This paper presents a conceptual analysis for students' images of graphs and their extension to graphs of two-variable functions. We use the conceptual analysis, based on quantitative and ...

In this video we will learn about the plotting of graphs for a pair of linear equations in two variables. Two straight lines are obtained when we plot a pair of linear equations on the graph paper ...

Microsoft Excel can present two series of data points together on the horizontal axis, but if the number scale for each series dramatically differs, the data will not be readable. Using a two-sided ...

Functions of two variables can be visualized in many ways: heat maps in 2D, contour curves in 2D, wireframes in 3D, surfaces in 3D. We begin by defining a function of two variables, building an array ...

While scatterplots provide a visual assessment of the relationship between variables, the correlation coefficient offers a numerical measure of the strength and direction of a linear relationship. The ...

Microsoft Excel can perform numerous statistical functions, as well as create charts from statistical data. Statistical data includes numeric variables or word variables, also called categorical ...

CBSE Class 9 Maths extra questions and answers for Chapter 4 - Linear Equations In Two Variables can are entirely based on the important concepts given in the NCERT book. Therefore these questions are ...

Forbes contributors publish independent expert analyses and insights. I help people communicate data clearly with graphs. Never use more dimensions in your figure than there are variables in the data ...