The Mansfield School District wants to predict student enrollments for next year. It hires Daniel Mazmanian Educational Consultants to do this work. Using data from 1992 through 2014 (1992 = year 1), the consultants assume that all past trends will continue and use a time series regression to predict the total number of students enrolled (Y). They get the following:
Y = 781 + 28.8X
sb = .68 Sy|x = 6.2 N = 23 r2 = .9955  = 10 sx = 6
Interpret the slope, intercept, and r2. Is there a relationship between time and enrollments?