Consider the following linear regression prediction equation: Y = –3 x + 144. What is the direction of the relationship between these two variables?
a. 
Neutral relationship 

b. 
Positive relationship 

c. 
Negative relationship 

d. 
No relationship 
Let us compare the given regression equation with the general format of regression equation
Linear regression is of form
Given here is Y = –3 x + 144
Comparing same we get slope value as 3, which means slope is negative
As we know slope and correlation have same sign, which means correlation is also negative
Hence from the given equation we get, there is Negative relationship between these two variables.
So correct answer here is c. Negative relationship
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