(a)
\Plot the points and obtain the regression equation using Excel-sheet.
\
The logaritm function is
.
(b)
\Predict the number of word families.
\The regerssion equation is
.
Since word families that make up
,
.
Substitute
in above exponential equation.

Definition of logarithm :
if and only if
.

Number of word families are
.
(a) The logaritm function is
.
(b) Number of word families are
.