Graduating on time ~In a 2003 article in the Journal of Higher Education, a group of authors set out to investigate the impact of intercollegiate athletics on graduation rates among major NCAA Division I Universities. They were specifically interested in the relationship between a successful sports program and the graduation rate of university students, but as part of their investigation, they also recorded several other numeric variables about the universities.Look at a sample of 45 universities from the data set used by the authors and the three variables:

Graduation rate: The average 6-year graduation rate for 1996, 1997, and 1998

ACT25: The 25th percentile of composite ACT scores for admitted students

Accept: The acceptance rate of students who apply for admission to the university

You want to use linear regression to predict a university's graduation rate. The scatter plots and summary statistics below summarize the data for 45 universities from the data set.

Variable	Mean	Standard Deviation
Graduation rate	55.7867	15.7544
ACT25	21.2444	2.542
Accept	72.5778	15.8236

The correlation coefficient forGraduation rateandACT25is r = 0.8375. The correlation coefficient forGraduation rateandAcceptis r = -0.626.

1.Use the summary statistics to find the equation of the regression line for predictingGraduation ratefromACT25. Remember to use all decimal places for intermediate calculations. Round final answers to 4 decimal places.

y^= ???? + ????x

2.Calculate theR2R2value for the regression ofGraduation ratefromAcceptand complete the sentence below to interpret theR2R2value.

?????? % of the variation in Graduation Rate can be explained by the linear relationship with Accept .