What Is a Conditional Mean?

What Is a Conditional Mean?

In probability theory, the conditional expectation, conditional expected value, or conditional mean of a random variable is its expected value – the value it would take “on average” over an arbitrarily large number of occurrences – given that a certain set of "conditions" is known to occur.

How do you find the conditional mean?

The conditional expectation (also called the conditional mean or conditional expected value) is simply the mean, calculated after a set of prior conditions has happened.
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Step 2: Divide each value in the X = 1 column by the total from Step 1:
  1. 0.03 / 0.49 = 0.061.
  2. 0.15 / 0.49 = 0.306.
  3. 0.15 / 0.49 = 0.306.
  4. 0.16 / 0.49 = 0.327.

What is a conditional mean in regression?

If you look at any textbook on linear regression, you will find that it says the following: “Linear regression estimates the conditional mean of the response variable.” This means that, for a given value of the predictor variable X , linear regression will give you the mean value of the response variable Y .

Sophia Al-Mansoor
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Sophia Al-Mansoor

Sophia analyzes international trade, startup ecosystems, retail transformation, and supply chain logistics for modern digital publications.