Question

Question 4 (11 points) Trying to determine the number of students to accept is a tricky task for universities. The Admissions staff at a small private college wants to use data from the past few years to predict the number of students enrolling in the university from those who are accepted by the university. The least squares regre ssion line for predicting the number enrolled from the number accepted is gven as E 89+0.208accepted, where E-enrolled a. Interpret the slope in context of the problem. (2 points b. Interpret the intercept of the line in context. Does the interpretation make sense? (2 pts Suppose Admissions has announced that 2,575 students have been accepted this year Use your regression equation to predict the number of students that will enroll. (2 pts) c. Suppose admissions has announced that 3,000 students have been accepted this year and out of these, 800 students enrolled. Calculate the residual for this enrollment. (2pts d. e. Explain what both a negative and a positive association between the number of students enrolling in the university and those who are accepted by the university. Which is more plausible in this situation? (3 POINTS

Answer 1

sqvare eression ine 89 + 0.208 accepted →X" P, h) Intercept. (P.) 8g , theintorcept is simply the expected mean-value-엉 y at E 800 713 Residval c) when x 2575 89 + 0.209( 2575 E = 624.6

e mane the numbr -students who by the university more ane cccepted wil he the stulents enstollong in theunvensity mefns