Line plot

Multi-way Analysis With Applications in the Chemical Sciences 

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In the simplest case, for a pressure drawdown survey, the radial inflow equation indicates that the bottom hole flowing pressure is proportional to the logarithm of time. From the straight line plot ot pressure against the log (time), the reservoir permeability can be determined, and subsequently the total skin of the well. For a build-up survey, a similar plot (the so-called Horner plot) may be used to determine the same parameters, whose values act as an independent quality check on those derived from the drawdown survey. 

This would give a straight line plot on rectangular graph paper. WeibuU graph paper plots [E(/), /] as a straight line. Figure 11 illustrates a typical WeibuU paper. 

Occasionally creep curves are plotted as log (strain) against log (time). This is convenient because quite often this results in straight line plots suggesting that the creep behaviour can be described by an equation of the type... 

Graphically integrate, by plotting l/h -h vs. t, reading (h -h) firom the operating-equilibrium line plot for various values of temperature. See Figure 9-125. 

Following Reference 19, plot this on the appropriate curve (good up to altitudes of 3,000 ft) for RaV/L vs. L /Ga for the proper wet bulb, range and at the intersection of the straight line plot with the approach value selected or needed, read the L /Ga required to meet the performance conditions. 

Figure 14-31. Willans line plot for partial load steam turbine..

Willans line plot Figure 14-31 at partial load of 900 hp, the steam flow should be 27,000 Ib/hr. 

Plot the observed e.m.f. values against the concentrations of the standard solutions, using a semi-log graph paper which covers four cycles (i.e. spans four decades on the log scale) use the log axis for the concentrations, which should be in terms of fluoride ion concentration. A straight line plot (calibration curve) will be obtained. With increasing dilution of the solutions there tends to be a departure from the straight line with the electrode combination and measuring system referred to above, this becomes apparent when the fluoride ion concentration is reduced to ca 0.2 mg L-1. 

Both the A1 and AP samples appeared to follow very closely the log normal law of particle distribution as evidenced by the straight line plots of the size distribution data obtained microscopically and Micromerographically, This... 

A clean first-order process may erroneously appear to be a biphasic one, and vice versa. If the distortion to the property-time curve is not so evident as in the example, there might be a smooth rise or fall from reactant to product. The linearity of the plot of In (Y, - Kcc) versus time depends on the end point reading Yr.. One must be cautious, however, in ascribing a mildly curved plot of In Y, - W) versus time to a biphasic pattern. Were the observed value of Yx off by a small amount, a simple adjustment could give a straight-line plot indicative of first-order kinetics. Of course, if Tec is adjusted to force linearity, one must surely ask whether the revised value of Yx represents a reasonable extrapolation of the data, lest the proper but more complex reaction pattern be concealed. 

Application of equation 10 to the experimental D vs. [HSOIJ] data determined at 25°C and both 1 and 2 M acidity yielded straight line plots with slopes indistinguishable from zero and reproduced the Bi values determined in a non-linear regression fit of the data. This result implies no adsorption of PuSO by the resin and justifies use of the simpler data treatment represented by equation 2. A similar analysis of the Th(IV)-HSOiJ system done by Zielen (9) likewise produced results consistent with no adsorption of ThS0 + by Dowex AG50X12 resin. 

Fig. 11 —Isometric views and associated contour line plots of film shape for k=2.9 and rolling speed of 0.021 and 0.042 ms" (Ref. [56]).

Equation (6.6) applies to anodic and cathodic currents. At low values of polarization the parameter p usually has the same value for anodic and cathodic currents, and the slope of the A vs. i straight-line plots does not change at the coordinate origin (Fig. 6.2). 

It can be seen from Fig. 14.7 that the polarization curve for this reaction involving p-type germanium in 0.1 M HCl is the usual Tafel straight-line plot with a slope of about 0.12 V. For -type germanium, where the hole concentration is low, the curve looks the same at low current densities. However, at current densities of about 50 AJvcF we see a strong shift of potential in the positive direction, and a distinct limiting current is attained. Thus, here the first reaction step is inhibited by slow supply of holes to the reaction zone. 

A straight line plotted in coordinates Igfl -. /e for a negatively charged ion 02 Yq <0) must have a positive slope which is consistent... 

So, corresponding to id for a reversible electrode reaction, Jp is a linear function of concentration the greater sensitivity of the latter permits determinations down to 10 1M(instead of 10 6 Mfor id). Apart from this advantage, the second derivative curve, by means of the difference between its maximum and minimum as a function of concentration, offers an even better check on reaction reversibility32 than the straight-line plot of E (according to eqn. 3.49) against log(tcd - i)/i (see also p. 120), especially because Ip, as a property at the halfwave potential, is more sensitive to the occurrence of irreversibility (cf., pp. 124-127). 

Common Clinical Trial Graphs 200 Scatter Plot 200 Line Plot 201 Bar Chart 202 Box Plot 203 Odds Ratio Plot 203... 

Another commonly used graph in clinical trials is the line plot. A line plot lets you display the count or measure of something on the Y axis across some other dimension on the X axis. The following is a sample line plot where each line represents a treatment regimen and the treatment response (Y axis) is measured across time (X axis). 

Bar charts can represent data similar to the data represented by a line plot, but in a visually different way. Sometimes bar charts are requested in clinical trial reporting instead of a line plot. The following example shows the data from the previous line plot represented as a bar chart. 

Bar charts can be represented either horizontally or vertically depending on user preference, but you can represent the same data and information in a bar chart as you can in a line plot. 

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