Given are five observations for two variables, I and y. Use Table 2 of Appendix B. 1 2 3 4 8 11 14 Round your answers to two decimal places. a. Using the following equation: (z*-2) Sz. = s Estimate the standard deviation of ŷ * when z = 4. 1.2771 b. Using the following expression: ŷ* ±ta/285• Develop a 95% confidence interval for the expected value of y when z = 4. 4.337 I to 12.463 c. Using the following equation: (z* -z)? Spred = 8 1+ Estimate the standard deviation of an individual value of y when z = 4. 2.658 in
Given are five observations for two variables, I and y. Use Table 2 of Appendix B. 1 2 3 4 8 11 14 Round your answers to two decimal places. a. Using the following equation: (z*-2) Sz. = s Estimate the standard deviation of ŷ * when z = 4. 1.2771 b. Using the following expression: ŷ* ±ta/285• Develop a 95% confidence interval for the expected value of y when z = 4. 4.337 I to 12.463 c. Using the following equation: (z* -z)? Spred = 8 1+ Estimate the standard deviation of an individual value of y when z = 4. 2.658 in
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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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
Given are five observations for two variables, X and Y. Use attached table below.
Round your answers to two decimal places.
Transcribed Image Text:Given are five observations for two variables, a and y. Use Table 2 of Appendix B.
1
2
3
4
4
8
11
14
Round your answers to two decimal places.
a. Using the following equation:
(x* -7)?
Sg. = s
Estimate the standard deviation of ŷ * when a = 4.
1.2771
b. Using the following expression:
ŷ * ±ta/285•
Develop a 95% confidence interval for the expected value of y when x = 4.
4.337
to 12.463
c. Using the following equation:
(x* -7)?
Spred = s
Σ-
Estimate the standard deviation of an individual value of y when a = 4.
2.658
d. Using the following expression:
ŷ * ±ta/2®pred
Develop a 95% prediction interval for y when a = 4.
-0.058
to 16.858
Transcribed Image Text:TABLE 2 t DISTRIBUTION
Area or
probability Entries in the table give t values for an
area or probability in the upper tail of the t
distribution, For example, with 10 degrees
of freedom
fom and a .05 area in the upper tail,
tor = 1812
Area in Upper Tail
Degrees
of Freedom
.20
10
05
.025
.01
.005
1.376
6.314
2.706
31.821
63.656
9 925
3.078
12.700
4.303
1.061
1.886
2.920
6.965
978
1.638
2.353
3.182
4.541
5.841
.941
1.533
2.132
2.776
3.747
4.604
920
1.476
2.015
2.571
3.365
4 032
906
1.440
1.943
2.447
3.143
3.707
.896
1.415
1.895
2.365
2.998
3.499
3.355
3.250
.889
1.397
1.860
2.306
2.896
.883
1.383
1.833
2.262
2.821
879
1 372
1,812
3.169
2228
2.764
1.796
1782
3.106
3.055
.876
1.363
1 356
2.201
2.718
873
2.179
2.681
1.771
2.650
3.012
2 077
870
1.350
2.160
.868
1.345
1 761
2 145
2.624
866
1.753
2.947
1241
2131
2.602
1.746
1.740
2.921
2.898
.865
1.337
2.120
2.583
.863
1.333
2.110
2.567
862
1.330
1.734
2.101
2.552
2.878
861
1.328
1.729
2.093
2.539
2.861
TABLE 2 t DISTRIBUTION (Continued)
Area in Upper Tail
Degrees
of Freedom
20
.10
.05
025
.01
005
1.690
1.688
852
1.306
1 306
1 305
2.030
2.438
2.724
852
2.028
2.434
2.719
1.687
2.026
2.715
2.712
851
2.431
851
1.304
1.686
2.024
2.429
.851
1.304
1.685
2.023
2.426
2.708
.851
1.303
1.684
2.021
2.423
2.704
.850
850
1.303
1.683
2.020
2.421
2.701
1.302
1.682
2.018
2.418
2.698
2 605
.850
1.302
1.681
2.017
2.416
.850
1.301
1.680
2.015
2.414
2.692
2.690
2.687
2.685
850
1.301
1.679
2.014
2.412
850
1.300
1.679
2.013
2.410
849
1.300
1.678
2.012
2.408
2.682
2.680
849
1.299
1.677
2.011
2.407
.849
1.299
1.677
2.010
2.405
849
1.299
1.676
2.009
2.403
2.678
2.676
2.674
2.672
849
1.298
1.675
2.008
2.402
849
1.298
1.675
2.007
2.400
848
1.298
1.674
2.006
2.399
.848
1.297
1 297
1.674
2.005
2 397
2670
1 207
2.668
848
1.673
2.004
2.396
1 297
1 297
1 296
.848
1.673
2.003
2.395
2.667
1.672
2.665
2.663
848
2.002
2.394
848
1.672
2.002
2.392
.848
1.296
1.671
2.001
2.391
2.662
1 296
1 296
2.660
2.659
848
1.671
2.000
2.390
848
1.670
2.000
2.389
847
1.295
1.670
1.999
2.388
2.657
1.998
2.656
2.655
847
1.295
1.669
2.387
.847
1.295
1.669
1.998
2.386
847
1.295
1.669
1.997
2.385
2.654
.847
1.295
1.668
1.997
2.384
2.652
847
1.294
1.668
1.996
2.383
2.651
.847
1.294
1.668
1.995
2.382
2.650
847
1.294
1.667
1.995
2.382
2.649
TABLE 2 I DISTRIBUTION (Continued)
Area in Upper Tail
Degrees
of Freedom
.20
10
.05
025
.01
,005
846
1.292
1.664
1.990
2.374
2.639
.846
1.292
1.664
1.990
2.373
2.638
846
1.292
1664
1.989
2.373
2.637
846
1.292
2,636
1663
1.005
1.663
1.989
2.372
.846
1.292
1.989
2.372
2.636
846
1 292
1.663
1 988
2.371
2,635
2.634
2.634
2.633
846
1.291
1.663
1.988
2.370
846
1.663
1.988
2.370
846
1.662
1.987
2.369
.846
1.662
1.987
2.369
2.632
846
1.662
1.987
2.368
2.632
846
1.662
1.986
2.368
2.631
846
1.662
1.986
2.368
2.630
846
1.661
1.986
2.367
2.630
.845
1.661
1.986
2.367
2.629
845
1.291
1.661
1.985
2.366
2.629
.845
1.290
1.661
1.985
2.366
2.628
845
2.627
1.290
1 290
1 290
1.661
1.985
1 984.
2.365
2.627
2.626
.845
1.661
2.365
.845
1.660
1.984
2.364
.845
1.290
1.660
1.984
2.364
2.626
842
1.282
1.645
1.960
2326
2.576
3%印的的 导子44手 4导导等令 另云纪3科 的%沉的的的d的d 的的何83
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