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Researchers Amber and Baker choose a sample of 100,000 undergraduate students applying for graduate courses in Ivy League schools from across all the 50 states
Researchers Amber and Baker choose a sample of 100,000 undergraduate students applying for graduate courses in Ivy League schools from across all the 50 states in the US. They want to study the probability that an undergraduate student is accepted into any one of these schools, [Pr(Accept= 1)], given the student's SAT scores (SAT, scaled down by a factor of 1000), and the student's performance in an undergraduate course (UG, measured by GPA on a 4 point scale). Amber estimates the following probit regression model: A. Pr[Accept=1|SAT, UG] = (I)[ - 1.27 + 0.5SAT+ 0.32UG], (0.6) (0.98) (0.53) where (I) is the cumulative standard normal distribution function, and standard errors are given in parentheses. Mike, an undergraduate student has a SAT score of 1490, and his GPA in an undergraduate course is 3.15. Mike's probability of getting accepted into an Ivy League school, as calculated by Amber, is %. (Round your answer to two decimal places.)
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