A random sample of second-year UWC students was interviewed to obtain information on th daily study hours, daily yawning frequency as well as their year mark in Micro II. When t regression is run using the software E-Views, the output is as follows: A A 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

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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

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: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
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
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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