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Normal And Inverse-normal Distributions - HP 35s User Manual

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Example 2:
Repeat example 1 (using the same data) for logarithmic, exponential, and power
curve fits. The table below gives you the starting execution label and the results (the
correlation and regression coefficients and the x– and y– estimates) for each type of
curve. You will need to reenter the data values each time you run the program for a
different curve fit.
To start:
R
B
M
y ˆ
Y (
when X=37)
x ˆ
X (
when Y=101)
Normal and Inverse–Normal Distributions
Normal distribution is frequently used to model the behavior of random variation
about a mean. This model assumes that the sample distribution is symmetric about
the mean, M, with a standard deviation, S, and approximates the shape of the bell–
shaped curve shown below. Given a value x, this program calculates the probability
that a random selection from the sample data will have a higher value. This is
known as the upper tail area, Q(x). This program also provides the inverse: given a
value Q(x), the program calculates the corresponding value x.










Logarithmic
L E P
0.9965
–139.0088
65.8446
98.7508
38.2857
Calculates regression coefficient B.
Calculates regression coefficient M.
Prompts for hypothetical x–value.
Stores 37 in X and calculates
Stores 101 in Y and calculates
Exponential
0.9945
51.1312
0.0177
98.5870
38.3628
Statistics Programs
y ˆ
.
x ˆ
.
Power
0.9959
8.9730
0.6640
98.6845
38.3151
16-11

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