Quadratic regressionCubic regression

 

Model formula.......

y = ax2 + bx + c

Model formula.......

y = ax3 + bx2 + cx + d

a..........

regression second coefficient

a..........

regression third coefficient

b..........

regression first coefficient

b..........

regression second coefficient

c..........

regression constant term

c..........

regression first coefficient

 

(y-intercept)

d

regression constant term

 

 

 

 

 

 

 

(y-intercept)

Quartic regression

 

 

 

 

Model formula.......

y = ax4 + bx3 + cx2 + dx + e

 

 

a..........

regression fourth coefficient

 

 

 

b..........

regression third coefficient

 

 

 

c..........

regression second coefficient

 

 

 

d..........

regression first coefficient

 

 

 

e..........

regression constant term (y-intercept)

 

 

ILogarithmic Regression Graph

Logarithmic regression expresses y as a logarithmic function of x. The standard logarithmic regression formula is y = a + b × In x, so if we say that X = In x, the formula corresponds to linear regression formula y = a + bX.

(CALC)(E)(Log)

(DRAW)

The following is the logarithmic regression model formula.

y = a + b·ln x

a..............

regression constant term

b..............

regression coefficient

IExponential Regression Graph

Exponential regression expresses y as a proportion of the exponential function of x. The standard exponential regression formula is y = a × ebx, so if we take the logarithms of both sides we get In y = In a + bx. Next, if we say Y = In y, and A = In a, the formula corresponds to linear regression formula Y = A + bx.

(CALC)(E)(Exp)

(aeˆbx) or (abˆx)

(DRAW)

The following is the exponential regression model formula.

y = a·ebx

a..............

regression coefficient

b..............

regression constant term

y = a·bx

 

a..............

regression constant term

b..............

regression coefficient

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