14. Scatter Diagram

The scatter diagram is a graph that allows you to visualize a possible association between quantitative variables.

Example 1:

Over a period of 50 days, the ambient temperature and water consumption of a residence in the city of São Paulo were recorded. The data are shown in the table below

Days Temperature Water usage
1 21 43
2 26 47
3 28 45
4 27 43
5 32 58
6 22 42
7 21 39
8 25 44
9 27 47
10 23 40
11 25 41
12 27 48
13 25 39
14 25 42
15 23 41
16 26 49
17 21 43
18 25 51
19 23 45
20 23 41
21 29 57
22 26 52
23 23 41
24 23 39
25 23 35
26 27 48
27 26 45
28 30 54
29 28 53
30 20 36
31 24 46
32 21 42
33 20 40
34 25 39
35 30 57
36 23 46
37 26 49
38 21 40
39 31 60
40 25 52
41 23 53
42 18 35
43 22 38
44 21 41
45 32 55
46 25 50
47 22 43
48 29 51
49 30 56
50 28 49

We will upload the data to the system.

We will do o the scatter plot..

Then click Calculate to get the results. You can also generate the analyses and download them in Word format.

The results are:

The graph above shows that there is a linear relationship between temperature and water consumption. As the temperature rises, so does consumption also increases.

Exemplo 2:

A call center company aims to measure the performance of its agents by their length of experience in the company. Average call times (seconds) were measured times (seconds) were measured over the course of a month in the morning and afternoon. the attendant’s length of experience in days was reported.

Period Time of Experience Time
Afternoon 99 180.33
Afternoon 64 174.52
Afternoon 183 133.83
Afternoon 99 123.28
Afternoon 99 202.85
Afternoon 102 170.24
Afternoon 156 178.8
Afternoon 99 156.55
Afternoon 99 167.3
Afternoon 99 213.43
Afternoon 64 181.23
Afternoon 99 138.9
Afternoon 109 179.89
Afternoon 99 180.24
Afternoon 99 149.52
Afternoon 99 213.11
Afternoon 64 230.67
Afternoon 99 207.13
Afternoon 109 215.96
Afternoon 99 130.14
Afternoon 99 219.49
Afternoon 99 146.5
Afternoon 95 169.59
Afternoon 99 166.14
Afternoon 99 204.5
Afternoon 109 165.67
Afternoon 102 206.31
Afternoon 99 147.16
Afternoon 156 193.19
Morning 99 143.63
Morning 99 164.09
Morning 298 137.1
Morning 64 174.98
Morning 99 174.92
Morning 183 150.91
Morning 225 136.63
Morning 129 144.59
Morning 225 147.87
Morning 193 161.81
Morning 99 165.23
Morning 283 176.1
Morning 99 142.56
Morning 99 110.72
Morning 210 153.64
Morning 234 155.14
Morning 283 158.07
Morning 225 161.76
Morning 193 168.88
Morning 193 158.78
Morning 99 158.14
Morning 99 195.69
Morning 99 144.49
Morning 156 133.2
Morning 183 130.98
Morning 210 160.64
Morning 225 133.19
Morning 99 200.35
Morning 99 116.76
Morning 203 125.1

We will upload the data to the system.

We will do o the scatter plot..

Then click Calculate to get the results. You can also generate the analyses and download them in Word format.

The results are:

The graph above shows a steeper learning curve for in the afternoon, i.e. for the afternoon, the more time the attendants have of experience, the shorter the average service time.