This is called the joint probability. p(x = xi; y = yi). If we x x to, say xi then the probability of y taking on a particular. value, say yj, is given by the conditional probability.

What does Y1 mean in statistics?

If f(y) is the density for Y in the population we can describe this as Y1,···Yn is a random sample from a population with density f(y). In probability theory we usually know what f(y) is and then want to. deduce something about the random variable Y , e.g., what is the probability. that Y is greater than 10.

What does ΜY mean?

Expected Value E(Y ) = µY E( ¯Y ) = µY Both have the same expected value, the mean of Y . Definitional: a random variable drawn from a distribution with expected value µY has expected value µY The average value of n random numbers, each with expected value µY is µY .

y-bar = (y-hat)-bar (the average of the y values is equal to the average of the corresponding y values on the least squares regression line; i.e., the average of the y values of the black circles is equal to the average of the y values of the red circles in the figure above).