1 OPTIONS NONOTES NOSTIMER NOSOURCE NOSYNTAXCHECK;7273 /* product.sas */74 title "Test H0: beta1 * beta2 = 0 on the SAT data";757677 data PennState;78 infile '/folders/myfolders/441s18/Lecture/openSAT.data.txt' firstobs=2;79 input id verbal math gpa; /* Skipping the header */80NOTE: The infile '/folders/myfolders/441s18/Lecture/openSAT.data.txt' is:Filename=/folders/myfolders/441s18/Lecture/openSAT.data.txt,Owner Name=root,Group Name=vboxsf,Access Permission=-rwxrwx---,Last Modified=06Jan2017:09:41:47,File Size (bytes)=3618NOTE: 200 records were read from the infile '/folders/myfolders/441s18/Lecture/openSAT.data.txt'.The minimum record length was 16.The maximum record length was 16.NOTE: The data set WORK.PENNSTATE has 200 observations and 4 variables.NOTE: DATA statement used (Total process time):real time 0.00 secondscpu time 0.00 seconds81 proc reg plots=none;82 title2 'Proc reg to get starting values';83 model gpa = verbal math;84NOTE: PROCEDURE REG used (Total process time):real time 0.09 secondscpu time 0.07 seconds85 proc nlmixed ;86 title2 "Testing H0: beta1 beta2 = 0";87 parms beta0 = 0.60807 beta1 = 0.00231 beta2 = 0.00099736 sigmasq = 0.30069;88 L = beta0 + beta1*verbal + beta2*math;89 model gpa ~ normal(L,sigmasq);90 contrast 'Product' beta1*beta2;91 run;NOTE: Convergence criterion (GCONV=1E-8) satisfied.NOTE: At least one element of the gradient is greater than 1e-3.NOTE: PROCEDURE NLMIXED used (Total process time):real time 0.10 secondscpu time 0.08 seconds92939495969798 OPTIONS NONOTES NOSTIMER NOSOURCE NOSYNTAXCHECK;111