4) A math instructor at Futurama Community College has found, based on studies from the years 3000 to 3009, that the number of students enrolled in Relevant Applied Math in a given year can be predicted from the regression equation û = 494 - 267., (where z is the number of years after 3000; x = 4, for example, means 3004) and that 82.8% of the variation in the number of students enrolled can be explained by the year. a) What is the slope of the regression line? (3) b) What is the value of r2, the coefficient of determination? (3) c) Use the regression equation to predict the number of students enrolled in the course in 3008. (3) Is there a mistake in d) The instructor's data show 279 students enrolled in 3008. the regression equation? Explain. (2)