Can regression coefficients be higher than correlation coefficients? I created a model, and in some cases I have regression coefficients between 2 variables that are slightly higher than correlation coefficients. Is that normal?
 A: The coefficient of determination ($R^2$) in a linear regression model is the square of the Pearson correlation coefficient ($r$). The regression coefficients themselves are more weakly related to $r$, being driven more by the variation in X and Y. So yes, your result is entirely normal.
A: For simple linear regression there is a relationship between slope and correlation:
$\hat\beta_1 = r_{x,y}{s_y\over s_x}$
So the relationship of $\hat\beta_1$ and $r_{xy}$ is entirely dependent on the standard deviations of x and y, and, by rescaling variables, can be pretty much any value.
A: In simple words, regression coefficient is the amount of change in the dependent variable when the independent variable(predictor) changes by one unit. In the case of linear regression, the R is the correlation coefficient is the measure of correlation between actual values of the dependent variable and the predicted values of the dependent variable using the regression model. Thus, there could not be any comparison between the regression coefficient and correlation coefficient. 
If the question is about the coefficient of correlation between the two variables (independent and dependent variables), it is the degree to which both the variables are varying together (when one is varying in one direction, the extent to which the other one is varying in same direction or in the opposite direction). This value is completely different from R of the regression model. 
The correlation coefficient ranges from -1 to 1, where the value closer to -1 denotes high negative correlation and closer to 1 denotes high positive correlation.On the other side, there is no fixed range for regression coefficient. It depends on the amount to which the predictor influences the dependent variable. It depends on how the predictor and the dependent variables are scaled.
A: Yes, it's absolutely normal.
The size of your regression coefficients depends on the units of measurement of your explanatory variables. i.e. regression coefficients will be larger if height is measured in meters $(x_i = 1.8$ m$)$ than if it's measured in centimetres $(x_i=180$ cm$)$.
Correlation, on the other hand, is a standardized metric. It does not depend on the unit of measurement.
Hence you can make your regression coefficients arbitrarily small or large by changing unit of measurement - but this has no effect on correlation.
