What does the R-square value tell you about the regression model?

Using the enclosed data answer the following questions in essay format:What is the R-square value for the regression model?What does the R-square value tell you about the regression model?What is the significance F value of the model? What does the significance F value tell you about the statistical significance of the model? What is the coefficient (t stat value) for the X-variable drug arrests? What does the coefficient (t stat value) mean? In other words, how do you interpret the coeffficient? What is the p-value for the X variable drug arrests?What does the p-value for drug arrests tell you about its ability to predict prison incarcerations at a level of statistical significance? Is the residual plot a random pattern, nonrandom U pattern, or an inverse U pattern? What does the type of pattern tell you about the “fit” of the regression model to the data?