# Accession Number:

## AD0659977

# Title:

## REGRESSION PARAMETERS FOR PAIRS OF EQUALLY UNCERTAIN VARIABLES

# Descriptive Note:

# Corporate Author:

## NAVAL RADIOLOGICAL DEFENSE LAB SAN FRANCISCO CA

# Personal Author(s):

# Report Date:

## 1967-07-11

# Pagination or Media Count:

## 23.0

# Abstract:

The correlation of radiochemical data from samples of fractionated nuclear debris involves the treatment of two variables whose uncertainties are comparable. We considered three new criteria for the establishment of regression parameters for such correlations least square perpendicular distances between points and the line, bisection of the angle formed by the certain-x and certain-y regression lines, and adoption of the geometric mean of the certain-x and certain-y regression slopes. We concluded that the geometric-mean slope b prime was most satisfactory. It is related to the usual certain-x regression slope b subscript x,x and the coefficient of correlation r by the simple expression b prime b subscript x,xthe absolute value of r.

# Descriptors:

# Subject Categories:

- Radiation and Nuclear Chemistry
- Statistics and Probability
- Nuclear Instrumentation