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
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
Section: Chapter Questions
Problem 1P
Related questions
Question
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe1c4a24d-ca9d-4fba-9634-176d3d25f932%2F0bb9b569-08c1-4dc9-8e55-eac23ddd7bad%2Fh54f53n_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe1c4a24d-ca9d-4fba-9634-176d3d25f932%2F0bb9b569-08c1-4dc9-8e55-eac23ddd7bad%2Fkzhrwqb_processed.jpeg&w=3840&q=75)
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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