The following data represent the hel that operate in real-state sector. 56 97 78 61 79 93 84 76 58 92 89 96 42 44 85 77 53 88 62 84

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 22PFA
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Question Three
The following data represent the net profits made by a sample of 25 companies
that operate in real-state sector.
56 97
78 61
79
93
84
76
58 92
89
96 42
44
85
77
53
88
62
84
62
82
75
95 89
1) Choose the best graphical presentation and justify your answer.
2) Based on your answer in (1), construct the selected graphical presentation
and comment on the results.
Based on your answer in (2), do you think the sector performance is satisfactory?
Justify your answer.
Transcribed Image Text:Question Three The following data represent the net profits made by a sample of 25 companies that operate in real-state sector. 56 97 78 61 79 93 84 76 58 92 89 96 42 44 85 77 53 88 62 84 62 82 75 95 89 1) Choose the best graphical presentation and justify your answer. 2) Based on your answer in (1), construct the selected graphical presentation and comment on the results. Based on your answer in (2), do you think the sector performance is satisfactory? Justify your answer.
Formula Sheet
E,(x; – X)²
s2
%3D
n - 1
CV =
X 100
E(x; - X)2
S =
n - 1
-
Ztab
Z =
First quartile location = 1/4 (n+1)
Third quartile location= 3/4 (n+1)
Value of quartile= start + ratio * distance
ηΣ xy - ΣxΣy
Bo = Ÿ – ß,X
r =
VIηΣ x2-(Σ x)?] [n Σ y? - (Σν)?1
ηΣ xy -ΣxΣy
η Σ x2 - (Σ x)2
Simple linear regression model
Yi = Bo + B1ס + Uj
Where i = 1,2,...n
Estimated simple linear regression model
P = Bo + B,X,
%3D
Critical Values |Ztabl
0.001
0.005
0.010
0.025
0.050
0.100
|Ztabl
3.090
2.576
2.326
1.960
1.645
1.282
|Page 4
Transcribed Image Text:Formula Sheet E,(x; – X)² s2 %3D n - 1 CV = X 100 E(x; - X)2 S = n - 1 - Ztab Z = First quartile location = 1/4 (n+1) Third quartile location= 3/4 (n+1) Value of quartile= start + ratio * distance ηΣ xy - ΣxΣy Bo = Ÿ – ß,X r = VIηΣ x2-(Σ x)?] [n Σ y? - (Σν)?1 ηΣ xy -ΣxΣy η Σ x2 - (Σ x)2 Simple linear regression model Yi = Bo + B1ס + Uj Where i = 1,2,...n Estimated simple linear regression model P = Bo + B,X, %3D Critical Values |Ztabl 0.001 0.005 0.010 0.025 0.050 0.100 |Ztabl 3.090 2.576 2.326 1.960 1.645 1.282 |Page 4
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