Linear Regression Methods to Predict Interval-Valued Data

This paper introduce a new criterion and two new linear regression methods to predict interval-valued data. The proposed approaches consist in a new point of view to study the relationship between the midpoints and the ranges of the interval-valued variables. The evaluation of the proposed prediction methods is based on the average behaviour of the root mean squared error and the square of the correlation coefficient in the framework of a Monte Carlo experiment in comparison with the method proposed by [3].