- #1
jimmy123
- 1
- 0
i don't understand this...why will y=c*a^x not fit data which has negative y-values and positive x-values?... Will that same data fit y=c*a^x+b?
thanks in advance
thanks in advance
jimmy123 said:i don't understand this...why will y=c*a^x not fit data which has negative y-values and positive x-values?... Will that same data fit y=c*a^x+b?
thanks in advance
The equation y=c*a^x is an exponential growth equation, which means that as x increases, y also increases. However, when x is negative, the value of a^x becomes very small and approaches 0, making y very close to 0 as well. This does not fit with the data that has negative y values.
Yes, the equation can be modified to fit the data by adding a constant term. The modified equation would be y=c*a^x + b, where b is a constant value that can shift the curve up or down to fit the data with negative y values.
The added constant term can help make the curve fit better, but it may still not fit perfectly due to other factors such as experimental error or the presence of outliers in the data.
Yes, there are other equations that can fit such data, such as logarithmic functions or power functions. These equations have different properties and may fit the data better depending on the nature of the data.
The best way to determine the best fit equation for your data is by plotting the data and visually inspecting the curve. You can also use statistical analysis techniques such as regression analysis to determine the equation that best fits the data. It is important to also consider the properties of the data and the theoretical basis for choosing a particular equation.