The table shows the data gathered on the age and time in hours spent by the 30 respondents on a gadget in a day. Respondent Age (x) Time spent on a gadget in a day (hrs) (y) Xy y? 1 34 15 68 90 1156 225 4 36 6. 119 63 126 3 17 21 7 3 289 441 324 49 9 4 18 11 7 49 16 6 4 44 121 7 16 30 64 100 784 676 256 4 10 3 28 26 16 196 26 80 49 1 25 10 1 5 11 12 13 1 1 9. 33 81 1089 1. 1 33 14 15 33 38 66 76 87 42 48 1089 1444 4 4 16 17 29 14 12 841 196 144 3 9 16 18 4 19 7 15 1 7 49 225 484 576 1681 20 1. 16 4 60 110 21 22 22 24 5 3 25 72 23 24 41 40 1 1 41 40 1 1600 1225 25 26 27 35 11 16 70 22 64 160 126 121 256 1024 4 4 16 4 28 29 32 18 4 49 36 7 324 30 14 6. 84 196 ТОTAL: Σx 647 Σy101 > xy = 2.075 Ex² =17,081 2y = 461 %3D Null and Alternative Hypothesis Ho r=0; There is no significant relationship between the age and the time spent a person using his or her gadget. I. Ha: r#0; There is a significant relationship between the age and the time spent a person using his or her gadget.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Solve for the test statistics, plsss show complete solution
 

Critical Values
Df = n-2 = 30-2 = 28
a = 0.05/5%
Two-tailed
Critical value r/a = 0.3610

The table shows the data gathered on the age and time in hours spent by the 30 respondents on
a gadget in a day.
Respondent
Age (x)
Time spent on a
gadget in a day
(hrs) (y)
2
Xy
y?
1156
225
34
68
4
2
15
6
90
36
3
17
7
119
289
49
4
21
3
63
441
9
5
18
7
126
324
49
11
4
44
121
16
7
8.
2
16
64
4
10
3
30
100
28
196
784
49
10
26
1
26
676
1
11
16
5
80
256
25
12
1
81
1
1089
1089
1444
13
33
1
33
1
14
33
66
4
15
38
2
76
4
16
29
3
87
841
9
17
14
42
196
9
18
12
4
48
144
16
19
7
1
7
49
1
20
15
4
60
225
16
21
22
110
484
25
22
24
3
72
576
1681
1600
1225
23
41
1
41
1
24
40
1
40
1
25
35
2.
70
4
26
11
2
22
121
4
27
16
4
64
256
16
1024
324
28
32
2
160
4
29
18
7
126
49
30
14
84
196
36
Σ
TOTAL:
Σx 647
ΣΥ-101
ху 3D2,075
Ex? =17,081
>y? = 461
Null and Alternative Hypothesis
H. :r-0; There is no significant relationship between the age and the time spent a person
using his or her gadget.
I.
Ha: r#0; There is a significant relationship between the age and the time spent a person using
his or her gadget.
Transcribed Image Text:The table shows the data gathered on the age and time in hours spent by the 30 respondents on a gadget in a day. Respondent Age (x) Time spent on a gadget in a day (hrs) (y) 2 Xy y? 1156 225 34 68 4 2 15 6 90 36 3 17 7 119 289 49 4 21 3 63 441 9 5 18 7 126 324 49 11 4 44 121 16 7 8. 2 16 64 4 10 3 30 100 28 196 784 49 10 26 1 26 676 1 11 16 5 80 256 25 12 1 81 1 1089 1089 1444 13 33 1 33 1 14 33 66 4 15 38 2 76 4 16 29 3 87 841 9 17 14 42 196 9 18 12 4 48 144 16 19 7 1 7 49 1 20 15 4 60 225 16 21 22 110 484 25 22 24 3 72 576 1681 1600 1225 23 41 1 41 1 24 40 1 40 1 25 35 2. 70 4 26 11 2 22 121 4 27 16 4 64 256 16 1024 324 28 32 2 160 4 29 18 7 126 49 30 14 84 196 36 Σ TOTAL: Σx 647 ΣΥ-101 ху 3D2,075 Ex? =17,081 >y? = 461 Null and Alternative Hypothesis H. :r-0; There is no significant relationship between the age and the time spent a person using his or her gadget. I. Ha: r#0; There is a significant relationship between the age and the time spent a person using his or her gadget.
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