Square Root Linear Regression
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07-16-2017, 11:40 PM
Post: #1
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Square Root Linear Regression
The program SQLINREG attempts to fit data to the curve:
Y = √(A + B*X) We can use the linear transformation: y^2 = a + b*x This allows us to enter each data point as (x, y^2) and execute the linear regression function. The HP Prime version uses the LSQ function. Both the Casio fx-CG50 and TI-84 Plus CE versions give the correlation, r. Code:
Example: x y y^2 0.9 2.40 5.76 1.3 2.68 7.1824 1.8 3.03 9.1809 2.4 3.39 11.4921 3.6 4.05 16.4025 5.2 4.77 22.7529 6.1 5.14 26.4196 Results: A = 2.03165434 B = 3.989146461 Equation: y = √(2.03165434 + 3.98914641*x) Predicted Values: y(2) = 3.163850053 y(4) = 4.241254529 |
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