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Figure 3-32 The weight/height relationships in the findings of a study
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Note The scatter diagram or scatter plot visualizes XY coordinates as isolated points . Therefore, each point denotes the coordinates of two values . In other words, each data point in the XY (Scatter) chart does not require one individual value, but rather a pair of values in order for it to be displayed in the chart . Example 2
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This example is provided in the Scatter 2 worksheet and in Figure 3-33:
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Abstract goal You want to represent how frequently defined group values appear in a certain number of measurements . Concrete goal You want to show the distribution of specific grades as a curve in order to detect regularities or specific irregularities and to examine whether these concern an expected normal distribution .
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What you see here is not a line chart, even if this seems at first to be a likely assumption and a possible solution . The curve is drawn by an interpolated line (see the box) to which the data points are connected . The grades in the first table column and the number of times each grade was awarded in the second table column are the basis for the positions occupied by these points . The additional calculations in the table are used to calculate and display the average grade .
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Figure 3-33 Distribution of grades in a scatter chart
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In simple terms, this interpolation is achieved by calculating additional values between two known points . These values can, in turn, be used to show how the unknown (unmeasured points) could be positioned . In the example (similarly when drawing a straight line in an Excel line chart), it is assumed that there is a uniform, oscillating, harmonious distribution of the intermediate values; namely, the hidden values between known or measured data points . As a result, the entire line becomes smooth and does not run in a zigzag manner that would be the result of straight connections between known points . There are several different interpolation procedures as well as some associated mathematical problems and application difficulties . However, these do not play any role in our context . Example 3
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This example is provided in the Scatter 3 worksheet and in Figure 3-34:
Abstract goal You want to represent how two measurement values that have scales of equal length and equal importance relate to each other . Concrete goal You want to visualize the findings of a study where quality and quantity are of equal importance and therefore have been normalized in a two-axis scale ranging from 0 to 100 . It would therefore make sense to achieve a maximum of 100 quality points and 100 quantity points for each measurement .
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Figure 3-34 Each position in the plot area can be affected by a QQ point .
In the example shown, there is one very noticeable QQ point . Because this point is a coordinate of quality and quantity, it can occupy any position in the scales square . To reinforce its effect, a line is drawn to connect this QQ point to the scales zero point . As a result, it becomes a pointer and is assigned a meaningful length . The further the point moves away in both directions from the zero point, the closer it gets to the green area of the color segment being evaluated . Therefore, high quality or quantity alone is not enough to achieve a good two-dimensional high-ranking result . As an aside, this addresses a problem associated with many one-dimensional studies that parade themselves as benchmarking or something similar . Those making such studies often forget that many aspects of our everyday lives, even those that you can measure and scale, are multifaceted and each attribute is worthy of equal ranking and simultaneous consideration .
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