Casio fx-7400G PLUS Instruction Manual

Casio fx-7400G PLUS Instruction Manual

Chapter 7 - statistical graphs and calculations
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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.
1. Before Performing Statistical Calculations
2. Statistical Calculation Examples
3. Calculating and Graphing Single-Variable Statistical Data
4. Calculating and Graphing Paired-Variable Statistical Data
5. Manual Graphing
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
7

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Summary of Contents for Casio fx-7400G PLUS

  • 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. 1. Before Performing Statistical Calculations 2.
  • Page 2: Chapter 7 Statistical Graphs And Calculations

    Chapter 7 Statistical Graphs and Calculations 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 Statistical Graphs and Calculations Chapter 7 k k k k k Inputting Data into Lists Input the two groups of data into List 1 and List 2. a.fwb.cw c.ewewf.cw -c.bwa.dw b.fwcwc.ew Once data is input, you can use it for graphing and statistical calculations. •...
  • Page 4 Chapter 7 Statistical Graphs and Calculations k k k k k Plotting 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 -values and the other set as...
  • Page 5 Statistical Graphs and Calculations Chapter 7 2. Use f and c to 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 Q. u u u u u To draw a graph Example To draw a scatter diagram of Graph 3 only...
  • Page 6 Chapter 7 Statistical Graphs and Calculations u u u u u To display the general graph settings (SET) screen While the graph menu is on the display, press [4 (SET) to display the general graph settings screen. 1(GRPH) [4(SET) • The settings shown here are examples only. The settings on your general graph settings screen may differ.
  • Page 7 Statistical Graphs and Calculations Chapter 7 1 (Hist) ..Histogram 2 (Box) ..Med-box graph 3 (N•Dis) ..Normal distribution curve 1 (X) .... Linear regression graph 2 (Med) ..Med-Med graph 3 (X^2) ..Quadratic regression graph 1 (Log) ..Logarithmic regression graph 2 (Exp) ..
  • Page 8: Table Of Contents

    Chapter 7 Statistical Graphs and Calculations 2. Use the function key menu to select the name of the statistical data list whose values you want on the -axis of the graph. 1 (List1) ..List 1 2 (List2) ..List 2 3 (List3) ..
  • Page 9: List1)

