Exponential Regression Calculator

Variable Names (optional):
Explanatory (x) Response (y)
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Include Regression Curve:
Exponential Model: $y=a \cdot b^x$

  • Values of the response variable $y$ vary according to a normal distribution with standard deviation $\sigma$ for any value of the explanatory variable $x$. The quantity $\sigma$ is an unknown parameter.

  • Repeated values of $y$ are independent of one another.

  • The relationship between the mean response of $y$ (denoted as $\mu_y$) and explanatory variable $x$ is a straight line given by $\mu_y=\alpha+\beta x$ where $\alpha$ and $\beta$ are unknown parameters.
Display output to

Regression Equation:

Residual Plot
Residuals $y-\hat{y}$