Complex sentence: Linear least squares is an important computational problem, that arises primarily in applications when it is desired to fit a linear mathematical model to measurements obtained from experiments, with the goals of extracting predictions from the measurements and reducing the effect of measurement errors.
Split into simpler sentences: Linear least squares is an important computational problem, that arises primarily in applications when it is desired to fit a linear mathematical model to measurements obtained from experiments. The goals of linear least squares are to extract predictions from the measurements and reducing the effect of measurement errors.