A biscuit production manager wants to investigate the linear relationship between the number of items produced and the production cost. To pursue his/her objective, the manager recorded the data on the number of items produced per day and the production cost per day (in thousands of Malaysian Ringgit) as shown in Table 3 Table 3 Days 6 7 8| 9 10 11 1 2 3 4 5 12 Number of items, (x) 26 44 53 40 77 80 20 20 67 86 17 10 Production cost, (y) 21 60 69 47 50 98 39 55 85 104 37 20 a) Name the TWo (2) most popular correlation coefficients. OPearson OZ-table OT-table Ochi-square CSpearman b) Calculate the correlation coefficient, r. x2 y? X y ху 26 21 676 44 60 2640 1936 3600 53 69 3657 2809 4761 47 1880 2209 77 50 3850 5929 2500 80 98 7840 6400 9604 20 39 780 400 1521 20 55 1100 400 3025 67 5695 4489 7225 86 104 8944 7396 10816 17 37 629 289 1369 10 20 200 100 400 Ey² = Ex = Ey = Exy = Σχ **Answer should be up to 4 decimal place (dp) r = c) relationship between the number of items produced and the production cost. Based on the correlation coefficient, robtained, make a conclusion on the linear Interpretation: Yes / No, there isa Strong positive linear relationship between the number Strong Negative of items produced per day and the production cost per day
A biscuit production manager wants to investigate the linear relationship between the number of items produced and the production cost. To pursue his/her objective, the manager recorded the data on the number of items produced per day and the production cost per day (in thousands of Malaysian Ringgit) as shown in Table 3 Table 3 Days 6 7 8| 9 10 11 1 2 3 4 5 12 Number of items, (x) 26 44 53 40 77 80 20 20 67 86 17 10 Production cost, (y) 21 60 69 47 50 98 39 55 85 104 37 20 a) Name the TWo (2) most popular correlation coefficients. OPearson OZ-table OT-table Ochi-square CSpearman b) Calculate the correlation coefficient, r. x2 y? X y ху 26 21 676 44 60 2640 1936 3600 53 69 3657 2809 4761 47 1880 2209 77 50 3850 5929 2500 80 98 7840 6400 9604 20 39 780 400 1521 20 55 1100 400 3025 67 5695 4489 7225 86 104 8944 7396 10816 17 37 629 289 1369 10 20 200 100 400 Ey² = Ex = Ey = Exy = Σχ **Answer should be up to 4 decimal place (dp) r = c) relationship between the number of items produced and the production cost. Based on the correlation coefficient, robtained, make a conclusion on the linear Interpretation: Yes / No, there isa Strong positive linear relationship between the number Strong Negative of items produced per day and the production cost per day
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:A biscuit production manager wants to investigate the linear relationship between the
number of items produced and the production cost. To pursue his/her objective, the manager
recorded the data on the number of items produced per day and the production cost per day
(in thousands of Malaysian Ringgit) as shown in Table 3
Table 3
Days
1
2
4
6.
7 8
10 11
Number of items, (x) 26
67 86 17 10
44
53
40
77
80
20
20
Production cost, (y)
21
60
69
47
50 | 98
39
55
85
104
37
20
a)
Name the TWo (2) most popular correlation coefficients.
OPearson
Oz-table
OT-table
Ochi-square
Ospearman
b)
Calculate the correlation coefficient, r.
ху
x2
y2
26
21
676
44
60
2640
1936
3600
53
69
3657
2809
4761
47
1880
2209
77
50
3850
5929
2500
80
98
7840
6400
9604
20
39
780
400
1521
20
55
1100
400
3025
67
5695
4489
7225
86
104
8944
7396
10816
17
37
629
289
1369
10
20
200
100
400
E y² =
Σχ
ΣΥ-
Σχy-
Ex? =
||
||
**Answer should be up to 4 decimal place (dp)
r =
c)
Based on the correlation coefficient, robtained, make a conclusion on the linear
relationship between the number of items produced and the production cost.
Interpretation:
Strong positive
Yes / No, there istrong Negativë
linear relationship between the number
of items produced per day and the production cost per day
3.
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