ACTIVITY Construct the scatter plot for the following data. Describe the relationship between the variables in terms of form, direction and strength of associations. 1. Number of Siblings (X) and Average Weekly Allowance at School (Y) X 1 4 5 3 6 7 4 2 8 3 Y 120 70 65 100 65 55 75 95 50 90 2. Height (X) and Weight (Y) X (cm) 160 169 161 Y (kg) 62 79 60 163 65 170 82 172 80 165 58 168 78 167 83

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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 23PFA
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Please have the answers on the same format as the solution given in the examples. Thank you. 

EXAMPLES
Construct the scatter plot for the following data. Describe the relationship between the variables in terms of form,
direction and strength of associations.
Example 1
Example 2
First Quarter Average Grades (X) vs. Second Quarter
Average Grades (Y) of Grade 11 Learners
Number of Absences (X) and Scores in Mathematics
Exam (Y) of Grade 11 Learners
X 5 4 4 3 1 0
34 37 36 44 | 47 | 48
93
X 90 89 88 92 91 94 91 89
Y 93 92 94 95 94 97 95 93
2 6
42 31
96
Y
Solution.
Solution.
Plot the points in the Cartesian plane.
Plot the points in the Cartesian plane.
98
50
97
48.
46
96
44
42
95
40
94
38
93
36
34
32
92
91
30
87 88 89
90
91 92
93 94 95
Based on the scatter plot, there is a strong positive linear
relationship between First Quarter Average Grades and
Second Quarter Average Grades of Grade 11 learners.
Based on the scatter plot, there is a strong negative linear
relationship between the Number of Absences and the
Exam Scores in Mathematics of Grade 11 learners.
ACTIVITY
m
Transcribed Image Text:EXAMPLES Construct the scatter plot for the following data. Describe the relationship between the variables in terms of form, direction and strength of associations. Example 1 Example 2 First Quarter Average Grades (X) vs. Second Quarter Average Grades (Y) of Grade 11 Learners Number of Absences (X) and Scores in Mathematics Exam (Y) of Grade 11 Learners X 5 4 4 3 1 0 34 37 36 44 | 47 | 48 93 X 90 89 88 92 91 94 91 89 Y 93 92 94 95 94 97 95 93 2 6 42 31 96 Y Solution. Solution. Plot the points in the Cartesian plane. Plot the points in the Cartesian plane. 98 50 97 48. 46 96 44 42 95 40 94 38 93 36 34 32 92 91 30 87 88 89 90 91 92 93 94 95 Based on the scatter plot, there is a strong positive linear relationship between First Quarter Average Grades and Second Quarter Average Grades of Grade 11 learners. Based on the scatter plot, there is a strong negative linear relationship between the Number of Absences and the Exam Scores in Mathematics of Grade 11 learners. ACTIVITY m
ACTIVITY
Construct the scatter plot for the following data. Describe the relationship between the variables in terms of form,
direction and strength of associations.
1. Number of Siblings (X) and Average Weekly Allowance at School (Y)
X
1
4
5
3
6
7
4
2
8
3
Y
120
70
65
100
65
55
75
95
50
90
2. Height (X) and Weight (Y)
X (cm)
160
165
161
Y (kg)
62
58
60
169
79
163
65
170
82
172
80
168
78
167
83
Transcribed Image Text:ACTIVITY Construct the scatter plot for the following data. Describe the relationship between the variables in terms of form, direction and strength of associations. 1. Number of Siblings (X) and Average Weekly Allowance at School (Y) X 1 4 5 3 6 7 4 2 8 3 Y 120 70 65 100 65 55 75 95 50 90 2. Height (X) and Weight (Y) X (cm) 160 165 161 Y (kg) 62 58 60 169 79 163 65 170 82 172 80 168 78 167 83
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