Casio FX-9750G User manual

Chapter
18
Statistical Graphs and
Calculations
This chapter describes how to input statistical data into lists, and
how to calculate the mean, maximum and other statistical values. It
also tells you how to perform regression calculations.
18-1 Before Performing Statistical Calculations
18-2 Paired-Variable Statistical Calculation Examples
18-3 Calculating and Graphing Single-Variable Statistical
Data
18-4 Calculating and Graphing Paired-Variable Statistical
Data
18-5 Other Graphing Functions
18-6 Performing Statistical Calculations
Important!
• This chapter contains a number of graph screen shots. In each case, new data
values were input in order to highlight the particular characteristics of the graph
being drawn. Note that when you try to draw a similar graph, the unit uses data
values that you have input using the List function. Because of this, the graphs
that appears on the screen when you perform a graphing operation will prob-
ably differ somewhat from those shown in this manual.

284
18-1 Before Performing Statistical Calculations
In the Main Menu, select the STAT icon to enter the STAT Mode and display the
statistical data lists.
Use the statistical data lists to input data and to perform statistical calculations.
1(GRPH) .... Graph menu
2(CALC)..... Statistical calculation menu
6(g) ........... Next menu
6(g)
1(SRT•A).... Ascending sort
2(SRT•D) ... Descending sort
3(DEL) ....... Single data item delete
4(DEL•A).... Delete all data
5(INS) ........ Insert data item
6(g) ........... Previous menu
• The procedures you should use for data editing are identical to those you use
with the list function. For details, see “17. List Function”.
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Use f, c, d and e to move
the highlighting around the lists.

