Calculate the value of r and test if there is a significant relationship between age of persons and weight at 2% level of significance. Age of Person, in years 11 12 13 14 15 16 17 18 19 20 (X) Weight, in kg (Y) 40 42 38 35 45 51 48 48 50 47

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Calculate the following questions and use the table for reference.Show the complete solution. 
Calculate the value of r and test if there is a significant relationship between
age of persons and weight at 2% level of significance.
Age of Person, in years 11 12 13 14 15 16 17 18 19 20
(X)
Weight, in kg
(Y)
40
42 38 35 45 51
48
48 50 47
Transcribed Image Text:Calculate the value of r and test if there is a significant relationship between age of persons and weight at 2% level of significance. Age of Person, in years 11 12 13 14 15 16 17 18 19 20 (X) Weight, in kg (Y) 40 42 38 35 45 51 48 48 50 47
Level of Significance of a One-Tailed or Directional Test
Ho: p 5 0 or H: p 20
a = 0.025
a = 0.1
a = 0.05
a = 0.01
a = 0.005
a = 0.0005
Level of Significance of a Two-Tailed or Nondirectional Test
Ho: p = 0
a = 0.02
df
a = 0.2
a = 0.1
a = 0.05
a = 0.01
a = 0.001
0.9511
0.9877
0.9969
0.9995
0.9999
0.9999
0.8000
0.9000
0.9500
0.9800
0.9900
0.9990
3
0.6870
0.8054
0.8783
0.9343
0.9587
0.9911
4
0.6084
0.7293
0.8114
0.8822
0.9172
0.9741
5
0.5509
0.6694
0.7545
0.8329
0.8745
0.9509
0.5067
0.6215
0.7067
0.7887
0.8343
0.9249
0.4716
0.5822
0.6664
0.7977
0.8983
0.8721
0.7498
8
0.4428
0.5494
0.6319
0.7155
0.7646
0.4187
0.5214
0.6021
0.6851
0.7348
0.8470
10
0.3981
0.4973
0.5760
0.6581
0.7079
0.8233
11
0.3802
0.4762
0.5529
0.6339
0.6835
0.8010
12
0.3646
0.4575
0.5324
0.6120
0.6614
0.7800
0.5140
0.4973
13
0.3507
0.4409
0.5923
0.6411
0.7604
14
0.3383
0.4259
0.5742
0.6226
0.7419
15
0.3271
0.4124
0.4821
0.5577
0.6055
0.7247
16
0.3170
0.4000
0.4683
0.5425
0.5897
0.7084
17
0.3077
0.3887
0.4555
0.5285
0.5751
0.6932
0.5614
0.5487
18
0.2992
0.3783
0.4438
0.5155
0.6788
19
0.2914
0.3687
0.4329
0.5034
0.6652
20
0.2841
0.3598
0.4227
0.4921
0.5368
0.6524
21
0.2774
0.3515
0.4132
0.4815
0.5256
0.6402
22
0.2711
0.3438
0.4044
0.4716
0.5151
0.6287
0.3365
0.3297
0.6178
0.6074
23
0.2653
0.3961
0.4622
0.5052
0.3882
0.3809
24
0.2598
0.4534
0.4958
25
0.2546
0.3233
0.4451
0.4869
0.5974
30
0.2327
0.2960
0.3494
0.4093
0.4487
0.5541
35
0.2156
0.2746
0.3246
0.3810
0.4182
0.5189
40
0.2018
0.2573
0.3044
0.3578
0.3932
0.4896
50
0.1806
0.2306
0.2732
0.3218
0.3542
0.4432
