The position of the graphically represented keys can be found by moving your mouse on top of the graphic. 
I am counting every row as a row, even the top keys all labeled ^. For clarity, I will refer to the leftmost key as f1, the next as f2, all the way over to the rightmost key f6.

Turn your calculator on
Press The CLR Key: Row 7, Column 1. You should see the word ON below the key.
Clearing the memory
Press The Shift Key (Yellow): Row 6, Column 1 The Input Key: Row 3, Column 1: The key is blue, unlike the others. (the key says CLRDATA on the bottom) The f1 Key: (labeled ^) Row 1, Column 1 (for YES)

 

Entering data
one variable
Press The f3 Key: (labeled ^) Row 1, Column 3 (SUM) You will see Item(1)? on the screen. Enter the first value in your list and press The Input Key: Row 3, Column 1: The key is blue, unlike the others.. You'll now see Item(2)? on the screen. Enter the second number and press The Input Key: Row 3, Column 1: The key is blue, unlike the others.. Continue until you're finished with the list. Finally, press The Exit Key: Row 2, Column 6.
two variables
Press The f3 Key: (labeled ^) Row 1, Column 3 (SUM) The f1 Key: (labeled ^) Row 1, Column 1 (CALC) The f6 Key: (labeled ^) Row 1, Column 6 (MORE) The f4 Key: (labeled ^) Row 1, Column 4 (FRCST, that is, forecast) The f1 Key: (labeled ^) Row 1, Column 1 (x-list) enter the x-values, pressing The Input Key: Row 3, Column 1: The key is blue, unlike the others. after each. Then press The f2 Key: (labeled ^) Row 1, Column 2 (y-list) and enter the y-values, pressing The Input Key: Row 3, Column 1: The key is blue, unlike the others. after each. Finally, press The Exit Key: Row 2, Column 6.

Note: If you want to calculate the population standard deviation, don't press The Exit Key: Row 2, Column 6, because you're going to add another number to the list.

 

Calculating one-variable statistics

These instructions assume you have just finished entering the data.
mean (x)
Press The f1 Key: (labeled ^) Row 1, Column 1 (CALC) The f2 Key: (labeled ^) Row 1, Column 2 (MEAN).
standard deviation for populations (s or sn)
Press The f1 Key: (labeled ^) Row 1, Column 1 (CALC) The f2 Key: (labeled ^) Row 1, Column 2 (MEAN) The Input Key: Row 3, Column 1: The key is blue, unlike the others. The Exit Key: Row 2, Column 6 (to get back to the right menu) The f1 Key: (labeled ^) Row 1, Column 1 (CALC) The f4 Key: (labeled ^) Row 1, Column 4 (STDEV).
standard deviation for samples (s or sn-1)
Press The f1 Key: (labeled ^) Row 1, Column 1 (CALC) The f4 Key: (labeled ^) Row 1, Column 4 (STDEV).

Calculating two-variable statistics
r (correlation)
Press The f1 Key: (labeled ^) Row 1, Column 1 (CALC) The f6 Key: (labeled ^) Row 1, Column 6 (MORE) The f4 Key: (labeled ^) Row 1, Column 4 (FRCST) The f3 Key: (labeled ^) Row 1, Column 3 (CORR)
regression coefficients
slope
Press The f1 Key: (labeled ^) Row 1, Column 1 (CALC) The f6 Key: (labeled ^) Row 1, Column 6 (MORE) The f4 Key: (labeled ^) Row 1, Column 4 (FRCST) The f4 Key: (labeled ^) Row 1, Column 4 (M)
y-intercept
Press The f1 Key: (labeled ^) Row 1, Column 1 (CALC) The f6 Key: (labeled ^) Row 1, Column 6 (MORE) The f4 Key: (labeled ^) Row 1, Column 4 (FRCST)The f5 Key: (labeled ^) Row 1, Column 5 (B)


Calculating combinations and permutations

The HP 17bii does not have nCr or nPr commands. However, we can fudge it using the factorial function N!
combinations (nCr)
Enter n. Press The Shift Key (Yellow): Row 6, Column 1 The Percent Key: Row 1, Column 3 (MATH appears in yellow on the bottom half of the key; the menu on the screen changes.) The f5 Key: (labeled ^) Row 1, Column 5. Press The Divided By Key: Row 4, Column 5. Enter r and press The Shift Key (Yellow): Row 6, Column 1 The Percent Key: Row 1, Column 3 (MATH) The f5 Key: (labeled ^) Row 1, Column 5 The Equals Key: Row 7, Column 4. Press The Divided By Key: Row 4, Column 5 and enter the difference between n and r. Press The Shift Key (Yellow): Row 6, Column 1 The Percent Key: Row 1, Column 3 (MATH) The f5 Key: (labeled ^) Row 1, Column 5 The Equals Key: Row 7, Column 4.
permutations (nPr)
Enter n. Press The Shift Key (Yellow): Row 6, Column 1 The Percent Key: Row 1, Column 3 (MATH appears in yellow on the bottom half of the key; the menu on the screen changes.) The f5 Key: (labeled ^) Row 1, Column 5. Press The Divided By Key: Row 4, Column 5. Enter the difference between n and r and press The Shift Key (Yellow): Row 6, Column 1 The Percent Key: Row 1, Column 3 (MATH) The f5 Key: (labeled ^) Row 1, Column 5 The Equals Key: Row 7, Column 4.

 

Turning the calculator off
Press The Shift Key (Yellow): Row 6, Column 1 The CLR Key: Row 7, Column 1 (you should see off in yellow on the lower half of the key.)

