The IQs of 600 applicants to a certain college are approximately normally distributed with a mean of 115 and a standard deviation of 12. If the college requires an IQ of at least 95, how many of these students will be rejected on this basis of IQ, regardless of their other qualications? Note that IQs are recorded to the nearest integers.

#data analysis using hamilton data to predict y data=read.csv("hamilton.csv") #wewill check the performance of first-order model m1=lm(y~x1+x2, data) summary(m1) par(mfrow=c(1,3)) plot(data[,1], m1$res) plot(data[,2],m1$res) plot(fitted(m1),m1$res) #I did not observe an obvious pattern in the residual plots #we will present the partial residual plots on x1 partial=m1$res+coef(m1)[2]*data[,1] plot(data[,1], partial,xlab='x1',ylab="partial residual") #partial residual plot show strict linear line #there must be violation on the assumptions to do linear regression install.packages("car") install.packages("MASS") library("car") library('MASS') vif(m1) cor.test(data[,1], data[,2])$p.value #x1 and x2 are significantly correlated #we will apply rid