Retention of students is one of the largest problems facing colleges and universities today.Loss of students impacts revenues not only from tuition but from state and federal funding programs.If a university can understand what factors impact student retention it can form strategic plans aimed at keeping students enrolled.Academic performance is often cited as one reason that students leave.Data were collected from 20 colleges in the Midwest on the freshman retention rate (% of freshmen who stay for a second year) and the 25^th percentile score on the American College Test (ACT) examination. The scatterplot and regression output are shown below.

Linear Equation: FrRetRate = 0.51 + 0.014ACT R 22.9% Bad to Home Page: 0.4783 p value of F 0.0049 0.90 0.85 0.80 0.75 > 0.70 0.65 0.60 0.55 0.50 17 18 19 20 21 22 23 24 25 X SUMMARY OUTPUT Regression Statistics Multiple F 0.47 8265 R Square 22.9% Standard Error 0.0 Observations 33 ANOVA Source of Variation Sum Of Squares of MS significance of F critical F Regression 0.0174 1 0.0174 9.19383 0.0049 4.1596 Error 0.0588 31 0.0019 Tota 0.0762 37 95% Prediction Interval Estimate Coefficients Standard Error Stat P-value Lower Limit Upper Limit Intercept 0.514 0. 095 5.4331 0.000 01 0.3211 0.7070 .014 0. 004 3.0321 0.00487 0.0045 0.0228 ALI Enter a value for X: 20.0 Point Estimate for Y: 0.7864 15% Prediction Interval Estimate Lower Lim it 1.6958 Upper Limit 0.8770 95% Confidence Interval Estimate Lower Lim it ).7684 Upper Limit 0.8044