central limit theorem

1. I Central Limit Theorem and fitting data

I am working with a simulation which generates an arbitrary number $n$ of identical curves with different phases and calculates their (normalized) sum. As expected, the fluctuation depth of the curves decreases as we increase $n$. Here is an example of my simulation (when $n>1$, the...
2. I Central limit theorem, panel study

I am doing a panel study with multiple linear regression. When I want to make sure that the residuals are normally distributed, as is a requirement for the regression model, can I assume so due the Central limit theorem (given the size is sufficient)? Or does it not apply when there is a time...
3. I think this is about the Central Limit Theorem

1. Homework Statement An engineer is measuring a quantity q. It is assumed that there is a random error in each measurement, so the engineer will take n measurements and reports the average of the measurements as the estimated value of q. Specifically, if Yi is the value that is obtained in...