10. The city council of Pine Bluffs is considering increasing the number of police in an effort to reduce crime. Before making a nal decision, the council asks the Chief of Police to survey other cities of similar size to determine the relationship between the number of police and the number of crimes reported. The Chief gathered the following sample information. (10 marks) Number of Crimes 17 Starkville 13 Danville 5 a. If we want to estimate crimes based on the number of police, which variable is the dependent variable, and which is the independent variable? (2 marks) According to the regression output shown below: . reg y x Source SS df MS Number of obs = 8 F( 1, 6) = 19.49 Model 222. 393634 1 222.393634 Prob > F = 0 . 0045 Residual 68 . 4813665 6 11 . 4135611 R-squared = 0. 7646 Adj R-squared = 0 . 7253 Total 290 .875 7 41.5535714 Root MSE = 3. 3784 Y Coef. Std. Err. t P>It| [95% Conf. Interval] X -. 9596273 . 2173962 -4.41 0 . 004 -1 . 491577 -. 4276779 cons 29. 3882 4. 143381 7. 09 0 . 000 19.24971 39. 52669 b. write the regression equation. (2 marks) c. Interpret the coefficient -0.9596273, does it surprise you that the relationship is inverse? (2 marks)d. What is the coefficient of determination? What does this statistic tell you? (4 marks)