Linear Regression of Interlevel Wind Velocities

Abstract

Studies of the statistical data of wind velocities at various altitudes indicate that the orthogonal components of wind at the same altitude are practically independent of each other statistically and each component is approximately normally distributed. On the other hand, these data also indicate that there is a linear regression of each orthogonal component at one altitude on that at a different altitude. This property of linear regression can be used for the prediction of wind velocities at all altitudes knowing the velocity at one altitude, the regression coefficients, and the average wind profiles. The uncertainties and the confidence level of the prediction are discussed. Possible application is indicated. Mathematical representation of the wind profiles and the regression coefficients are mentioned briefly.