T I 36 2 Title

The position of the graphically represented keys can be found by moving your mouse on top of the graphic. 

Turn your calculator on
Press The ON Key: Row 9 Column 1.
Clearing the memory
To clear data while not in stat mode: Press The Second Key: Row 1, Column 1 . To clear data while in stat mode: Press The Second Key: Row 1, Column 1 (STAT is written above the key.) Press The Right Arrow Key: Upper right hand corner five times. The cursor should underline CLRDATA. Press The Equals Key: Row 9, Column 5 (Has enter above the equals sign).

 

Entering data
one variable
Press The Second Key: Row 1, Column 1 . You will see a row of options: 1-VAR LIN LN ... The cursor should underline 1-VAR. Press The Equals Key: Row 9, Column 5 (Has enter above the equals sign). Enter the first value. Press The Down Arrow: Upper right hand part of calculator The Down Arrow: Upper right hand part of calculator. (Yes, twice. The second number is for frequency. If you wanted to enter the number five 10 times, you would type 10 before the second down arrow.) Enter the second value in your list and press The Down Arrow: Upper right hand part of calculator The Down Arrow: Upper right hand part of calculator. Continue until you're done with your list.
two variables
Press The Second Key: Row 1, Column 1 . You will see a row of options: 1-VAR LIN LN ... Press The Right Arrow Key: Upper right hand corner so the cursor underlines LIN (for linear regression). Press The Equals Key: Row 9, Column 5 (Has enter above the equals sign). Enter the first x-value and press The Down Arrow: Upper right hand part of calculator. Enter the first y-value and press The Down Arrow: Upper right hand part of calculator. Continue in the same manner for the other ordered pairs. 

 

Calculating one-variable statistics
mean (x)
Press . You will see a row of options: n x Sx sx Sx ... Press The Right Arrow Key: Upper right hand corner so that x is underlined. The mean should appear on the screen.
standard deviation for populations (s or sn)
Press . You will see a row of options: n x Sx sx Sx ... Press The Right Arrow Key: Upper right hand corner The Right Arrow Key: Upper right hand corner The Right Arrow Key: Upper right hand corner so that sx is underlined. The population standard deviation should appear on the screen.
standard deviation for samples (s or sn-1)
Press . You will see a row of options: n x Sx sx Sx ... Press The Right Arrow Key: Upper right hand corner The Right Arrow Key: Upper right hand corner so that Sx is underlined. The sample standard deviation should appear on the screen.

Calculating two-variable statistics

r (correlation)
Press . You will see a row of options: n x Sx sx Sx ... Press The Left Arrow Key: upper right hand part of calculator The Left Arrow Key: upper right hand part of calculator The Left Arrow Key: upper right hand part of calculator so that r is underlined. The correlation should appear on the screen. (You can also press The Right Arrow Key: Upper right hand corner nine times to reach r.)
regression coefficients
slope
Press . You will see a row of options: n x Sx sx Sx ... Press The Left Arrow Key: upper right hand part of calculator The Left Arrow Key: upper right hand part of calculator The Left Arrow Key: upper right hand part of calculator The Left Arrow Key: upper right hand part of calculator so that b is underlined. The slope should appear on the screen. (You can also press The Right Arrow Key: Upper right hand corner eight times to reach b.)
y-intercept
Press . You will see a row of options: n x Sx sx Sx ... Press The Left Arrow Key: upper right hand part of calculator The Left Arrow Key: upper right hand part of calculator The Left Arrow Key: upper right hand part of calculator The Left Arrow Key: upper right hand part of calculator The Left Arrow Key: upper right hand part of calculator so that a is underlined. The sample standard deviation should appear on the screen. (You can also press The Right Arrow Key: Upper right hand corner seven times to reach a.)


Calculating combinations and permutations
combinations (nCr)
Enter n. Press The Second Key: Row 1, Column 1 The Right Parenthesis Key: Row 5, Column 4 (you should see PRB above the key).  You will see a row of options: nPr  nCr  ! ...Press The Right Arrow Key: Upper right hand corner (so nCr is underlined). Enter r. Press The Equals Key: Row 9, Column 5 (Has enter above the equals sign).
permutations (nPr)
Enter n. Press The Second Key: Row 1, Column 1 The Right Parenthesis Key: Row 5, Column 4 (you should see PRB above the key).  You will see a row of options: nPr  nCr  ! ... (nPr should be underlined). Enter r. Press The Equals Key: Row 9, Column 5 (Has enter above the equals sign).

 

Turning the calculator off
Press The Second Key: Row 1, Column 1 The ON Key: Row 9 Column 1.

 

Worked Out Examples

In the following examples, we list the exact key sequence used to find the answer.  We will list the keys by the main symbol on the key.  In parentheses, we will list a helpful mnemonic, e.g. we will list ex as (ex).


A: What is the mean and standard deviation of the following list of numbers?

