HP 300s Scientific Calculator - Manual (Page 62)

56
= A + Bx + Cx 2
Reg Sub-menu (  (STAT)  (Reg))
Sum sub-menu (sums), Var sum-menu (number of samples,
mean, standard deviation), and MinMax sub-menu (maximum
value, minimum value) operations are the same those for
linear regression calculations.
Quadratic Regression Calculation
For example:
All the data used as the following table:
Select this menu item: When you want to obtain this:
 A Regression coefficient constant term A
 B Linear coefficient B of the regression
coefficients
 C Quadratic coefficient C of the regression
coefficients
 Estimated value of x1
 Estimated value of x2
 Estimated value of y
x y x y
1.0 1.0 2.1 1.5
1.2 1.1 2.4 1.6
1.5 1.2 2.5 1.7
1.6 1.3 2.7 1.8
1.9 1.4 3.0 2.0
Sx 2 x 2 x  4
x 2  ( )
2
n
------------------ – =
Sx 2 y x 2 y 
x 2 y  • 
n
------------------------- – =
xˆ1
B – B 2 4C A y – ( ) – +
2C
-------------------------------------------------------- =
xˆ2
B – B 2 4C A y – ( ) – –
2C
-------------------------------------------------------- =
yˆ
xˆ1
xˆ2
yˆ