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Casio fx-9750G Manual

18. statistical graphs and calculations
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Download this manual See also: User Manual, Manual
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.
Chapter
18

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Summary of Contents for Casio fx-9750G

  • Page 1 Chapter 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...

  • Page 2: Before Performing Statistical Calculations

    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. Use f, c, d and e to move the highlighting around the lists.

  • Page 3: Paired-Variable Statistical Calculation Examples

    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...
  • Page 4 18 - 2 Paired-Variable Statistical Calculation Examples • 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.
  • Page 5 18 - 2 Paired-Variable Statistical Calculation Examples 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. u u u u u To specify the draw/non-draw status of a graph 1.
  • Page 6 18 - 2 Paired-Variable Statistical Calculation Examples 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.
  • Page 7 18 - 2 Paired-Variable Statistical Calculation Examples 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 u u u u u To select the graph type (Graph Type) 1.
  • Page 8 18 - 2 Paired-Variable Statistical Calculation Examples 6(g) 1 2 3 1 (Log) ..Logarithmic regression graph 2 (Exp) ..Exponential regression graph 3 (Pwr) ..Power regression graph 6 (g) ... Previous menu u u u u u To select the -axis data list (XList) 1.
  • Page 9 18 - 2 Paired-Variable Statistical Calculation Examples 3 (List3) ..List 3 4 (List4) ..List 4 5 (List5) ..List 5 6 (List6) ..List 6 u u u u u To select the frequency data list (Frequency) 1. While the general graph settings screen is on the display, use f and c to move the highlighting to the Frequency item.
  • Page 10 18 - 2 Paired-Variable Statistical Calculation Examples k k k k k Drawing an Line Graph P.289 Paired data items can be used to plot a scatter diagram. A scatter diagram where the (Graph Type) points are linked is an line graph.
  • Page 11 18 - 2 Paired-Variable Statistical Calculation Examples k k k k k Displaying Statistical Calculation Results Whenever you perform a regression calculation, the regression formula parameter (such as in the linear regression ) calculation results appear on the display. You can use these to obtain statistical calculation results. Regression parameters are calculated as soon as you press a function key to select a regression type while a graph is on the display.

  • Page 12: Calculating And Graphing Single-Variable Statistical Data

    18-3 Calculating and Graphing Single-Variable Statistical Data Single-variable data is data with only a single variable. If you are calculating the average height of the members of a class for example, there is only one variable (height). Single-variable statistics include distribution and sum. The following five types of graphs are available for single-variable statistics.
  • Page 13 18 - 3 Calculating and Graphing Single-Variable Statistical Data From the statistical data list, press 1 (GRPH) to display the graph menu, press 6 (SET), and then change the graph type of the graph you want to use (GPH1, GPH2, GPH3) to mean-box graph.
  • Page 14 18 - 3 Calculating and Graphing Single-Variable Statistical Data k k k k k Displaying Single-Variable Statistical Results Single-variable statistics can be expressed as both graphs and parameter values. When these graphs are displayed, the menu at the bottom of the screen appears as below.

