QUESTION #1

Do larger universities tend to have more property crimes? University crime statistics are affected by a variety of factors such as surrounding community, accessibility given to outside visitors, etc. Let :1: represent student enrollment (in thousands} and let 3,: represent the number of burglaries in a year on the university campus. A random sample of n = 8 universities in California yielded the following data regarding the enrollments and annual burglary incidents. :t: 12.5 30.0 24.5 14.3 2.5 23".? 16.2 20.1 The equation of the regression line relating y to x as well as the coefcient of correlation are computed to be = 4.13 l 1.833, r = 0.76. Based on the given \"i\". which of the following conclusions may be made? 0 The number of burglaries and student enroll number are very strongly correlated, and burglaries tends to increase as the enroll number decreases. O The number of burglaries and student enroll number are very poorly correlated. O The number of burglaries and student enroll number are moderately correlated, and burglaries tends to increase as the enroll number decreases. O The number of burglaries and student enroll number are moderately correlated, and burglaries tends to increase as the enroll number increases. In one of Boston's public parks, mugging in summer months has been a serious issue. A police cadet took a random sample of 10 days and compiled the data. For each day, :13 represents the number of police ofcers on duty in the park and 3; represents the number of reported muggings on that day. 11:10,,232103231 47 3333:235W133 _74183 21411 The coefcient of correlation between :1? and y is about 0 1.00 O 4:190 o 4:19? 0 I19? 0 1:190 The table below reports the ages (in years) and the number of hours of sleep in one night by seven adults. Age, x 35 20 59 42 68 38 75 Hours of 7 9 5 6 5 8 4 sleep, y n =7, > x = 337, y = 44, SSix = 2338.86, SSyy = 19.43, SSpy = -202.29 The least squares estimate of the slope B, is about