If the mass of the aluminum sample was 17 g, what volume would this correspond to? Read this from the graph. Write the equation for the line in the y=mx + b format, substituting the slope for m and zero for b.Ĥ. Īnswer the following questions, then check your answers by clicking and dragging your cursor (or double-clicking) over the space after the word “Answer.”ġ. What is the slope for the first graph?Ģ. What type of relationship is indicated in Graph 1?ģ. For this particular curve, the inverse relationship works best this is. Click on Curve Fit, select Inverse, and click Apply. Notice that the line does not look like a straight fit. And open a new graph and data table.Įnter the values for the pressure and volume of a gas as given below and create labels and units for the axes as well as a title for the graph. Also on this screen, uncheck “Points.” This way the graph shows the best fit line for the data points and not a dot-to-dot line. Mass.” Titles on science graphs are usually in the y vs. Click Edit Graph Options to save the graph with a name. This button also draws the best fit straight line for the data points (called a regression line).Ĭlick the Graph Options icon again and scroll down to the bottom.
This will put a linear info box on the graph showing the slope (m) and the y-intercept (b). Volume (cm 3)Īfter you have entered all the values, click on the Graph Options icon in the bottom left corner and click Apply Curve Fit. The graph will instantly appear as you enter values. Enter the data from the data table below for the mass and volume of aluminum samples.Įnter the following data in the blank data table.
GRAPHICAL ANALYSIS 3 COLUMN EQUATION MANUAL
When Graphical Analysis opens, select Manual Entry. However, you could use any graphing program, even Excel, or just your hand and some graph paper.You can find the version for your device here.
GRAPHICAL ANALYSIS 3 COLUMN EQUATION INSTALL
It is suggested you install the Vernier Graphical Analysis program.(All of the processes described below are for the Vermier Graphical Analysis program.)įirst, install the program or decide what you will use. Procedure: Use Graphical Analysis program for entering and analyzing data. Purpose: to determine the relationship (linear or inverse) between mass and volume of aluminum to determine the relationship (linear or inverse) between the pressure and volume of a gas PROCESS If two quantities are inversely proportional k = xy. If two quantities are directly proportional k = y/x. Note that an inverse relationship is nonlinear because the increase of one variable is not accompanied by a constant rate of decrease in the other variable. The expression relating gas pressure and volume follows the expression PV=k. The mathematical relationship that expresses an inverse relationship is. In an inverse relationship, one quantity increases as the other decreases. If data points lie along a curve that drops from left to right, then the quantities have an inverse relationship or are inversely proportional. The mathematical expression for an indirect relationship is y = -kx. For an indirect relationship, one variable increases while the other decreases at a constant rate.
The equation for the directly proportional linear relationship is y = kx. Directly proportional quantities, x and y, relate to one another through mathematical equations of the form y = mx + b, where m is a constant and b is zero. This means as one variable increases, the other does too, in a constant proportion – as x doubles, y doubles as x triples, y triples etc. If data points lie roughly along a straight line, the x and y variables have a linear relationship or are directly proportional. In most cases, line graphs are the most useful for scientists. Read this PURPOSE section first to understand WHY we are doing what we are doing today.
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