Linear Correlation and Modeling
Key Questions

The possible values of the correlation coefficient are,
#1<=r<=1# .An
#r# value near#1# indicates a positive correlation.
An#r# value near#1# indicates a negative correlation.
An#r# value near#0# indicates no correlation. 
Answer:
See explanation. I would suggest that you look it up in a book. Dictionary of mathematics perhaps.
Explanation:
#color(blue)("Finding the coefficient")# This is one of those questions that is rather like: "how long is a piece of string".
It all depends on the structure of the relationship which has many variations. So it is hard to give a definitive answer.
Linea points to a fixed value coefficient.
By example:
Let the independent variable be
#x#
Let the dependant variable be#y#
Let the correlation coefficient be#k# Then we have the general form of;
#y=kx# To find the value of
#k# divide both sides by#x# giving:#k=y/x#
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#color(blue)("Interpreting the coefficient")# Again this is dependant on context. Basically it fixes the major relationship between the dependant and independent variables.
It could be described as a conversion factor