HP 35s HP 35s scientific calculator - User Guide - Page 257
Normal and Inverse-Normal Distributions, Statistics Programs, Logarithmic, Exponential, Power
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Calculates regression coefficient B. Calculates regression coefficient M. Prompts for hypothetical x-value. Stores 37 in X and calculates yˆ . Stores 101 in Y and calculates xˆ. 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 ( yˆ when X=37) X ( xˆ when Y=101) Logarithmic Exponential Power L E P 0.9965 0.9945 0.9959 -139.0088 51.1312 8.9730 65.8446 0.0177 0.6640 98.7508 98.5870 98.6845 38.2857 38.3628 38.3151 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. Statistics Programs 16-11