Coefficient of Determination = 0.965517241

Sample Covariance = 35

AXr r3 K= E A Ur 3,

AU3- AX1- AXr 1F \

E A U3, 1 F=

uLogarithmic, Exponential, Power, and Inverse

Regression

Use the same key operations as linear regression to re- call results for these types of regression.

The following shows the regression formulas for each type of regression.

Logarithmic Regression

y  A  B ￿ In x

Exponential Regression

y  A￿ eB·x (In y  In A + Bx)

Power Regression

y  A￿ xB (In y  In A + B In x)

Inverse Regression

y  A  B ￿ 1/x

uQuadratic Regression

The regression formula for quadratic regression is: y = A + Bx + Cx2.

Example:

xi yi

291.6

5023.5

7438.0

10346.4

11848.0

Perform quadratic regression to determine the regression formula terms for the data nearby. Next, use the regression formula to estimate the values for n (estimated value of y) for xi = 16 and m (estimated value of x) for yi = 20.

In the REG Mode:

r3(Quad)

AB1(Scl) =(Stat clear)

29 P 1.6 S50 P 23.5 S

74 P38.0 S103 P46.4 S

118 P48.0 S

Regression Coefficient A = –35.59856934

Regression Coefficient B = 1.495939413

AXrr 1=

AXrr 2=

E-27