# Y Hat In Statistics

**The predicted value symbolized by y-hat equals the intercept symbolized by b-sub-o plus the slope symbolized by b-sub-1 times the data point x.**

**Y hat in statistics**.
It can also be considered to be the average value of the response variable.
This video I will show you how to use the alternative forms of the linear regression formulas.
The equation takes the form where b is the slope and a is the y -intercept.

In statistics the variable y is conventionally used for observations of something you want to predict. In statistics the term y hat written as ŷ refers to the estimated value of a response variable in a linear regression model. Zarea or z area the z-score such that that much of the area under the normal curve lies to the right of that z.

We typically write an estimated regression equation as follows. Lets say you have y-bar. The predicted values ybcan then be written as by X b XXT X 1XT y.

You want to find a way to best describe values of a variable Y. Estimate the mean μ Y at the mean of the predictor values. Linear Regression y-hat - YouTube.

Properties and Interpretation Week 5 Lecture 1 1 Hat Matrix 11 From Observed to Fitted Values The OLS estimator was found to be given by the p 1 vector b XT X 1XT y. Y-hat is the symbol that represents the predicted equation for a line of best fit in linear regression. It can also be considered to be the average value of the response variable.

It just takes practice and engaging examples. We believe everyone can learn to interpret data. The regression equation is just the equation which models the data set.