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
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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
CRITICAL VALUES of Z (tabulated values)
Level of
One-tailed Test
Two-tailed Test
Significance a
0.10
±1.28
±1.645
+1.96
0.05
+1.645
0.01
+2.33
+2.58
STUDENT'S T-DISTRIBUTION TABLE (tabulated values)
Level of significance for one-tailed test
df
0.10
0.05
0.025
0.01
0.005
.0005
Level of significance for two-tailed test
df
0.20
0.10
0.05
0.02
0.01
0.001
1
3.0780
6.3140
12.7060
31.8210
63.6570
636.6190
2
1.8860
2.9200
1.3030
6.9650
9.9250
31.5980
3
1.6380
2.3530
3.1820
4.5410
5.8410
12.9410
4
1.5330
2.1320
2.7760
3.7470
4.6040
8.6100
1.4760
2.0150
2.5710
3.3650
4.0320
6.8590
6
1.4400
1.9430
2.4470
3.1430
3.7070
5.9590
7
1.4150
1.8950
2.3650
2.9980
3.4990
5.4050
8
1.3970
1.8600
2.3060
2.8960
3.3550
5.0410
9
1.3830
1.8330
2.2620
2.8210
3.2500
4.7810
10
1.3720
1.8120
2.2280
2.7640
3.1690
4.5870
11
1.3630
1.7960
2.2010
2.7180
3.1060
4.4370
12
1.3560
1.7820
2.1790
2.6810
3.0550
4.3180
13
1.3500
1.7710
2.1600
2.6500
3.0120
4.2210
14
1.3450
1.7610
2.1450
2.6240
2.9770
4.1400
15
1.3410
1.7530
2.1310
2.6020
2.9470
4.0730
16
1.3370
1.7460
2.1200
2.5830
2.9210
4.0150
17
1.3330
1.7400
2.1100
2.5670
2.8980
3.9650
18
1.3300
1.7340
2.1010
2.5520
2.8780
3.9220
19
1.3260
1.7290
2.0930
2.5390
2.8610
3.8830
20
1.3250
1.7250
2.0860
2.5280
2.8450
3.8500
21
1.3230
1.7210
2.0800
2.5180
2.8310
3.6190
22
1.3210
1.7170
2.0740
2.5080
2.8190
3.7920
23
1.3190
1.7140
2.0690
2.5000
2.8070
3.7670
24
1.3180
1.7110
2.0640
2.4920
2.7970
3.7450
25
1.3160
1.7080
2.0600
2.4850
2.7870
3.7250
26
1.3150
1.7060
2.0560
2.4790
2.7790
3.7070
27
1.3140
1.7030
2.0520
2.4730
2.7710
3.6900
28
1.3130
1.7010
2.0480
2.4670
2.7630
3.6740
29
1.3110
1.6990
2.0450
2.4620
2.7560
3.6590
30
1.3100
1.6970
2.0420
2.4570
2.7500
3.6460
40
1.3030
1.6840
2.0210
2.4240
2.7040
3.5510
60
1.2960
1.6710
2.0000
2.3900
2.6600
3.4600
120
1.2890
1.6580
1.9800
2.3580
2.6170
3.3730
1.2820
1.6450
1.9600
2.3260
2.5760
3.2910
Transcribed Image Text:CRITICAL VALUES of Z (tabulated values) Level of One-tailed Test Two-tailed Test Significance a 0.10 ±1.28 ±1.645 +1.96 0.05 +1.645 0.01 +2.33 +2.58 STUDENT'S T-DISTRIBUTION TABLE (tabulated values) Level of significance for one-tailed test df 0.10 0.05 0.025 0.01 0.005 .0005 Level of significance for two-tailed test df 0.20 0.10 0.05 0.02 0.01 0.001 1 3.0780 6.3140 12.7060 31.8210 63.6570 636.6190 2 1.8860 2.9200 1.3030 6.9650 9.9250 31.5980 3 1.6380 2.3530 3.1820 4.5410 5.8410 12.9410 4 1.5330 2.1320 2.7760 3.7470 4.6040 8.6100 1.4760 2.0150 2.5710 3.3650 4.0320 6.8590 6 1.4400 1.9430 2.4470 3.1430 3.7070 5.9590 7 1.4150 1.8950 2.3650 2.9980 3.4990 5.4050 8 1.3970 1.8600 2.3060 2.8960 3.3550 5.0410 9 1.3830 1.8330 2.2620 2.8210 3.2500 4.7810 10 1.3720 1.8120 2.2280 2.7640 3.1690 4.5870 11 1.3630 1.7960 2.2010 2.7180 3.1060 4.4370 12 1.3560 1.7820 2.1790 2.6810 3.0550 4.3180 13 1.3500 1.7710 2.1600 2.6500 3.0120 4.2210 14 1.3450 1.7610 2.1450 2.6240 2.9770 4.1400 15 1.3410 1.7530 2.1310 2.6020 2.9470 4.0730 16 1.3370 1.7460 2.1200 2.5830 2.9210 4.0150 17 1.3330 1.7400 2.1100 2.5670 2.8980 3.9650 18 1.3300 1.7340 2.1010 2.5520 2.8780 3.9220 19 1.3260 1.7290 2.0930 2.5390 2.8610 3.8830 20 1.3250 1.7250 2.0860 2.5280 2.8450 3.8500 21 1.3230 1.7210 2.0800 2.5180 2.8310 3.6190 22 1.3210 1.7170 2.0740 2.5080 2.8190 3.7920 23 1.3190 1.7140 2.0690 2.5000 2.8070 3.7670 24 1.3180 1.7110 2.0640 2.4920 2.7970 3.7450 25 1.3160 1.7080 2.0600 2.4850 2.7870 3.7250 26 1.3150 1.7060 2.0560 2.4790 2.7790 3.7070 27 1.3140 1.7030 2.0520 2.4730 2.7710 3.6900 28 1.3130 1.7010 2.0480 2.4670 2.7630 3.6740 29 1.3110 1.6990 2.0450 2.4620 2.7560 3.6590 30 1.3100 1.6970 2.0420 2.4570 2.7500 3.6460 40 1.3030 1.6840 2.0210 2.4240 2.7040 3.5510 60 1.2960 1.6710 2.0000 2.3900 2.6600 3.4600 120 1.2890 1.6580 1.9800 2.3580 2.6170 3.3730 1.2820 1.6450 1.9600 2.3260 2.5760 3.2910
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