A model generation program that causes a computer to execute a process includes generating a plurality of first coefficient matrixes representing a relationship between a first observation matrix that has a feature and a characteristic vector that has a characteristic value of each of the plurality by a regression coefficient; generating a histogram in which a plurality of total regression coefficients obtained by totaling the regression coefficient included in the plurality of first coefficient matrixes for each of the plurality of elements is arranged in order of element in the first observation matrix; generating a second observation matrix including a second element acquired by combining a plurality of first elements that corresponds to the adjacent total regression coefficients of nonzero in the histogram into one; and generating a second coefficient matrix representing a relationship between the second observation matrix and the characteristic vector.