# Thread: Regression equation off derivative function.

1. ## Regression equation off derivative function.

I got this investigation to do for homework today. The question is below:

The regression equation represents the derivative function. Compare the original equation and the derivative equation. What relationship do you notice?

Comparing f(x) to f’(x), f’(x) represents the instantaneous rate of change of f(x). The pattern to determine the instantaneous rate of change without graphing technology is to multiply the coefficients of each term by the power of the term, then reduce the exponent by 1.

Is that a good enough answer? Or is there a proper mathematical terminology for this pattern?

Also, what is the derivative of a constant function. For example, y = 3. I believe it is 0 however my math is saying it is undefined.

2. It sounds like you are on the right track, but is that all the information you were given?

Do you know the purpose of a regression equation? Do you know how one is found?

3. Originally Posted by pickslides
It sounds like you are on the right track, but is that all the information you were given?

Do you know the purpose of a regression equation? Do you know how one is found?
No, what is the purpose?

4. A regression equation 'fits' a dataset to help predict unknown values.

It is true that the derivative of a constant is 0.

5. I would say so because there is no power to it, other than zero, making it 0 multiplied the constant. Which is zero. How does one should this mathematically? As well, what does the derived equation tell you have the original equation? I do not understand this.