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18-2 Paired-Variable Statistical Calculation
Examples
Once you input data, you can use it to produce a graph and check for tendencies.
You can also use a variety of different regression calculations to analyze the data.
Example To input the following two data groups and perform statistical
calculations
0.5, 1.2, 2.4, 4.0, 5.2
–2.1, 0.3, 1.5, 2.0, 2.4
kk
kk
kInputting Data into Lists
Input the two groups of data into List 1 and List 2.
a.fwb.cw
c.ewewf.cw
e
-c.bwa.dw
b.fwcwc.ew
Once data is input, you can use it for graphing and statistical calculations.
• Input values can be up to 10 digits long.
• You can use the f, c, dand ekeys to move the highlighting to any cell in
the lists for data input.
kk
kk
kPlotting Data
Example To specify Graph 1 as non-draw (Off) and Graph 3 as draw (On)
and use Graph 3 to plot the data you input into statistical data
List 1 and List 2 above
While the statistical data list is on the display, press 1(GRPH) to display the graph
menu.
1(GRPH)
1(GPH1)..... Graph 1 draw
2(GPH2)..... Graph 2 draw
3(GPH3)..... Graph 3 draw
4(SEL)........ Graph (GPH1, GPH2, GPH3) selection
6(SET) ....... Graph settings (graph type, list assignments)
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• You can specify the graph draw/non-draw status, the graph type, and other gen-
eral settings for each of the graphs in the graph menu (GPH1, GPH2, GPH3).
• You can press any function key (1,2,3) to draw a graph regardless of the
current location of the highlighting in the statistical data list.
• The initial default graph type setting for all the graphs (Graph 1 through Graph 3)
is scatter diagram, but you can change to one of a number of other graph types.
kk
kk
kPlotting a Scatter Diagram
It is often difficult to spot the relationship between two sets of data (such as height
and shoe size) by simply looking at the numbers. Such relationships often become
clear however, when we plot the data on a graph, using one set as x-values and the
other set as y-values.
uu
uu
uTo plot a scatter diagram
Example To plot the data we input in statistical data List 1 and List 2
1(GPH1)
• The default setting automatically uses List 1 data asx-axis values and List 2 data
as y-axis values. Each set of x/ydata is a point on the scatter diagram.
• To return to the statistical data list, press Jor !Q.
kk
kk
kChanging Graph Parameters
Use the following procedures to specify the graph draw/non-draw status, the graph
type, and other general settings for each of the graphs in the graph menu (GPH1,
GPH2, GPH3).
18 - 2 Paired-Variable Statistical Calculation Examples
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1. Graph draw/non-draw status (SELECT)
The following procedure can be used to specify the draw (On)/non-draw (Off) status
of each of the graphs in the graph menu.
uu
uu
uTo specify the draw/non-draw status of a graph
1. While the graph menu is on the display, press 4(SEL) to display the graph On/
Off screen.
1(GRPH)
4(SEL)
1(On).......... Graph On (graph draw)
2(Off).......... Graph Off (graph non-draw)
6(DRAW).... Draw all On graphs
• Note that the StatGraph1 setting is for Graph 1 (GPH1 of the graph menu),
StatGraph2 is for Graph 2, and StatGraph3 is for Graph 3.
2. Usefand cto move the highlighting to the graph whose draw (On)/non-draw
(Off) status you want to change and press 1(On) or 2(Off).
3. To return to the graph menu, press J.
uu
uu
uTo draw a graph
Example To draw a scatter diagram of Graph 3 only
1(GRPH)4(SEL)
2(Off)
cc1(On)
6(DRAW)
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2. General graph settings (SET)
This section describes how to use the general graph settings screen to make the
following settings for each graph (GPH1, GPH2, GPH3).
• Graph Type
The initial default graph type setting for all the graphs is scatter graph. You can select
one of a variety of other statistical graph types for each graph.
• List
The initial default is statistical data List 1 for single-variable data, and List 1 and List
2 for paired-variable data. You can specify which statistical data list you want to use
for x-data and y-data.
• Frequency
Normally, each data item or data pair in the statistical data list is represented on a
graph as a point. When you are working with a large number of data items however,
this can cause problems because of the number of plot points on the graph. When
this happens, you can specify a frequency list that contains values indicating the
number of instances (the frequency) of the data items in the corresponding cells of
the lists you are using for x-data and y-data. Once you do this, only one point is
plotted for the multiple data items, which makes the graph easier to read.
• Mark Type
This setting lets you specify the shape of the plot points on the graph.
uu
uu
uTo display the general graph settings (SET) screen
While the graph menu is on the display, press 6(SET) to display the general graph
settings screen.
1(GRPH)
6(SET)
• The settings shown here are examples only. The settings on your general graph
settings screen may differ.
uu
uu
uTo select the StatGraph area
1. While the general graph settings screen is on the display, use fand cto
move the highlighting to the StatGraph item.
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2. Use the function key menu to select the StatGraph area you want to select.
1(GPH1)..... Graph 1
2(GPH2)..... Graph 2
3(GPH3)..... Graph 3
uu
uu
uTo select the graph type (Graph Type)
1. While the general graph settings screen is on the display, use fand cto
move the highlighting to the Graph Type item.
2. Use the function key menu to select the graph type you want to select.
1(Scat) ....... Scatter diagram
2(xy)........... xy line graph
6(g) ........... Next menu
6(g)
1(Hist) ........ Histogram (bar graph)
2(Box) ........ Med-box graph
___
3(Box) ........ Mean-box graph
4(N•Dis) ..... Normal distribution curve
5(Brkn) ....... Line graph
6(g) ........... Next menu
6(g)
1(X) ............ Linear regression graph
2(Med) ....... Med-Med graph
3(X^2) ........ Quadratic regression graph
4(X^3) ........ Cubic regression graph
5(X^4) ........ Quartic regression graph
6(g) ........... Next menu
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6(g)
1(Log) ........ Logarithmic regression graph
2(Exp) ........ Exponential regression graph
3(Pwr) ........ Power regression graph
6(g) ........... Previous menu
uu
uu
uTo select the x-axis data list (XList)
1. While the graph settings screen is on the display, use fand cto move the
highlighting to the XList item.
2. Use the function key menu to select the name of the statistical data list whose
values you want on the x-axis of the graph.
1(List1)....... List 1
2(List2)....... List 2
3(List3)....... List 3
4(List4)....... List 4
5(List5)....... List 5
6(List6)....... List 6
uu
uu
uTo select the y-axis data list (YList)
1. While the graph settings screen is on the display, use fand cto move the
highlighting to the YList item.
2. Use the function key menu to select the name of the statistical data list whose
values you want on the y-axis of the graph.
1(List1)....... List 1
2(List2)....... List 2
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3(List3)....... List 3
4(List4)....... List 4
5(List5)....... List 5
6(List6)....... List 6
uu
uu
uTo select the frequency data list (Frequency)
1. While the general graph settings screen is on the display, use fand cto
move the highlighting to the Frequency item.
2. Use the function key menu to select the frequency setting you want.
1(1) ............ Plot all data (1-to-1)
2(List1)....... List 1 data is frequency data.
3(List2)....... List 2 data is frequency data.
4(List3)....... List 3 data is frequency data.
5(List4)....... List 4 data is frequency data.
6(g) ........... Next menu
6(g)
1(List5)....... List 5 data is frequency data.
2(List6)....... List 6 data is frequency data.
6(g) ........... Previous menu
uu
uu
uTo select the plot mark type (Mark Type)
1. While the general graph settings screen is on the display, use fand cto
move the highlighting to the Mark Type item.
2. Use the function key menu to select the plot mark you want to select.
1( ) ........... Plot using
2(X) ............ Plot using X
3(•) ............. Plot using •
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kk
kk
kDrawing an xy Line Graph
Paired data items can be used to plot a scatter diagram.A scatter diagram where the
points are linked is an xy line graph.
Press Jor !Q to return to the statistical data list.
kk
kk
kSelecting the Regression Type
After you graph statistical data, you can use the function menu at the bottom of the
display to select from a variety of different types of regression.
1(X) ............ Linear regression graph
2(Med) ....... Med-Med graph
3(X^2) ........ Quadratic regression graph
4(X^3) ........ Cubic regression graph
5(X^4) ........ Quartic regression graph
6(g) ........... Next menu
6(g)
1(Log) ........ Logarithmic regression graph
2(Exp) ........ Exponential regression graph
3(Pwr) ........ Power regression graph
4(2VAR) ..... Paired-variable statistical results
6(g) ........... Previous menu
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(GraphType)
(xy)
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