CASIO

Statistics Editor

Freq (Frequency) Column

Rules for Inputting Sample Data on the Statistics Editor

Data you input is inserted into the cell where the cursor is located. Use the cursor keys to move the cursor between cells.

After inputting a value, press . This registers the value and displays up to six of its digits in the currently selected cell.

Example 1: To input the value 1234 in cell X1

(Move the cursor to cell X1.)

• 1234
• 

• The value you input appears in the formula area.

• 
• 

• Registering a value causes the cursor to move down one cell.

Example 2: To select logarithmic regression and input the following data: (170, 66), (173, 68), (179, 75)

• (Select Type)(y=a+b･ln(x))
• 

• 170173179
  666875
• 

Statistics Editor Input Precautions

Precautions Concerning Sample Data Storage

Editing Sample Data

The statistical calculation screen is for performing statistical calculations with the data you input with the Statistics Editor. Pressing the key while the Statistics Editor is displayed switches to the statistical calculation screen.

While the Statistics Editor or statistical calculation screen is on the display, press to display the statistical menu.
The content to the statistical menu depends on whether the currently selected statistical operation type uses a single variable or paired variables.

Statistics Editor: Single-variable

Select this menu item:	When you want to do this:
(Select Type)	Display the statistical calculation type selection screen
(Editor)	Display the Editor sub-menu for editing Statistics Editor contents
(1-Variable Calc)	Display statistical values based on input data
(Statistics Calc)	Display the statistical calculation screen

Statistics Editor: Paired-variable

Select this menu item:	When you want to do this:
(Select Type)	Display the statistical calculation type selection screen
(Editor)	Display the Editor sub-menu for editing Statistics Editor contents
(2-Variable Calc)	Display statistical values based on input data
(Regression Calc)	Display regression calculation results based on input data
(Statistics Calc)	Display the statistical calculation screen

Statistical calculation screen: Single-variable

Select this menu item:	When you want to do this:
(Select Type)	Display the statistical calculation type selection screen
(1-Variable Calc)	Display statistical values based on input data
(Data)	Display the Statistics Editor
(Summation)	Display the Summation sub-menu of commands for calculating sums
(Variable)	Display the Variable sub-menu of commands for calculating the mean, standard deviation, etc.
(Min/Max)	Display the Min/Max sub-menu of commands for obtaining maximum and minimum values

Statistical calculation screen: Paired-variable

Select this menu item:	When you want to do this:
(Select Type)	Display the statistical calculation type selection screen
(2-Variable Calc)	Display statistical values based on input data
(Regression Calc)	Display regression calculation results based on input data
(Data)	Display the Statistics Editor
(Summation)	Display the Summation sub-menu of commands for calculating sums
(Variable)	Display the Variable sub-menu of commands for calculating the mean, standard deviation, etc.
(Min/Max)	Display the Min/Max sub-menu of commands for obtaining maximum and minimum values
(Regression)	Display the Regression sub-menu of commands for regression calculations

• From the Statistics Editor:
  (1-Variable Calc or 2-Variable Calc)
  From the statistical calculation screen:
  (1-Variable Calc or 2-Variable Calc)
• 

• From the Statistics Editor:
  (Regression Calc)
  From the statistical calculation screen:
  (Regression Calc)
• 

The following are the commands that appear on the sub-menus that appear when you select Summation, Variable, or Min/Max on the statistical menu while a single-variable statistical calculation type is selected.

The following is the calculation formula used for each command.

Summation Sub-menu ((Summation))

Select this menu item:	When you want to obtain this:
(Σx)	Sum of the sample data
(Σx2)	Sum of squares of the sample data

Variable Sub-menu ((Variable))

Select this menu item:	When you want to obtain this:
(x)	Mean of the sample data
(σ2x)	Population variance
(σx)	Population standard deviation
(s2x)	Sample variance
(sx)	Sample standard deviation
(n)	Number of items

Min/Max Sub-menu ((Min/Max))

Select this menu item:	When you want to obtain this:
(min(x))	Minimum value
(Q1)	First quartile
(Med)	Median
(Q3)	Third quartile
(max(x))	Maximum value

Select single-variable and input the following data: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} (Statistics: On)

• (Select Type)(1-Variable)
• 

• 12345678910
• 

Edit the data to the following, using insert and delete: {0, 1, 2, 3, 4, 5, 6, 7, 9, 10}

• (Data)
• 

• (Editor)
• 

• (Insert Row)
• 

Edit the Freq data to the following: {1, 2, 1, 2, 2, 2, 3, 4, 2, 1}

• (Data)
• 

• 2222342
• 

Display statistical values based on input data.

• (1-Variable Calc)
• 

Calculate sum of squares of the sample data and sum of the sample data.

