power
The power of the regression is the probability that the model correctly
describes the relationship of the variables, if there is a relationship.

alpha
Alpha (a) is the acceptable probability of incorrectly concluding that 
there is a relationship.You conclude there is a statistically significant 
relationship when the P value is less than alpha. The smaller the value of
alpha, the stricter are the requirements before concluding that there is
a relationship. The traditional a value used is 0.05.