Line graphs examples

Use words to report a linear relationship between variables rather than graphing a single straight line, for example, A linear relationship was observed between A and B (r=0.97). ... 

Figure 16.1 (Before correction) Examples of common formatting errors in line graphs (Figure 1) and bar graphs (Figure 2). (Note The authors used red and blue symbols in Figure 1 blue, red, and purple bars in Figure 2 and gray backgrounds.)...

Generally, the energy of the olefin n -level is more sensitive to substituent effects than the 7r-level (see Table IV for example). Therefore, often a simple plot of the equilibrium constant for the metal-olefin complex vs the energy of the lowest unoccupied olefin molecular orbitai gives a reasonable straight-line graph. Such a plot reported by Tolman (220) for the equilibrium... 

Namely A is the line graph [30] of T. Other less transparent relations can be envisaged for other pairs of the set. For example let 6 be an operator which maps the edges of T into hexagons of B so that two incident edges in T will always correspond to two nonresonant hexagons in B. Formally... 

Line graphs show data points connected by lines different series are given different line markings (for example, dashed or dotted) or different tick marks. Line graphs are useful when the data points are more important than the transitions between them. They best show ... 

It is possible to superimpose several line graphs, for example if X is a matrix with five columns, then the command plot (X) will superimpose five graphs in one picture. 

Figure 15-2. (A) Example of a poorly rendered line graph, with lines that are too thin, a type font that is too ornate, and type and symbols that are sized disproportionally to the figure. (B) Example of the same line graph properly rendered.

Figure 1-1 Examples of line graph and bar graph format for presentation of experimental data.

We diould add, that while we confine our discussion to the four types of graphs caterpillars, line graphs, selected benzenoids, and qualified boards, the analysis holds generally for any other objects for which analogus "adjacency" relations can be defined For example consider in Fig 10 the caterpillar T and the associated "walk around" code of... 

The points are called the vertices, and the lines, the edges of a graph. Examples of graphs are given in Fig. 6. 

The mixture of molecular ion and fragments is accelerated to specific velocities using an electric field and then separated on the basis of their different masses by deflection in a magnetic or electrostatic field. Only the cations are detected and a mass spectrum is a plot of mass-to-charge ratio (w/z) on the x-axis against the number of ions (relative abundance, RA, %) on the y-axis. A schematic of the components of a mass spectrometer is shown in Fig. 30.2 and an example of a line-graph-type mass spectrum in Fig. 30.3. 

A vector of molecular topological descriptors can be calculated for the whole iterated line graph sequence. For example, a line graph Randic connectivity index was calculated as ... 

Example Draw a line graph of the data below from a cyclist in a long-distance race. 

One use of a line graph is to predict values of the independent or dependent variables. For example, from Figure 11 you can predict the solubility of KBr at a temperature of 65°C by the following method ... 

To give a simple example, let us take Q equal to the one-dimensional line (this example corresponds to the classical slab-like model for a cylindrical pore), and let Qr be a Cantor middle-third set, da = log 2/log 3 = 0.631. Figure 5 shows the construction process of the structure applied in the renormalization process. The graph of the structure at... 

Interpolation and extrapolation When points on a line graph are connected, the data is considered to be continuous. Continuous data allows you to read the value from any point that falls between the recorded data points. This process is called interpolation. For example, from Figure 2.16b, what is the temperature at an elevation of 350 m ... 

In the previous example, we visually determined if it would be reasonable to perform a linear fit, but it is certainly possible to have a less clear-cut case If there is some slight curve to the data, is it still "close enough" to be useful Though it will always come down to your own judgment after seeing the fit line graph against the data, there is a mathematical tool to help you called a correlation coefTicient, r, which can be defined in several different ways. One of them is as follows [1] ... 

Not uncommonly, it is observed that a graph of against g is a curve convex to the -axis instead of a straight line. An example of this kind of graph is shown in Fig. 4.2 for phosphate adsorption by a clay loam soil. If the value of tends to a finite constant as q tends to zero and if extrapolates to zero at some finite value of q, then the adsorption isotherm can always be fit to a two-term series of Langmuir equatioiw ... 

The straight line graph can be used to calculate the diffusion coefficient and the rate of movement of any required chloride threshold in mm yr . The process is recommended for use by Germann Instruments with their RCT profile grinder (see Section 4.10 and Figure 4.10). It is fully described with examples in their instruction and maintenance manual (Germann Instruments, 1994). 

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