663
1.6660
1.6657
1.6654
1.0030
1.9935
1.9030
1.9925
1.9921
2.3800
2.3793
2.3785
2.3778
2.3771
2.6460
2.6459
2.6449
2.6430
2.6430
20
0.6870
1.3253
1.7247
2.0860
25280
2.8453
2.8314
28188
2.8073
2.7960
21
0.6864
0.6858
0.6853
1.3232
1.3212
1.3195
1.3178
1.7207
1.7171
1.7139
1.7100
2.0796
2.0739
2.0687
2.0639
25177
22
23
2.5083
2.4999
2.4022
76
77
78
79
80
0.6777
0.6777
0.6776
0.6776
0.6776
1.2928
1.2926
1.2925
1.2924
1.2922
1.6652
1.6640
1.6646
1.6644
1.6641
1.9917
1.9013
1.9908
1.0005
1.9001
2.3764
2.3758
2.3751
2.3745
2.3739
2.6421
2.6412
2.6403
2.6395
2.6387
24
0.6848
0.6844
25
1.3163
1.7081
2.0595
2.4851
2.7874
26
27
0.6840
0.6837
1.3150
1.3137
1.3125
1.7056
1.7033
1.7011
1.6991
1.6973
2.0555
2.0518
27787
2.7707
2.7633
2.4786
2.4727
81
82
83
84
85
0.6775
0.6775
0.6775
0.6774
0.6774
1.2921
1.2920
1.2918
1.2917
1.2916
1.6639
1.6636
1.6634
1.6632
1.6630
1.9897
1.9893
1.9890
1.986
1.0883
2.3733
2.3727
28
29
30
0.6834
0.6830
0.6828
2.0484
2.0452
2.0423
2.4671
2.4620
2.4573
2.6379
2.6371
2.6364
2.6356
2.6340
13114
2.7564
2.3721
1.3104
2.7500
2.3716
2.3710
31
32
33
34
35
0.6825
0.6822
0.6820
0.6818
0.6816
1.3005
1.3086
1.3077
1.3070
1.3062
1.605s
1.6939
1.6924
1.6909
1.6896
2.0395
2.0369
2.0345
2.0322
2.0301
2.4528
2.4487
2.4448
2.4411
24377
2.7740
2.7385
2.7333
2.7284
2.7238
0.6774
0.6773
0.6773
0.6773
0.6772
86
1.2915
1.2914
1.6620
1.6626
1.6624
1.6622
1.6620
1.9879
1.0876
1.0873
1.0870
1.9867
2.3705
2.3700
2.3605
2.3600
2.3685
2.6342
2.6335
2.6329
2.6322
2.6316
87
88
80
90
1.2912
1.2911
1.2910
36
37
38
0.6814
0.6812
0.6810
0.6808
1.3055
1.3049
1.3042
1.3036
1.3031
1.6883
1.6871
1.6860
1.6849
1.6839
2.0281
2.0262
2.0244
2.4345
2.4314
2.4286
2.7195
2.7154
2.7116
2.7079
2.7045
01
92
93
94
95
0.6772
0.6772
0.6771
0.6771
1.2000
1.2908
1.2907
1.2906
1.2905
1.6618
1.6616
1.6614
1.6612
1.6611
1.0864
1.9861
1.9858
1.9855
1.9853
2.3680
2.3676
2.3671
2.3667
2.3662
2.6300
2.6303
2.6297
2.6291
2.6286
39
40
2.0227
2.0211
2.4258
2.4233
0.6807
0.6771
0.6805
06804
41
42
43
44
45
1.3025
1.3020
1.3016
1.3011
1.3006
1.6829
1.6820
1.6811
1.6802
1.6794
2.0195
2.4208
24185
2.4163
24141
2.4121
2.7012
2.6081
2.6951
2.6923
2.6896
06
07
98
99
100
0.6771
0.6770
0.6770
0.6770
0.6770
1.2904
1.2903
1.2902
1.2902
1.2901
1.6600
1.6607
1.6606
1.6604
1.6602
2.3658
2.3654
2.3650
2.3646
2.3642
2.3607
2.6280
2.6275
2.6269
2.6264
2.6259
2.0181
0.6802
0.6801
0.6800
2.0167
2.0154
2.0141
1.0847
1.9845
1.9842
1.9840
0.6700
0.6797
46
1.3022
1.6787
2.0129
2.0117
2.0106
24102
2.6870
110
0.6767
1.2003
1.6588
1.9818
2.6213
47
48
Degrees of
freedom
1.2998
1.2904
1.6779
2.4083
2.6846
120
0.6765
1.2886
1.6577
1.9790
2.3578
2.6174
0.6796
1.6772
2.4066
2.6822
0.6745
1.2816
16449
19600
2.3263
2.5758
Degrees of
freedom
0.25
0.10
0.05
0.025
0.01
0.005
0.25
0.10
0.05
0.025
0.01
0.005
Lnnertail anmas
Pper-tail areas
Transcribed Image Text:Based on a sample of n= 15, the least-squares method was used to develop the prediction line Ý; = 6+ 2X;. In addition, Syx = 1.5, X= 3 and E (X; -X)² = 15.
i= 1
Complete parts (a) and (b) below.
Click here to view page 1 of the table of the critical values of t.
Click here to view page 2 of the table of the critical values of t.
a. Construct a 90% confidence interval estimate of the population mean response for X = 2.
|SHyx=2
(Round to two decimal places as needed.)
b. Construct a 90% prediction interval of an individual response for X = 2.
OsYx=2O
(Round to two decimal places as needed.)
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