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
icon
Related questions
icon
Concept explainers
Question

Given are five observations for two variables,  X and Y. Use attached table below.

 

Round your answers to two decimal places.

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: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
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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 6 images

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman