HP 15c - Manual (Page 107)

Section 4: Using Matrix Operations 107
Now run the program. For example, choose the values n = 11 and a = 0.05. The suggested
initial guesses are x
1
(0)
= 3.25 and x
2
(0)
= 20.5. Remember that the display format affects the
uncertainty of the integral calculation.
Keystrokes Display
|¥ Run mode.
5
´m% 5.0000 Reserves R
0
through R
5
.
11 O2 11.0000 Stores n in R
2
.
.05
O3 0.0500 Stores a in R
3
.
2
v1 1
´mA 1.0000 Dimensions A to 2 × 1.
´U 1.0000 Activates User mode.
´>1 1.0000
3.25 OA 3.2500
Stores ) 0 (
1
x from chi-square
distribution.
20.5
OA 20.5000
Stores ) 0 (
2
x from chi-square
distribution.
´i4 2.0500 01 Sets display format.
A 1.1677 00 Displays norm of f(x
(0)
).
) 1.0980 00 Displays norm of correction d
(0)
.
lA 3.5519 00
Recalls
) 1 (
1
x .
lA 2.1556 01
Recalls ) 1 (
2
x .
By repeating the last four steps, you will obtain these results:
k ||f(x)
(k)
)||
F
||d
(k)
)||
F
) 1 (
1
 k x ) 1 (
2
 k x
3.2500 20.500
0 1.168 1.098 3.5519 21.556
1 1.105Ч10
−1
1.740Ч10
−1
3.5169 21.726
2 1.918Ч10
−3
2.853Ч10
−3
3.5162 21.729
3 6.021Ч10
−7
9.542Ч10
−7
3.5162 21.729
This accuracy is sufficient for constructing the statistical test. (Press ´•4 to reset the
display format and ´U to deactivate User mode.)