• (Summation)
• 

• (Σx2)
• 

• (Summation)
  (Σx)
• 

Calculate number of samples, mean, and population standard deviation.

• (Variable)
• 

• (n)
• 

• (Variable)
  (x)
• 

• (Variable)
  (σx)
• 

Calculate minimum value and maximum value.

• (Min/Max)
• 

• (min(x))
• 

• (Min/Max)
  (max(x))
• 

With linear regression, regression is performed in accordance with the following model equation.

y = a + bx

The following is the calculation formula used for each command.

Summation Sub-menu ((Summation))

Select this menu item:	When you want to obtain this:
(Σx)	Sum of the x-data
(Σx2)	Sum of squares of the x-data
(Σy)	Sum of the y-data
(Σy2)	Sum of squares of the y-data
(Σxy)	Sum of products of the x-data and y-data
(Σx3)	Sum of cubes of the x-data
(Σx2y)	Sum of (x-data squares × y-data)
(Σx4)	Sum of biquadrate of the x-data

Variable Sub-menu ((Variable))

Select this menu item:	When you want to obtain this:
(x)	Mean of the x-data
(σ2x)	Population variance of the x-data
(σx)	Population standard deviation of the x-data
(s2x)	Sample variance of the x-data
(sx)	Sample standard deviation of the x-data
(n)	Number of items
(y)	Mean of the y-data
(σ2y)	Population variance of the y-data
(σy)	Population standard deviation of the y-data
(s2y)	Sample variance of the y-data
(sy)	Sample standard deviation of the y-data

Min/Max Sub-menu ((Min/Max))

Select this menu item:	When you want to obtain this:
(min(x))	Minimum value of the x-data
(max(x))	Maximum value of the x-data
(min(y))	Minimum value of the y-data
(max(y))	Maximum value of the y-data

Regression Sub-menu ((Regression))

Select this menu item:	When you want to obtain this:
(a)	Regression coefficient constant term a
(b)	Regression coefficient b
(r)	Correlation coefficient r
(xˆ)	Estimated value of x
(yˆ)	Estimated value of y

Select linear regression and input the following data (Statistics: Off)

• (Select Type)(y=a+bx)
• 

• 11.21.51.61.9
  2.12.42.52.73
• 

• 
  11.11.21.31.4
  1.51.61.71.82
• 

Display statistical values based on input data.

• (2-Variable Calc)
• 

Display regression calculation results based on input data.

• (Regression Calc)
• 

Calculate sum of products of the x-data and y-data, Population standard deviation of the x-data, and maximum value of the y-data.

• (Summation)
• 

• (Σxy)
• 

• (Variable)
• 

• (σx)
• 

• (Min/Max)
• 

• (max(y))
• 

Calculate regression coefficient constant term a, regression coefficient b, and correlation coefficient r.

• (Regression)
• 

• (a)
• 

• (Regression)
  (b)
• 

• (Regression)
  (r)
• 

Calculate estimated values.

(y=-3 → xˆ=?)

• 3(Regression)
• 

• (xˆ)
• 

(x=2 → yˆ=?)

• 2(Regression)
  (yˆ)
• 

With quadratic regression, regression is performed in accordance with the following model equation.

y = a + bx + cx2

The following is the calculation formula used for each command.

Summation Sub-menu, Variable Sub-menu, and Min/Max Sub-menu operations are the same those for linear regression calculations.

Regression Sub-menu ((Regression))

Select this menu item:	When you want to obtain this:
(a)	Regression coefficient constant term a
(b)	Linear coefficient b of the regression coefficients
(c)	Quadratic coefficient c of the regression coefficients
(xˆ1)	Estimated value of x1
(xˆ2)	Estimated value of x2
(yˆ)	Estimated value of y

Select quadratic regression and input the following data (Statistics: Off)

• (Select Type)(y=a+bx+cx2)
• 

• 11.21.51.61.9
  2.12.42.52.73
• 

• 
  11.11.21.31.4
  1.51.61.71.82
• 

Display statistical values based on input data.

• (2-Variable Calc)
• 

Display regression calculation results based on input data.

• (Regression Calc)
• 

Calculate regression coefficient constant term a, linear coefficient b, and quadratic coefficient c.

• (Regression)
• 

• (a)
• 

• (Regression)
  (b)
• 

• (Regression)
  (c)
• 

With logarithmic regression, regression is performed in accordance with the following model equation.

y = a + blnx

The following is the calculation formula used for each command.

Summation Sub-menu, Variable Sub-menu, Min/Max Sub-menu, and Regression Sub-menu operations are the same those for linear regression calculations.

