Page 142 - Coincidences in the Bible and in Biblical Hebrew

121
CHAPTER 8 EARTH, MOON, SUN, PLANETS
CHAPTER 8 EARTH, MOON, SUN, PLANETS 121
P A = (V)(T) (kilometers)

Alternatively, the driver may wish to inform the position in meters, in which case
the scale is changed by multiplying by 1,000:

P A’ = (1,000)(V)(T) (meters) = (1,000)P A

Now suppose that the position is measured not from city A but from city B. The posi-
tion would now be specified as (D AB is the distance between the cities, in meters)

P B = D AB – (1,000)(V)(T) (meters) =
D AB – P A’ = D AB – (1,000)P A.

We realize that although the same “entity” is measured, namely, the distance
from a certain “zero point,” changes in scale (from kilometers to meters) and in
location (selecting city B, instead of A, as the zero point) translate into a linear
transformation: P B is a linear transformation of P A. The underlying meaning of P,

however, is not altered.
Extending this interpretation to the linear regression analyses expounded in

this book, the reader should bear in mind that whenever a statistically signifi-

cant linear regression model is obtained, it implies that the independent variable

(the regressor ) is the same as the response (the dependent variable ). The only
difference is that the latter is measured on a different measurement scale than
the former.

8.3.2 The Statistical Analysis and Its Results

The dependent variable (the response ) was the celestial object’s diameter (in kilo-

meters), given on a natural-log scale, and the independent variable (the regressor )
was the object numerical value (ONV), calculated from the numerical values of
the letters comprising the corresponding Hebrew word.
Values for the diameters of the moon, the Earth, and the sun were taken from
NASA Web site (given earlier, section 8.2).
Values for the ONVs were calculated as follows:

Moon (yareach): 2

218 = (8 = ח) + (200 = ר) + (10 = י)