Binary regression is like a guessing game where you want to predict if something will happen or not. Imagine you have a bag of red and blue marbles, but you can't see inside the bag. You want to guess if you will pull out a red marble or a blue marble without seeing them first. Binary regression is like making a guess about whether the marble you pull out will be red or blue.
In more grown-up terms, binary regression is a type of statistical analysis used to predict a binary outcome, meaning there are only two possible outcomes. For example, if you want to predict if someone will buy a product or not, the outcome is either "yes" or "no". Binary regression looks at other variables, like age, gender, or income, to see if they affect whether someone will buy the product or not. By looking at these variables, binary regression tries to make an educated guess about whether someone will buy the product or not.
In order to make this guess, binary regression looks at past data where the outcome is already known. In the marble example, you could keep track of how many times you pull out a red marble versus a blue marble. By looking at past data, binary regression can make a better guess about the future outcome.
In summary, binary regression is like making an educated guess about a binary outcome, using past data and other variables to try and predict the future outcome.