# Casio fx-7400G Manual

7. statistical graphs and calculations

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

#### Summary of Contents for Casio fx-7400G

• 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: Before Performing Statistical Calculations

Statistical Graphs and Calculations Chapter 7 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 Statistical Graphs and Calculations Chapter 7 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 Statistical Graphs and Calculations Chapter 7 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 (bar graph) 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) ..
• Page 8 Statistical Graphs and Calculations Chapter 7 u u u u u To select the -axis data list (YList) 1. While the graph settings screen is on the display, use f and c to move the highlighting to the YList item. 2.
• Page 9 Statistical Graphs and Calculations Chapter 7 1 (List4) ..List 4 data is frequency data. 2 (List5) ..List 5 data is frequency data. 3 (List6) ..List 6 data is frequency data. Press [ to return to the previous menu. u u u u u To select the plot mark type (M-Type) 1.
• Page 10 Statistical Graphs and Calculations Chapter 7 1 (Log) ..Logarithmic regression graph 2 (Exp) ..Exponential regression graph 3 (Pwr) ..Power regression graph 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 11: Calculating And Graphing Single-Variable Statistical Data

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) P.101 For details on the meanings of function menu items at the bottom of the display, see “Selecting the Regression Type”.
• Page 12 Statistical Graphs and Calculations Chapter 7 k k k k k Normal Distribution Curve The normal distribution curve is graphed using the following normal distribution func- tion. ( x–x ) – (2 ) x The distribution of characteristics of items manufactured according to some fixed P.99 standard (such as component length) fall within normal distribution.
• ### Page 13: Calculating And Graphing Paired-Variable Statistical Data

Statistical Graphs and Calculations Chapter 7 The following describes the meaning of each of the parameters...... Mean of data ....Sum of data ....Sum of squares ....Population standard deviation ....Sample standard deviation ..... Number of data items minX ....
• Page 14 Statistical Graphs and Calculations Chapter 7 The following are the meanings of the above parameters. a ..Regression coefficient (slope) b ..Regression constant term (intercept) r ..Correlation coefficient k k k k k Med-Med Graph When it is suspected that there are a number of extreme values, a Med-Med graph P.99 can be used in place of the least squares method.
• Page 15 Statistical Graphs and Calculations Chapter 7 4(DRAW) 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 Logarithmic regression expresses as a logarithmic function of .
• Page 16 Statistical Graphs and Calculations Chapter 7 [2(Exp) 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 Exponential regression expresses as a proportion of the power of .
• Page 17 Statistical Graphs and Calculations Chapter 7 The following are the meanings of the above parameters. a ..Regression coefficient b ..Regression power r ..Correlation coefficient k k k k k Displaying Paired-Variable Statistical Results P.102 Paired-variable statistics can be expressed as both graphs and parameter values. (G-Type) When these graphs are displayed, the menu at the bottom of the screen appears as below.
• Page 18 Statistical Graphs and Calculations Chapter 7 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 19: Manual Graphing

Statistical Graphs and Calculations Chapter 7 4(DRAW) 1(X) P.101 • The text at the top of the screen indicates the currently selected graph (STAT Graph 1 = Graph 1, STAT Graph 2 = Graph 2, STAT Graph 3 = Graph 3). 1.
• Page 20 Statistical Graphs and Calculations Chapter 7 While the statistical data list is on the display, perform the following procedure. 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....
• ### Page 21: Performing Statistical Calculations

Statistical Graphs and Calculations Chapter 7 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 22 Statistical Graphs and Calculations Chapter 7 k k k k k Paired-Variable Statistical Calculations In the previous examples from “Linear Regression Graph” to “Power Regression Graph,” statistical calculation results were displayed after the scatter diagram was drawn. These were numeric expressions of the characteristics of variables used in the graphic display.
• Page 23 Statistical Graphs and Calculations Chapter 7 k k k k k Estimated Value Calculation ( , ) After drawing a regression graph with the STAT Mode, you can use the RUN Mode to calculate estimated values for the regression graph's parameters.
• Page 24 Statistical Graphs and Calculations Chapter 7 The estimated value is displayed for = 40. baaa(value of 1( )w The estimated value is displayed for = 1000.