Function errors?

If k is a function of T, how can I calculate the error of k(T) if the intercept and slope are error-laden quantities? I tried using Gaussian error propagation, but I'm not sure if that's correct. I should get an error Delta k, which also depends on T because the function is not linear.

How does the error of a measured value change when squared?

In an experiment, I measured the period T of a spring pendulum and calculated the corresponding absolute error. Now I need to calculate my period T^2 squared, but how does the absolute error change when I square it? Since squaring the period is simply multiplying the period by itself, I thought I could simply add…

How does the standard deviation change with more measurements?

In my opinion, it's impossible to say whether it will decrease, increase, or remain unchanged, since more measurements only make the standard deviation more accurate, meaning it gets closer and closer to a certain value. But everyone claims something different. And can this also be applied to the sample standard deviation?

Compensation invoice?

Solution: Hello everyone, Three questions about the above task: Why do the parameters of the minimized function according to the solution have to be added, whereas the parameters of the original function have to be subtracted? Is the radian usually used for calculations in such a function? My solutions: a = 3.02 and b =…