Cartesian coordinate

(noun)

The coordinates of a point measured from an origin along a horizontal axis from left to right (the $x$-axis) and along a vertical axis from bottom to top (the $y$-axis).

Related Terms

Examples of Cartesian coordinate in the following topics:

  • Scatter Diagram

    • A scatter diagram is a type of mathematical diagram using Cartesian coordinates to display values for two variables in a set of data.
    • A person with a lung capacity of 400 ml who held his breath for 21.7 seconds would be represented by a single dot on the scatter plot at the point (400, 21.7) in the Cartesian coordinates.
    • A scatter plot, or diagram, is a type of mathematical diagram using Cartesian coordinates to display values for two variables in a set of data.

  • Graphs for Quantitative Data

    • Scatter plot: This is a type of mathematical diagram using Cartesian coordinates to display values for two variables for a set of data.

  • Slope and Intercept

    • The slope of a line in the plane containing the x and y axes is generally represented by the letter m, and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
    • Using the common convention that the horizontal axis represents a variable $x$ and the vertical axis represents a variable $y$, a $y$-intercept is a point where the graph of a function or relation intersects with the $y$-axis of the coordinate system.
    • If the curve in question is given as $y=f(x)$, the $y$-coordinate of the $y$-intercept is found by calculating $f(0)$.
    • The zeros, or roots, of such a function or relation are the $x$-coordinates of these $x$-intercepts.

  • Exploratory Data Analysis (EDA)

  • Slope and Y-Intercept of a Linear Equation

    • the y coordinate of the point ( 0,a ) where the line crosses the y-axis.

  • Statistical Graphics

    • Many familiar forms, including bivariate plots, statistical maps, bar charts, and coordinate paper were used in the 18th century.

  • Degrees of Freedom

    • The number of independent ways by which a dynamical system can move without violating any constraint imposed on it is known as "degree of freedom. " The degree of freedom can be defined as the minimum number of independent coordinates that completely specify the position of the system.
    • The degrees of freedom are also commonly associated with the squared lengths (or "sum of squares" of the coordinates) of random vectors and the parameters of chi-squared and other distributions that arise in associated statistical testing problems.

  • Residuals

    • The residuals are plotted at their original horizontal locations but with the vertical coordinate as the residual.

  • Significance Levels

    • The vertical coordinate is the probability density of each outcome, computed under the null hypothesis.

  • Normal probability plot

    • If we examine just the vertical coordinates of these observations, we see that there is a lot of data between -20 and 0, and then about five observations scattered between 0 and 70.