MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
Calculate the 90% confidence interval of β3. Interpret the answer.
^. ^. ^. ^
Pr[β3−se(β3)⋅t ≤ β3 ≤ β3 +se (β3)⋅t]=1−α
Transcribed Image Text:A random sample of second-year UWC students was interviewed to obtain information on their
daily study hours, daily yawning frequency as well as their year mark in Micro II. When the
regression is run using the software E-Views, the output is as follows:
|MARKS = B₁+ B₂ STUDY + B, YAWN
Dependent Variable: MARKS
Included observations: 63
Variable
C
STUDY
YAWN
R-squared: 0.6979
MARKS:
STUDY:
YAWN:
Parameter
29.4455
3.4829
-1.9966
Micro II year mark
Daily study hours
Daily yawning frequency
Std. Error
11.3478
0.7557
0.3756
Transcribed Image Text:Degrees
of
0.25
freedom 0.50
1.000
0.816
0.765
0.741
0.727
0.718
0.711
1
2
3
4
5
6
7
KUHESHSHESPANHA482
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
25
26
27
29
30
40
60
120
00
0.706
0.703
0.700
0.697
0.695
0.694
0.692
0.691
0.690
0.689
0.688
0.688
0.687
0.686
0.686
0.685
0.685
0.684
0.684
0.684
0.683
0.683
0.683
0.681
0.679
0.677
0.674
Percentage points of the t-distribution
0.10
0.20
3.078
1.886
1.638
1.533
1.476
1.440
1.415
1.397
1.383
1.372
1.363
1.356
1.350
1.345
1.341
1.337
1.333
1.330
1.328
1.325
1.323
1.321
1.319
1.318
1.316
1.315
1.314
1.313
1.311
1.310
1.303
1.296
1.289
1.282
0.05
0.10
6.314
2.920
2.353
2.132
2.015
1.943
1.895
1.860
1.833
1.812
1.796
1.782
1.771
1.761
1.753
1.746
1.740
1.734
1.729
1.725
1.721
1.717
1.714
1.711
1.708
1.706
1.703
1.701
1.699
1.697
1.684
1.671
1.658
1.645
t(p.df)
Alpha
0.025
0.01
0.050
0.02
12.706 31.821
4.303
6.965
3.182
4.541
2.776
3.747
2.571
3.365
2.447
3.143
2.365
2.998
2.896
2.821
2.764
2.718
2.681
2.650
2.624
2.602
2.583
2.567
2.552
2.539
2.528
2.518
2.508
2.306
2.262
2.228
2.201
2.179
2.160
2.145
2.131
2.120
2.110
2.101
2.093
2.086
2.080
2.074
2.069
2.064
2.060
2.056
2.052
2.048
2.045
2.042
2.021
2.000
1.980
1.960
2.500
2.492
2.485
2.479
2.473
2.467
2.462
2.457
2.423
2.390
2.358
2.326
0.005
0.010
63.657
9.925
5.841
4.604
4.032
3.707
3.499
3.355
3.250
3.169
3.106
3.055
3.012
2.977
2.947
2.921
2.898
2.878
2.861
2.845
2.831
2.819
2.807
2.797
2.787
2.779
2.771
2.763
2.756
2.750
2.704
2.660
2.617
2.576
0.001
0.002
318.310
22.327
1.214
7.173
5.893
5.208
4.785
4.501
4.297
4.144
4.025
3.930
3.852
3.787
3.733
3.686
3.646
3.610
3.579
3.552
3.527
3.505
3.485
3.467
3.450
3.435
3.421
3.408
3.396
3.385
3.307
3.232
3.160
3.090
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