Simple Linear Regression - Difference between predicting and estimating?
Here is what my notes say about estimation and prediction:
Estimating the conditional mean
"We need to estimate the conditional mean at a value , so we use as a natural estimator." here we get
with a confidence interval for is
where Where these results are found by looking at the shape of the distribution and at and
"We want to predict the observation at a value "
Hence a prediction interval is of the form
Using the integral test, find the positive values of p for which the series ∑∞ k=2 1/ (k(ln(k)))^p converges. Show your work and explain your reasoning.
Two small charged objects repel each other with a force F when separated by a distance d. If the charge on each object is reduced to 1/4 of its original value and the distance between them is increased 2 times, what will the force between them become?