[HP-12C] Angular coefficent from linear regression off by 1
01-21-2019, 08:10 PM
Post: #31
 Dieter Senior Member Posts: 2,397 Joined: Dec 2013
RE: [HP-12C] Angular coefficent from linear regression off by 1
(01-19-2019 05:36 PM)Albert Chan Wrote:  Manual suggested method, slope = f(1) - f(0), may lose *many* significant digits, due to subtraction cancellation.

OK, then let's combine a manual calculation from the stored sums for the slope and the 0 y^ method for the intercept. The latter should be exact by design as the calculator evaluates 0*slope + intercept. I assume this calculation is even done with the internal extended precision.

Which leads to this program:

Code:
RCL 1 RCL 6 x RCL 2 RCL 4 x - RCL 1 RCL 3 x RCL 2 ENTER x - ÷ 0 y^, r X<>Y ENTER R↓ R↓ GTO 00

On exit the stack holds all relevant data:

T: r
Z: r
Y: slope
X: intercept

You may replace the last ENTER with RCL 1 X<>Y, so that T finally holds the number of data points.

Dieter
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