6-3-8

Calculating and Graphing Paired-Variable Statistical Data

kLogarithmic 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.

1(CALC)6(g)2(Log)

6(DRAW)

The following is the logarithmic regression model formula.

y = a + b • ln x

a............. regression constant term

b............. regression coefficient

r ..............

correlation coefficient

r2 ............

coefficient of determination

MSe ........

mean square error

kExponential 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.

1(CALC)6(g)3(Exp)

6(DRAW)

The following is the exponential regression model formula.

y = a • ebx

a............. regression coefficient

b............. regression constant term

r ..............

correlation coefficient

r2 ............

coefficient of determination

MSe ........

mean square error

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