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  1. Plotting for x over only the predicted values and y over only the residual range is fine. In order to view both plots side by side, I melt the data: library(reshape2) plot <- melt(results, id.vars = "pred") Now plot: library(ggplot2) p <- ggplot(plot, aes(x = pred, y = value)) + geom_point(size = 2.5) + theme_bw()

  2. Users can define a full scale class and pass that to set_xscale and set_yscale (see Custom scale). A short cut for this is to use the 'function' scale, and pass as extra arguments a forward and an inverse function. The following performs a Mercator transform to the y-axis.

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  3. The x-axis of a Bar Graph presents the discrete categories, and the y-axis shows a measured value. Uses of Bar Graphs: When you want to display data that are grouped into discrete categories. When you want to compare differences among categories.

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  4. The axis scale options determine how axes are scaled (arithmetic, log, reversed), the range of the axes, and the look of the lines that are the axes. Quick start Put the y axis on a natural-log scale graph_command :::, ::: yscale(log) Reverse the order of the ticks and labels on the x axis graph_command :::, ::: xscale(reverse)

  5. Revision notes on 9.1.3 Scale Drawings for the Edexcel GCSE Physics syllabus, written by the Physics experts at Save My Exams.

  6. Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

  7. A relation is a function if and only if each object in its domain is paired with one and only one object in its range. Consider the mapping diagram in Figure 2.3.2, where we’ve used arrows to indicate the ordered pairs (x, y1) and (x, y2) in Figure 2.3.1 (c).

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