Select logarithmic regression and input the following data (Statistics: Off)

• (Select Type)(y=a+b･ln(x))
• 

• 295074103118
• 

• 
  1.623.53846.448.9
• 

Display statistical values based on input data.

• (2-Variable Calc)
• 

Display regression calculation results based on input data.

• (Regression Calc)
• 

Calculate regression coefficient constant term a, regression coefficient b, and correlation coefficient r.

• (Regression)
• 

• (a)
• 

• (Regression)
  (b)
• 

• (Regression)
  (r)
• 

Calculate estimated values.

(y=73 → xˆ=?)

• 73(Regression)
• 

• (xˆ)
• 

(x=80 → yˆ=?)

• 80(Regression)
  (yˆ)
• 

With e exponential regression, regression is performed in accordance with the following model equation.

y = aebx

The following is the calculation formula used for each command.

Summation Sub-menu, Variable Sub-menu, Min/Max Sub-menu, and Regression Sub-menu operations are the same those for linear regression calculations.

Select e exponential regression and input the following data (Statistics: Off)

• (Select Type)(y=a･e^(bx))
• 

• 6.912.919.826.735.1
• 

• 
  21.415.712.18.55.2
• 

Display statistical values based on input data.

• (2-Variable Calc)
• 

Display regression calculation results based on input data.

• (Regression Calc)
• 

Calculate regression coefficient constant term a, regression coefficient b, and correlation coefficient r.

• (Regression)
• 

• (a)
• 

• (Regression)
  (b)
• 

• (Regression)
  (r)
• 

Calculate estimated values.

(y=20 → xˆ=?)

• 20(Regression)
• 

• (xˆ)
• 

(x=16 → yˆ=?)

• 16(Regression)
  (yˆ)
• 

With ab exponential regression, regression is performed in accordance with the following model equation.

y = abx

The following is the calculation formula used for each command.

Summation Sub-menu, Variable Sub-menu, Min/Max Sub-menu, and Regression Sub-menu operations are the same those for linear regression calculations.

Select ab exponential regression and input the following data (Statistics: Off)

• (Select Type)(y=a･b^x)
• 

• 13510
• 

• 
  0.24416.2513
• 

Display statistical values based on input data.

• (2-Variable Calc)
• 

Display regression calculation results based on input data.

• (Regression Calc)
• 

Calculate regression coefficient constant term a, regression coefficient b, and correlation coefficient r.

• (Regression)
• 

• (a)
• 

• (Regression)
  (b)
• 

• (Regression)
  (r)
• 

Calculate estimated values.

(y=1.02 → xˆ=?)

• 1.02(Regression)
• 

• (xˆ)
• 

(x=15 → yˆ=?)

• 15(Regression)
  (yˆ)
• 

With power regression, regression is performed in accordance with the following model equation.

y = axb

The following is the calculation formula used for each command.

Summation Sub-menu, Variable Sub-menu, Min/Max Sub-menu, and Regression Sub-menu operations are the same those for linear regression calculations.

Select power regression and input the following data (Statistics: Off)

• (Select Type)(y=a･x^b)
• 

• 2830333538
• 

• 
  24103033389544915717
• 

Display statistical values based on input data.

• (2-Variable Calc)
• 

Display regression calculation results based on input data.

• (Regression Calc)
• 

Calculate regression coefficient constant term a, regression coefficient b, and correlation coefficient r.

• (Regression)
• 

• (a)
• 

• (Regression)
  (b)
• 

• (Regression)
  (r)
• 

Calculate estimated values.

(y=1000 → xˆ=?)

• 1000(Regression)
• 

• (xˆ)
• 

(x=40 → yˆ=?)

• 40(Regression)
  (yˆ)
• 

With inverse regression, regression is performed in accordance with the following model equation.

y = a + ^b_x

The following is the calculation formula used for each command.

Summation Sub-menu, Variable Sub-menu, Min/Max Sub-menu, and Regression Sub-menu operations are the same those for linear regression calculations.

Select inverse regression and input the following data (Statistics: Off)

• (Select Type)(y=a+b/x)
• 

• 1.12.12.944.9
• 

• 
  18.39.76.84.94.1
• 

Display statistical values based on input data.

• (2-Variable Calc)
• 

Display regression calculation results based on input data.

• (Regression Calc)
• 

Calculate regression coefficient constant term a, regression coefficient b, and correlation coefficient r.

• (Regression)
• 

• (a)
• 

• (Regression)
  (b)
• 

• (Regression)
  (r)
• 

Calculate estimated values.

(y=15 → xˆ=?)

• 15(Regression)
• 

• (xˆ)
• 

(x=3.5 → yˆ=?)

• 3.5(Regression)
  (yˆ)
•