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This Type of Chart Shows Relationship Within a Family

5 Data Visualization
5.6 Scatter plot

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In scientific discipline, the scatterplot is widely used to nowadays measurements of 2 or more than related variables. It is particularly useful when the values of the variables of the y-centrality are idea to exist dependent upon the values of the variable of the x-centrality.

In a scatterplot, the data points are plotted merely not joined. The resulting pattern indicates the type and strength of the relationship between two or more than variables. Chart five.6.1 is an example of a scatterplot. Car ownership increases equally the household income increases, showing that there is a positive human relationship between these two variables.

Chart 5.6.1 Car ownership in Anytown, by household income

Data table for Chart 5.six.1 
Data table for Chart 5.vi.1
Table summary
This table displays the results of Data table for Chart 5.vi.ane. The data is grouped by Income ($) (appearing every bit row headers), Percentage (%) (appearing as column headers).
Income ($) Percentage (%)
20,000 threescore
thirty,000 55
twoscore,000 75
50,000 85
60,000 82
seventy,000 97
80,000 87
90,000 90
100,000 95

The pattern of the information points on the scatterplot reveals the relationship betwixt the variables. Scatterplots can illustrate various patterns and relationships, such as:

  • a linear or non-linear relationship,
  • a positive (directly) or negative (inverse) relationship,
  • the concentration or spread of data points,
  • the presence of outliers.

Linear or not-linear relationship

When the data points form a straight line on the graph, the relationship between the variables is linear, as shown in Chart five.6.2, Role A. When the data points don't form a line or when they form a line that is not direct, like in Chart 5.6.2, Office B, the relationships betwixt variables is not linear.

Chart 5.6.2 Linear relation or non-linear relation

Data table for Chart 5.six.ii 
Information table for Chart 5.vi.ii
Table summary
This table displays the results of Information table for Chart v.6.2. The information is grouped by Variable X (appearing equally row headers), Variable Y1 (Part A) and Variable Y2 (Role B) (appearing as column headers).
Variable X Variable Y1 (Part A) Variable Y2 (Role B)
0 -3 -2
vii 4 -ii
13 nineteen 7
20 21 three
27 34 ten
33 24 -5
40 42 9
47 45 9
53 58 22
threescore 58 25
67 71 47
73 78 71
80 77 100
87 85 160
93 90 249
100 99 392

Positive or negative relationship

If the points cluster effectually a line that runs from the lower left to upper right of the graph area, then the relationship betwixt the 2 variables is said to be positive or direct (Nautical chart 5.6.three, Part A). If the points cluster around a line that runs from the upper left to the lower right of the graph area, and so the relationship is said to exist negative or inverse (Chart v.vi.3, Office B).

Chart 5.6.3 Positive relation or negative relation

Information tabular array for Nautical chart 5.half dozen.iii 
Data table for Chart 5.half-dozen.3
Table summary
This table displays the results of Data table for Chart 5.vi.three. The data is grouped by Variable X (actualization as row headers), Variable Y1 (Function A) and Variable Y2 (Part B) (appearing as column headers).
Variable X Variable Y1 (Role A) Variable Y2 (Office B)
0 -17 83
7 16 103
thirteen 20 93
20 fourteen 74
27 35 81
33 28 62
40 46 66
47 65 72
53 56 49
sixty 51 31
67 62 29
73 88 42
80 105 45
87 115 42
93 108 21
100 114 fourteen

Concentration or spread of data points

Data points tin be close together (Nautical chart v.6.4, Function A) or spread widely across the graph area (Chart v.6.4, Part B).

Chart 5.6.4 Concentrated data or widely spread out data

Data table for Nautical chart 5.6.four 
Data table for Chart 5.half dozen.4
Table summary
This table displays the results of Data table for Chart five.6.4. The information is grouped by Variable X1 (Office A) (appearing as row headers), Variable Y1 (Part A), Variable X2 (Part B) and Variable Y2 (Office B) (appearing as column headers).
Variable X1 (Part A) Variable Y1 (Part A) Variable X2 (Part B) Variable Y2 (Part B)
44 51 4 37
42 51 25 32
48 51 64 60
49 46 15 xviii
38 46 51 18
41 52 60 54
55 51 20 70
l 58 35 24
54 41 15 55
59 48 47 62
42 49 62 13
55 49 35 6
52 46 60 81
46 57 65 sixteen
55 52 70 65

Presence of outliers

Likewise portraying relationships betwixt the variables, a scatterplot can as well show whether or not at that place are any outliers in the data. Outliers are data points that are far from the other points in the information ready, like the two points in red in Chart 5.6.v.

Chart 5.6.5 Outliers

Data tabular array for Nautical chart 5.vi.5 
Data tabular array for Chart five.6.5
Table summary
This table displays the results of Information tabular array for Chart five.6.five. The information is grouped by Variable Ten (actualization equally row headers), Variable Y and Symbol (appearing as cavalcade headers).
Variable 10 Variable Y Symbol
0 -1 Black circle
7 1 Black circle
13 32 Black circumvolve
fifteen 83 Cerise triangle (potential outlier)
20 28 Blackness circumvolve
27 5 Black circle
28 95 Red triangle (potential outlier)
33 30 Black circle
xl 46 Black circle
47 29 Black circle
53 41 Black circumvolve
60 46 Black circle
67 29 Blackness circle
73 54 Blackness circle
80 52 Black circle
87 63 Black circle
93 59 Black circumvolve
100 82 Blackness circle

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Source: https://www150.statcan.gc.ca/n1/edu/power-pouvoir/ch9/scatter-nuages/5214827-eng.htm

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