    Statistical Graphs and Calculations Chapter 7 u u u u u To select the frequency data list (Freq) 1. While the general graph settings screen is on the display, use f and c to move the highlighting to the Freq item. 2.
  • Page 10 Chapter 7 Statistical Graphs and Calculations u u u u u To select the data list for a pie chart, stacked bar chart, bar graph or line graph (Data) 1. While the graph settings screen is on the display, use f and c to move the highlighting to the Data item.
  • Page 11 Statistical Graphs and Calculations Chapter 7 3. Use f and c to move the highlighting to the Line item. 4. Use the function key menu to select the name of the statistical data list whose values you want to use. 1 (List1) ..
  • Page 12 Chapter 7 Statistical Graphs and Calculations 1 (Log) ..Logarithmic regression 2 (Exp) ..Exponential regression 3 (Pwr) ..Power regression 4 (2VAR) ..Paired-variable statistical results Press [ to return to the previous menu. 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...
  • Page 13 Statistical Graphs and Calculations Chapter 7 Example To graph a logarithmic regression While logarithmic regression parameter calculation results are on the display, press 4 (DRAW). 4(DRAW) For details on the meanings of function menu items at the bottom of the display, see P.105 “Selecting the Regression Type”.
  • Page 14 Chapter 7 Statistical Graphs and Calculations minX maxX k k k k k Normal Distribution Curve The normal distribution curve is graphed using the following normal distribution func- tion. ( x – x ) – 2xσ (2 π) xσ The distribution of characteristics of items manufactured according to some fixed standard (such as component length) fall within normal distribution.
  • Page 15 Statistical Graphs and Calculations Chapter 7 The following describes the meaning of each of the parameters....... Mean of data Σ ....Sum of data Σ ....Sum of squares σ ....Population standard deviation σ ....Sample standard deviation ......
  • Page 16 Chapter 7 Statistical Graphs and Calculations • Performing a trace operation (!1 (TRCE)) while a pie chart is on the display causes the pointer to appear at the topmost segment. Pressing e and d moves the pointer to neighboring segments. •...
  • Page 17 Statistical Graphs and Calculations Chapter 7 • Only positive data can be included in a stacked bar chart. Attempting to draw a stacked bar chart for a list that includes negative data causes an error (Ma ER- ROR). • A stacked bar chart cannot be superimposed with another graph. •...
  • Page 18 Chapter 7 Statistical Graphs and Calculations Example To input the following data into List 1 and use it to draw a bar graph: 18.0, 13.5, 4.5, 31.5, 22.5 1(GRPH)[4(SET) 1(GPH1)c [[[[1(Bar)c 1(List1)Q 1(GRPH)1(GPH1) • A bar graph can have up to 14 data items. Attempting to draw a bar graph for a list that has more than 14 data items causes an error (Dim ERROR).
  • Page 19 Statistical Graphs and Calculations Chapter 7 • Pressing ! 1 (TRCE) while a line graph is on the display activates the trace operation. Use d and e to move the pointer. • You cannot draw multiple line graphs on the same screen. k k k k k Bar Graph and Line Graph P.101 From the statistical data list, press 1 (GRPH) to display the graph menu, press...
  • Page 20 Chapter 7 Statistical Graphs and Calculations 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.
  • Page 21 Statistical Graphs and Calculations Chapter 7 k k k k k Med-Med Graph P.105 When it is suspected that there are a number of extreme values, a Med-Med graph can be used in place of the least squares method. This is also a type of linear regres- sion, but it minimizes the effects of extreme values.
  • Page 22 Chapter 7 Statistical Graphs and Calculations The following are the meanings of the above parameters. a ..Regression second coefficient b ..Regression first coefficient c ..Regression constant term ( -intercept) k k k k k Logarithmic Regression Graph P.106 Logarithmic regression expresses as a logarithmic function of...
  • Page 23 Statistical Graphs and Calculations Chapter 7 4(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 P.106 Exponential regression expresses as a proportion of the power of .
  • Page 24 Chapter 7 Statistical Graphs and Calculations k k k k k Displaying Paired-Variable Statistical Results Paired-variable statistics can be expressed as both graphs and parameter values. P.106 When these graphs are displayed, the menu at the bottom of the screen appears as below.
  • Page 25 Statistical Graphs and Calculations Chapter 7 3 (COPY) ..Stores the displayed regression formula to the GRAPH Mode 4 (DRAW) ..Graphs the displayed regression formula 1. Press 3 (COPY) to copy the regression formula that produced the displayed data to the GRAPH Mode. 3(COPY) Note that you cannot edit regression formulas for graph formulas in the GRAPH Mode.
  • Page 26: Manual Graphing

    Chapter 7 Statistical Graphs and Calculations • The text at the top of the screen indicates the currently selected graph (StatGraph 1 = Graph 1, StatGraph 2 = Graph 2, StatGraph 3 = 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 27: Performing Statistical Calculations

    Statistical Graphs and Calculations Chapter 7 2(Man) Q(Returns to previous menu.) 1(GRPH)1(GPH1) Here we will illustrate this operation by making histogram settings for Graph 1. The following are the meanings of the items that appear in this screen. Strt ....Histogram start point ( -coordinate) ptch ....
  • Page 28 Chapter 7 Statistical Graphs and Calculations The following is the meaning for each item. 1VarX ....Specifies list where single-variable statistic values (XList) are located. 1VarF ....Specifies list where single-variable frequency values (Fre- quency) are located. 2VarX ....Specifies list where paired-variable statistic values (XList) are located.
  • Page 29 Statistical Graphs and Calculations Chapter 7 Now you can press f and c to view variable characteristics. For details on the meanings of these statistical values, see “Displaying Paired-Vari- P.118 able Statistical Results”. k k k k k Regression Calculation In the explanations from "Linear Regression Graph"...
  • Page 30 Chapter 7 Statistical Graphs and Calculations Example To perform power regression using the following data and estimate the values of when = 40 and = 1000 (List 1) (List 2) 2410 3033 3895 4491 5717 1. In the Main Menu, select the STAT icon and enter the STAT Mode. 2.

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