8) Fit a simple linear regression to predict per capita crime rate using median value of owner-occupied homes. Did you find a statistically significant relationship between the predictor and the response? Explain the meaning of the coefficient estimates.

9) Perform diagnose tests for the simple linear regression in question 8 and explain your findings.  

10) Fit a multiple regression model to predict per capita crime rate using all the available variables. Describe your results in terms of coefficient estimates and model fitting. Did you find a significant re-lationship between the predictor and the response? Explain the meaning of all the significant coefficient estimates.