SERIES CORRELATED WITH NET EARNINGS 257
It is apparent at once, from an inspection of this table, that
ratios of total expense to earning assets are not independent of
—that is, remain the same with—variable ratios of loans and
discounts as measured. Indeed, the types of relations between
ratios of loans and discounts and of total expense are the same
as those between ratios of loans and discounts and of gross earn-
ings. Accordingly, with both gross earnings and total expense
positively correlated with loans and discounts, and with total ex-
pense indifferently correlated with deposits, the relation between
gross earnings and total expense is in doubt when approached
in this indirect manner. But if high gross earnings go with high
total expense and low gross earnings with low total expense, as
is the case when the ratios themselves are directly correlated
with respect to the district and yearly variations and percentage
changes from year to year, the manner in which net earnings
are related to both of them, and to the series correlated with
gross earnings and with total expense, is not self-evident. Further
study is necessary to establish these relations.
TABLE 151
NATURE OF CORRELATION IN PERCENTAGE DEVIATIONS AND YEAR-TO-
YEAR CHANGES IN DIFFERENT SERIES PAIRED
SERIES CORRELATED
Independent Variables
Dependent Variables
Gross Earnings to Earning
Assets. ..................
Total Expense to Earning
Assets
Total Expense to Earning
Assets... ...............
Gross Earnings to Earning
Accets
NATURE oF CORRELATION
Differ-
ences
from
District
Averages
Changes
‘rom
Vear
to
Year
Differ-
ences
from
Country's
Yearly
Averages
Positive . Positive
Pocitive + Positive
Positive
Positive
But first, attention should be directed to the type of relations
between variable gross earnings and variable total expense. The
nature of the correlation is shown in Table 151. If, as shown in
this table, high or low ratios of gross earnings, respectively, ac-
company high or low ratios of total expense, how are ratios of net
earnings affected by these sympathetic changes? Conflicting evi-
dence bearing on this question is found in Table 152, in which is
summarized the nature of the relations between variable gross