60
0.1650
0.2108
0.2500
0.2948
0.3248
0.4079
0.2737
0.2565
70
0.1528
0.1954
0.2319
0.3017
0.3798
80
0.1430
0.1829
0.2172
0.2830
0.3568
90
0.1348
0.1726
0.2050
0.2422
0.2673
0.3375
100
0.1279
0.1638
0.1946
0.2301
0.2540
0.3211
150
0.1045
0.1339
0.1593
0.1886
0.2084
0.2643
300
0.0740
0.0948
0.1129
0.1338
0.1480
0.1884
500
0.0573
0.0735
0.0875
0.1038
0.1149
0.1464
1000
0.0405
0.0520
0.0619
0.0735
0.0813
0.1038
Transcribed Image Text:Level of Significance of a One-Tailed or Directional Test Ho: p 5 0 or H: p 20 a = 0.025 a = 0.1 a = 0.05 a = 0.01 a = 0.005 a = 0.0005 Level of Significance of a Two-Tailed or Nondirectional Test Ho: p = 0 a = 0.02 df a = 0.2 a = 0.1 a = 0.05 a = 0.01 a = 0.001 0.9511 0.9877 0.9969 0.9995 0.9999 0.9999 0.8000 0.9000 0.9500 0.9800 0.9900 0.9990 3 0.6870 0.8054 0.8783 0.9343 0.9587 0.9911 4 0.6084 0.7293 0.8114 0.8822 0.9172 0.9741 5 0.5509 0.6694 0.7545 0.8329 0.8745 0.9509 0.5067 0.6215 0.7067 0.7887 0.8343 0.9249 0.4716 0.5822 0.6664 0.7977 0.8983 0.8721 0.7498 8 0.4428 0.5494 0.6319 0.7155 0.7646 0.4187 0.5214 0.6021 0.6851 0.7348 0.8470 10 0.3981 0.4973 0.5760 0.6581 0.7079 0.8233 11 0.3802 0.4762 0.5529 0.6339 0.6835 0.8010 12 0.3646 0.4575 0.5324 0.6120 0.6614 0.7800 0.5140 0.4973 13 0.3507 0.4409 0.5923 0.6411 0.7604 14 0.3383 0.4259 0.5742 0.6226 0.7419 15 0.3271 0.4124 0.4821 0.5577 0.6055 0.7247 16 0.3170 0.4000 0.4683 0.5425 0.5897 0.7084 17 0.3077 0.3887 0.4555 0.5285 0.5751 0.6932 0.5614 0.5487 18 0.2992 0.3783 0.4438 0.5155 0.6788 19 0.2914 0.3687 0.4329 0.5034 0.6652 20 0.2841 0.3598 0.4227 0.4921 0.5368 0.6524 21 0.2774 0.3515 0.4132 0.4815 0.5256 0.6402 22 0.2711 0.3438 0.4044 0.4716 0.5151 0.6287 0.3365 0.3297 0.6178 0.6074 23 0.2653 0.3961 0.4622 0.5052 0.3882 0.3809 24 0.2598 0.4534 0.4958 25 0.2546 0.3233 0.4451 0.4869 0.5974 30 0.2327 0.2960 0.3494 0.4093 0.4487 0.5541 35 0.2156 0.2746 0.3246 0.3810 0.4182 0.5189 40 0.2018 0.2573 0.3044 0.3578 0.3932 0.4896 50 0.1806 0.2306 0.2732 0.3218 0.3542 0.4432 60 0.1650 0.2108 0.2500 0.2948 0.3248 0.4079 0.2737 0.2565 70 0.1528 0.1954 0.2319 0.3017 0.3798 80 0.1430 0.1829 0.2172 0.2830 0.3568 90 0.1348 0.1726 0.2050 0.2422 0.2673 0.3375 100 0.1279 0.1638 0.1946 0.2301 0.2540 0.3211 150 0.1045 0.1339 0.1593 0.1886 0.2084 0.2643 300 0.0740 0.0948 0.1129 0.1338 0.1480 0.1884 500 0.0573 0.0735 0.0875 0.1038 0.1149 0.1464 1000 0.0405 0.0520 0.0619 0.0735 0.0813 0.1038
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