15      16      20      21

1: Clear Memory  Not in stat mode: The Second Key: Row 1, Column 1   
 In stat mode:The Second Key: Row 1, Column 1 The Right Arrow Key: Upper right hand corner The Right Arrow Key: Upper right hand corner The Right Arrow Key: Upper right hand corner The Right Arrow Key: Upper right hand corner The Right Arrow Key: Upper right hand corner (CLRDATA) The Equals Key: Row 9, Column 5 (Has enter above the equals sign)
2: Enter Data  The Second Key: Row 1, Column 1 (1-VAR) The Equals Key: Row 9, Column 5 (Has enter above the equals sign) The One Key: Row 8, Column 2   The row dips a little The Five Key: Row 7, Column 3   The row dips a little. The Down Arrow: Upper right hand part of calculator The Down Arrow: Upper right hand part of calculator The One Key: Row 8, Column 2   The row dips a little The Six Key: Row 7, Column 4  The row dips a little. The Down Arrow: Upper right hand part of calculator The Down Arrow: Upper right hand part of calculator The Two Key: Row 8, Column 3  The row dips a little. The Zero Key: Row 9, Column 2   The row dips a little. The Down Arrow: Upper right hand part of calculator The Down Arrow: Upper right hand part of calculator The Two Key: Row 8, Column 3  The row dips a little. The One Key: Row 8, Column 2   The row dips a little The Down Arrow: Upper right hand part of calculator The Down Arrow: Upper right hand part of calculator
3: Compute the mean   The Right Arrow Key: Upper right hand corner (x
4: Compute the population standard deviation   The Right Arrow Key: Upper right hand corner The Right Arrow Key: Upper right hand corner The Right Arrow Key: Upper right hand corner (sx)
5: Compute the sample standard deviation   The Right Arrow Key: Upper right hand corner The Right Arrow Key: Upper right hand corner (Sx)


    You should get a mean of 18, population standard deviation of 2.549509757 and a sample standard deviation of 2.943920289.

B: Find the linear regression line for the following table of numbers.  Also find the correlation.

x 1 2 3 4
y 2 4 5 7

1: Clear Memory  Not in stat mode: The Second Key: Row 1, Column 1   
 In stat mode:The Second Key: Row 1, Column 1 The Right Arrow Key: Upper right hand corner The Right Arrow Key: Upper right hand corner The Right Arrow Key: Upper right hand corner The Right Arrow Key: Upper right hand corner The Right Arrow Key: Upper right hand corner (CLRDATA) The Equals Key: Row 9, Column 5 (Has enter above the equals sign)
2: Enter Data  The Second Key: Row 1, Column 1 The Right Arrow Key: Upper right hand corner (LIN) The Equals Key: Row 9, Column 5 (Has enter above the equals sign) The One Key: Row 8, Column 2   The row dips a little The Down Arrow: Upper right hand part of calculator The Two Key: Row 8, Column 3  The row dips a little. The Down Arrow: Upper right hand part of calculator The Two Key: Row 8, Column 3  The row dips a little. The Down Arrow: Upper right hand part of calculator The Four Key: Row 7, Column 2  The row dips a little. The Down Arrow: Upper right hand part of calculator The Three Key: Row 8, Column 4   The row dips a little. The Down Arrow: Upper right hand part of calculator The Five Key: Row 7, Column 3   The row dips a little. The Down Arrow: Upper right hand part of calculator The Four Key: Row 7, Column 2  The row dips a little. The Down Arrow: Upper right hand part of calculator The Seven Key: Row 6, Column 2  The row dips a little. The Down Arrow: Upper right hand part of calculator
3: Compute the slope of the regression line   The Left Arrow Key: upper right hand part of calculator The Left Arrow Key: upper right hand part of calculator The Left Arrow Key: upper right hand part of calculator The Left Arrow Key: upper right hand part of calculator (b)
4: Compute the y-intercept of the regression line   The Left Arrow Key: upper right hand part of calculator The Left Arrow Key: upper right hand part of calculator The Left Arrow Key: upper right hand part of calculator The Left Arrow Key: upper right hand part of calculator The Left Arrow Key: upper right hand part of calculator (a)
5: Compute the correlation   The Left Arrow Key: upper right hand part of calculator The Left Arrow Key: upper right hand part of calculator The Left Arrow Key: upper right hand part of calculator (r)


    You should get a slope of 1.6, a y-intercept of 0.5, and a correlation of 0.992277876.
    The regression line would be: y = 1.6x + 0.5.

C: Find 10C6 and 9P5.
1:Compute 10C6

 The One Key: Row 8, Column 2   The row dips a little The Zero Key: Row 9, Column 2   The row dips a little. The Second Key: Row 1, Column 1 The Right Parenthesis Key: Row 5, Column 4 (PRB) The Right Arrow Key: Upper right hand corner (nCr)The Six Key: Row 7, Column 4  The row dips a little. The Equals Key: Row 9, Column 5 (Has enter above the equals sign)

2: Compute 9P5  The Nine Key: Row 6, Column 4   The row dips a little. The Second Key: Row 1, Column 1 The Right Parenthesis Key: Row 5, Column 4 (PRB) (nPr) The Five Key: Row 7, Column 3   The row dips a little. The Equals Key: Row 9, Column 5 (Has enter above the equals sign)


You should get 10C6 = 210 and 9P5= 15120.

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