In a regression setting, which, if any, of the following is not an assumption about the random error ?

A) The errors are linearly correlated.
B) The errors are normally distributed with a mean of 0 and a common variance.
C) The errors are independent in a probabilistic sense.
D) All of these are assumptions about the random error.
E) None of these.

Random Error

Variability in data that is caused by unpredictable and unavoidable fluctuations in the measurement process.

Linearly Correlated

A statistical relationship between two variables in which changes in one variable are associated with proportional changes in another variable along a straight line.

Normally Distributed

Describes a symmetric, bell-shaped distribution of data where the mean, median, and mode are equal, prevalent in many natural phenomena.