  • Page 15: Calculating And Graphing Paired-Variable Statistical Data

    18-4 Calculating and Graphing Paired-Variable Statistical Data Under “Plotting a Scatter Diagram,” we displayed a scatter diagram and then per- formed a logarithmic regression calculation. Let’s use the same procedure to look at the six regression functions. k k k k k Linear Regression Graph P.289 Linear regression plots a straight line that passes close to as many data points as possible, and returns values for the slope and...
  • Page 16 18 - 4 Calculating and Graphing Paired-Variable Statistical Data 6(DRAW) The following are the meanings of the above parameters. a ..Med-Med graph slope b ..Med-Med graph intercept k k k k k Quadratic/Cubic/Quartic Regression Graph P.289 A quadratic/cubic/quartic regression graph represents connection of the data points of a scatter diagram.
  • Page 17 18 - 4 Calculating and Graphing Paired-Variable Statistical Data Quartic regression a ..Quartic regression coefficient b ..Cubic regression coefficient c ..Quadratic regression coefficient d ..Linear regression coefficient e ..Regression constant term (intercept) k k k k k Logarithmic Regression Graph P.290 Logarithmic regression expresses as a logarithmic function of...
  • Page 18 18 - 4 Calculating and Graphing Paired-Variable Statistical Data 6(DRAW) The following are the meanings of the above parameters. a ..Regression coefficient b ..Regression constant term r ..Correlation coefficient k k k k k Power Regression Graph Exponential regression expresses as a proportion of the power of .
  • Page 19 18 - 4 Calculating and Graphing Paired-Variable Statistical Data k k k k k Displaying Paired-Variable Statistical Results Paired-variable statistics can be expressed as both graphs and parameter values. P.290 When these graphs are displayed, the menu at the bottom of the screen appears as below.
  • Page 20 18 - 4 Calculating and Graphing Paired-Variable Statistical Data k k k k k Copying a Regression Graph Formula to the Graph Mode After you perform a regression calculation, you can copy its formula to the GRAPH Mode. The following are the functions that are available in the function menu at the bottom of the display while regression calculation results are on the screen.
  • Page 21 18 - 4 Calculating and Graphing Paired-Variable Statistical Data 6(DRAW) 1(X) P.289 • The text at the top of the screen indicates the currently selected graph (StatGraph1 = Graph 1, StatGraph2 = Graph 2, StatGraph3 = Graph 3). 1. Use f and c to change the currently selected graph. The graph name at the top of the screen changes when you do.

  • Page 22: Other Graphing Functions

    18-5 Other Graphing Functions k k k k k Manual Graphing In all of the graphing examples up to this point, values were calculated in accord- ance with View Window settings and graphing was performed automatically. This automatic graphing is performed when the Stat Wind item of the View Window is set to “Auto”...

  • Page 23: Performing Statistical Calculations

    18-6 Performing Statistical Calculations All of the statistical calculations up to this point were performed after displaying a graph. The following procedures can be used to perform statistical calculations alone. u u u u u To specify statistical calculation data lists You have to input the statistical data for the calculation you want to perform and specify where it is located before you start a calculation.
  • Page 24 18 - 6 Performing Statistical Calculations Now you can press f and c to view variable characteristics. P.296 For details on the meanings of these statistical values, see “Displaying Single-Vari- able Statistical Results”. k k k k k Paired-Variable Statistical Calculations In the previous examples from “Linear Regression Graph”...
  • Page 25 18 - 6 Performing Statistical Calculations Next, you can use the following. 1 (X) .... Linear regression 2 (Med) ..Med-Med regression 3 (X^2) ..Quadratic regression 4 (X^3) ..Cubic regression 5 (X^4) ..Quartic regression 6 (g) ... Next menu 1 (Log) ..
  • Page 26 18 - 6 Performing Statistical Calculations 4. Press the keys as follows. ea(value of K5(STAT)2( )w 3 4 5 6 The estimated value is displayed for = 40. baaa(value of 1( )w The estimated value is displayed for = 1000. (Graph Type) 1(GRPH)6(SET)c (Scatter)
  • Page 27 18 - 6 Performing Statistical Calculations • Probability P( ), Q( ), and R( ), and normalized variate ) are calculated using the following formulas. Example The following table shows the results of measurements of the height of 20 college students. Determine what percentage of the students fall in the range 160.5 cm to 175.5 cm.
  • Page 28 18 - 6 Performing Statistical Calculations 2. Use the STAT Mode to perform the single-variable statistical calculations. 2(CALC)6(SET) c3(List2)J1(1VAR) 3. Press m to display the Main Menu, and then enter the RUN Mode. 4. In the RUN Mode, display the probability calculation menu. •...
  • Page 29 18 - 6 Performing Statistical Calculations k k k k k Probability Graphing You can graph a probability distribution with Graph Y = in the Sketch Mode. Example To graph probability P(0.5) Perform the following operation in the RUN Mode. !4(Sketch)1(Cls)w 5(GRPH)1(Y=)K6(g)3(PROB) 6(g)1(P()a.f)w...

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