QUESTION 1: Ten prosecutors were asked what percentage of their cases ended in guilty pleas and how many years of experience each had as a prosecutor. | The results were recorded as follows: x=7.2222, s =6.3004 X: Number of years of experience as a prosecutor. y =83.8889, S =10.8102 Y: Percentage of cases resulting in a guilty plea. We also know the correlation coefficient " = 0.8245 Now calculate the -intercept, Round to 4 decimal places. QUESTION 2: Ten police officers are asked how many promotions they have received and how many years they have served on the force. The results are recorded below: X: Years on the force 7, 1, 5, 3, 12, 2, 4, 1, 9, 6 Y: Number of promotions: 5, 1, 3, 1, 8, 1, 2, 0, 7, 2 Now calculate the regression coefficient - 1. Round to 4 decimal places.QUESTION 3: In running a small pilot study for a large-scale research project, George gathers data on the average number of homicides monthly for five U.S. cities. While he is looking for a good predictor of the different homicide rates, he stumbles across the following set of data on the number of theaters in each of the cities: X: Number of theaters Y: Homicides monthly 1' 2' 3' / 4' 5 Y = b + bx = 5.853 + 3.029X According to the regression model, how many homicides would a city with five theaters expect per month? Round to the nearest unit. QUESTION 4: In running a small pilot study for a large-scale research project, George gathers data on the average number of homicides monthly for five U.S. cities. While he is looking for a good predictor of the different homicide rates, he stumbles across the following set of data on the number of theaters in each of the cities: X: Number of theaters 1 ' * 2 ' * 3 , Y: Homicides monthly 1' 2' 3' 4' y Y = b +bx= 5.853 + 3.029X According to the regression model, , how many homicides would a city with three theaters expect per month? Round to the nearest unit.QUESTION 5: In running a small pilot study for a large-scale research project, George gathers data on the average number of homicides monthly for five U.S. cities. While he is looking for a good predictor of the different homicide rates, he stumbles across the following set of data on the number of theaters in each of the cities: X X X X: Number of theaters Y: Homicides monthly 1' / 2' / 3' YA' YS Y =b + bX = 5.853 + 3.029X According to the regression model, , how many homicides would a city with seven theaters expect per month? Round to the nearest unit