a) Is there a significant correlation between working time and average weight? b) Develop the simple linear regression model with average value as dependent and time as independent variable. c) How good is the model in explaining the linear relation between average weight and working time?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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7.A wood product firm wants to determine whether there is a linear relation between working time of
the employees and the average weight of the production. Data collected for 20 week period is as
follows.
Working time
(hour)
Average weight
(tonne)
Average weight
(tonne)
Working time (hour)
100
20
122
10
85
22
85
30
108
19
50
28
116
15
114
14
92
20
104
21
63
26
111
20
79
25
110
16
101
21
100
19
88
24
82
23
71
29
85
25
a)
Is there a significant correlation between working time and average weight?
b) Develop the simple linear regression model with average value as dependent and time as independent
variable.
c)
How good is the model in explaining the linear relation between average weight and working time?
d)
Can we conclude that the slope of the model is not zero? Use a = 0.05
Transcribed Image Text:7.A wood product firm wants to determine whether there is a linear relation between working time of the employees and the average weight of the production. Data collected for 20 week period is as follows. Working time (hour) Average weight (tonne) Average weight (tonne) Working time (hour) 100 20 122 10 85 22 85 30 108 19 50 28 116 15 114 14 92 20 104 21 63 26 111 20 79 25 110 16 101 21 100 19 88 24 82 23 71 29 85 25 a) Is there a significant correlation between working time and average weight? b) Develop the simple linear regression model with average value as dependent and time as independent variable. c) How good is the model in explaining the linear relation between average weight and working time? d) Can we conclude that the slope of the model is not zero? Use a = 0.05
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