Microsoft Office Tutorials and References
In Depth Information
Summary of trendline equations
This section contains a concise summary of trendline equation. These equations assume that your sheet has two
named ranges: x and y.
Linear trendline
Equation: y = m * x + b
m: =SLOPE(y,x)
b: =INTERCEPT(y,x)
Logarithmic trendline
Equation: y = (c * LN(x)) + b
c: =INDEX(LINEST(y,LN(x)),1)
b: =INDEX(LINEST(y,LN(x)),1,2)
Power trendline
Equation: y=c*x^b
c: =EXP(INDEX(LINEST(LN(y),LN(x),,),1,2))
b: =INDEX(LINEST(LN(y),LN(x),,),1)
Exponential trendline
Equation: y = c *e ^(b * x)
c: =EXP(INDEX(LINEST(LN(y),x),1,2))
b: =INDEX(LINEST(LN(y),x),1)
Second order polynomial trendline
Equation: y = (c2 * x^2) + (c1 * x ^1) + b
c2: =INDEX(LINEST(y,x^{1,2}),1)
c1: =INDEX(LINEST(y,x^{1,2}),1,2)
b = INDEX(LINEST(y,x^{1,2}),1,3)
Third order polynomial trendline
Equation: y = (c3 * x^3) + (c2 * x^2) + (c1 * x^1) + b
c3: =INDEX(LINEST(y,x^{1,2,3}),1)
c2: =INDEX(LINEST(y,x^{1,2,3}),1,2)
c1: =INDEX(LINEST(y,x^{1,2,3}),1,3)
b: =INDEX(LINEST(y,x^{1,2,3}),1,4)
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