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Describing scatter plots
Describing scatter plots






The data are displayed as a collection of points, each having the value of one variable determining the position on the horizontal axis and the value of the other variable determining the position on the vertical axis. If the points are coded (color/shape/size), one additional variable can be displayed. Ī scatter plot (also called a scatterplot, scatter graph, scatter chart, scattergram, or scatter diagram) is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. The different variables are combined to form coordinates in the phase space and they are displayed using glyphs and coloured using another scalar variable. This scatter plot takes multiple scalar variables and uses them for different axes in phase space. We calculate the strength of the relationship between an independent variable and a dependent variable using linear regression.A 3D scatter plot allows the visualization of multivariate data. They indicate both the direction of the relationship between the x variables and the y variables, and the strength of the relationship. Scatter plots are particularly helpful graphs when we want to see if there is a linear relationship among data points. If x is the independent variable and y the dependent variable, then we can use a regression line to predict y for a given value of x Concept Review However, we only calculate a regression line if one of the variables helps to explain or predict the other variable. This line can be calculated through a process called linear regression. If we think that the points show a linear relationship, we would like to draw a line on the scatter plot. The linear relationship is strong if the points are close to a straight line, except in the case of a horizontal line where there is no relationship. In this chapter, we are interested in scatter plots that show a linear pattern. The following scatterplot examples illustrate these concepts. When you look at a scatterplot, you want to notice the overall pattern and any deviations from the pattern. Consider a scatter plot where all the points fall on a horizontal line providing a “perfect fit.” The horizontal line would in fact show no relationship.

describing scatter plots

For a linear relationship there is an exception. You can determine the strength of the relationship by looking at the scatter plot and seeing how close the points are to a line, a power function, an exponential function, or to some other type of function. High values of one variable occurring with low values of the other variable. A clear direction happens when there is either: High values of one variable occurring with high values of the other variable or low values of one variable occurring with low values of the other variable. The number of points Amelia scores per game goes up when she practices her jump shot more.Ī scatter plot shows the direction of a relationship between the variables. Yes, Amelia’s assumption appears to be correct. She records the following data: X (hours practicing jump shot)Ĭonstruct a scatter plot and state if what Amelia thinks appears to be true. She notices that the number of points she scores in a game goes up in response to the number of hours she practices her jump shot each week. She wants to improve to play at the college level. You can press WINDOW to see the scaling of the axes.Īmelia plays basketball for her high school. Press the ZOOM key and then the number 9 (for menu item “ZoomStat”) the calculator will fit the window to the data.Make sure there are no other equations that could be plotted.For Mark: it does not matter which symbol you highlight, but the square is the easiest to see.For Xlist:, enter L1 ENTER and for Ylist: L2 ENTER.For TYPE: highlight the very first icon, which is the scatter plot, and press ENTER.On the input screen for PLOT 1, highlight On and press ENTER. Press 2nd STATPLOT ENTER to use Plot 1.Enter your X data into list L1 and your Y data into list L2.Scatter plot showing the number of m-commerce users (in millions) by year.

describing scatter plots

Table showing the number of m-commerce users (in millions) by year. Let x = the year and let y = the number of m-commerce users, in millions. For the years 2000 through 2004, was there a relationship between the year and the number of m-commerce users? Construct a scatter plot.

describing scatter plots

#Describing scatter plots tv

Users can do everything from paying for parking to buying a TV set or soda from a machine to banking to checking sports scores on the Internet. M-commerce users have special mobile phones that work like electronic wallets as well as provide phone and Internet services. In Europe and Asia, m-commerce is popular.






Describing scatter plots