 

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  The Shift Key (Yellow): Row 6, Column 1 The Input Key: Row 3, Column 1: The key is blue, unlike the others. (CLRDATA) The f1 Key: (labeled ^) Row 1, Column 1 (YES)
2: Enter Data   The f3 Key: (labeled ^) Row 1, Column 3 (SUM) The One Key: Row 6, Column 2 The Five Key: Row 5, Column 3 The Input Key: Row 3, Column 1: The key is blue, unlike the others. The One Key: Row 6, Column 2 The Six Key: Row 5, Column 4 The Input Key: Row 3, Column 1: The key is blue, unlike the others. The Tow Key: Row 6, Column 3 The Zero Key: Row 7, Column 2 The Input Key: Row 3, Column 1: The key is blue, unlike the others. The Tow Key: Row 6, Column 3 The One Key: Row 6, Column 2 The Input Key: Row 3, Column 1: The key is blue, unlike the others. The Exit Key: Row 2, Column 6
3: Compute the mean  The f1 Key: (labeled ^) Row 1, Column 1 (CALC) The f2 Key: (labeled ^) Row 1, Column 2 (MEAN)
4: Compute the population standard deviation  The f1 Key: (labeled ^) Row 1, Column 1 (CALC) The f2 Key: (labeled ^) Row 1, Column 2 (MEAN) The Input Key: Row 3, Column 1: The key is blue, unlike the others. The Exit Key: Row 2, Column 6 The f1 Key: (labeled ^) Row 1, Column 1 (CALC) The f4 Key: (labeled ^) Row 1, Column 4 (STDEV)
5: Compute the sample standard deviation  The f1 Key: (labeled ^) Row 1, Column 1 (CALC) The f4 Key: (labeled ^) Row 1, Column 4 (STDEV)


    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  The Shift Key (Yellow): Row 6, Column 1 The Input Key: Row 3, Column 1: The key is blue, unlike the others. ( CLRDATA) The f1 Key: (labeled ^) Row 1, Column 1 ( YES)
2: Enter Data   The f3 Key: (labeled ^) Row 1, Column 3 (SUM) The f1 Key: (labeled ^) Row 1, Column 1 (CALC) The f6 Key: (labeled ^) Row 1, Column 6 (MORE) The f4 Key: (labeled ^) Row 1, Column 4 (FRCST) The f1 Key: (labeled ^) Row 1, Column 1 (x-list) The One Key: Row 6, Column 2 The Input Key: Row 3, Column 1: The key is blue, unlike the others. The Tow Key: Row 6, Column 3 The Input Key: Row 3, Column 1: The key is blue, unlike the others. The Three Key: Row 6, Column 4 The Input Key: Row 3, Column 1: The key is blue, unlike the others. The Four Key: Row 5, Column 2 The Input Key: Row 3, Column 1: The key is blue, unlike the others. The f2 Key: (labeled ^) Row 1, Column 2 (y-list)The Tow Key: Row 6, Column 3 The Input Key: Row 3, Column 1: The key is blue, unlike the others. The Four Key: Row 5, Column 2 The Input Key: Row 3, Column 1: The key is blue, unlike the others. The Five Key: Row 5, Column 3 The Input Key: Row 3, Column 1: The key is blue, unlike the others. The Seven Key: Row 4, Column 2 The Input Key: Row 3, Column 1: The key is blue, unlike the others. The Exit Key: Row 2, Column 6
3: Compute the slope of the regression line  The f1 Key: (labeled ^) Row 1, Column 1 (CALC) The f6 Key: (labeled ^) Row 1, Column 6 (MORE) The f4 Key: (labeled ^) Row 1, Column 4 (FRCST) The f4 Key: (labeled ^) Row 1, Column 4 (M)
4: Compute the y-intercept of the regression line  The f1 Key: (labeled ^) Row 1, Column 1 (CALC) The f6 Key: (labeled ^) Row 1, Column 6 (MORE) The f4 Key: (labeled ^) Row 1, Column 4 (FRCST)The f5 Key: (labeled ^) Row 1, Column 5 (B)
5: Compute the correlation  The f1 Key: (labeled ^) Row 1, Column 1 (CALC) The f6 Key: (labeled ^) Row 1, Column 6 (MORE) The f4 Key: (labeled ^) Row 1, Column 4 (FRCST) The f3 Key: (labeled ^) Row 1, Column 3 (CORR)


    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 6, Column 2 The Zero Key: Row 7, Column 2 The Shift Key (Yellow): Row 6, Column 1 The Percent Key: Row 1, Column 3 (MATH) The f5 Key: (labeled ^) Row 1, Column 5 (N!) The Divided By Key: Row 4, Column 5 The Six Key: Row 5, Column 4 The Shift Key (Yellow): Row 6, Column 1 The Percent Key: Row 1, Column 3 (MATH) The f5 Key: (labeled ^) Row 1, Column 5 (N!) The Equals Key: Row 7, Column 4 The Divided By Key: Row 4, Column 5 The Four Key: Row 5, Column 2 (10 - 6 is 4) The Shift Key (Yellow): Row 6, Column 1 The Percent Key: Row 1, Column 3 (MATH) The f5 Key: (labeled ^) Row 1, Column 5 (N!) The Equals Key: Row 7, Column 4
2: Compute 9P5  The Nine Key: Row 4, Column 4 The Shift Key (Yellow): Row 6, Column 1 The Percent Key: Row 1, Column 3 (MATH) The f5 Key: (labeled ^) Row 1, Column 5 (N!) The Divided By Key: Row 4, Column 5 The Four Key: Row 5, Column 2 (9 - 5 is 4) The Shift Key (Yellow): Row 6, Column 1 The Percent Key: Row 1, Column 3 (MATH) The f5 Key: (labeled ^) Row 1, Column 5 (N!) The Equals Key: Row 7, Column 4


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

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