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Linear regression – HP 15c User Manual

Page 54

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54

Section 4: Statistics Functions

Example: Calculate the standard deviation about the mean calculated
above.

Keystrokes

Display

|S

31.62

Standard deviation about the mean nitrogen
application,

x.

®

1.24

Standard deviation about the mean grain
yield,

y.

Linear Regression

Linear regression is a statistical method for finding a straight line that best
fits a set of two or more data pairs, thus providing a relationship between
two or more data pairs, thus providing a relationship between two variables.
By the method of least squares, ´L will calculate the slope, A, and y-
intercept, B, of the linear equation:

y=Ax+B

1. Accumulate the statistics of your data using the z key.

2. Press ´L. The y-intercept, B, appears in the display (X-

register). The slope, A, is copied simultaneously into the Y-
register.

3. Press ® to view A. (As is the case with the functions ’

and S, L causes the stack to lift two registers if it's
enabled, one if not).

T

t

y

y

Z

z

x

y

Y

y

A

slope

B

y-intercept

X

x

B

y-intercept

A

slope

Keys:

´L

®

The slope and y-intercept of the least squares line of the accumulated data
are calculated using the equations shown in appendix A.