e regression model. Table Q3: Number of items and produc Number of items (000) Production 21 40

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23
An accountant monitors the number of items produced per month by a company, together
with the total production cost (RM). Table Q3 shows the data which is used to develop a
simple regression model.
Table Q3: Number of items and production cost
Number of items (000")
Production costs (000')
21
40
39
58
67
45
48
24
72
75
89
96
15
37
35
53
62
81
83
102
12
56
35
75
a)
Sketch a scatter plot for the data.
b)
(i)
Find the estimated regression line by using the least square method.
(ii)
Interpret the result in Q3(b)(i).
(c)
Predict the production cost when the number of item is 74000.
(d)
(i)
Calculate the coefficient of correlation, r and coefficient of determination,
(ii)
Interpret the results in Q3(d)(i).
Transcribed Image Text:23 An accountant monitors the number of items produced per month by a company, together with the total production cost (RM). Table Q3 shows the data which is used to develop a simple regression model. Table Q3: Number of items and production cost Number of items (000") Production costs (000') 21 40 39 58 67 45 48 24 72 75 89 96 15 37 35 53 62 81 83 102 12 56 35 75 a) Sketch a scatter plot for the data. b) (i) Find the estimated regression line by using the least square method. (ii) Interpret the result in Q3(b)(i). (c) Predict the production cost when the number of item is 74000. (d) (i) Calculate the coefficient of correlation, r and coefficient of determination, (ii) Interpret the results in Q3(d)(i).
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