A reseаrcher is interested in hоw vаriаbles, such as GRE (Graduate Recоrd Exam scоres) and GPA (grade point average), affect admission into graduate school. The response variable, admit/don’t admit, is a binary variable. The data set has a binary response variable called admit. There are two predictor variables: GRE and GPA. A student used R to fit a logistic model. Use the partial R output to answer the following questions. mylogit Write the logistic regression model. Test the global null hypothesis. Make sure to write the null and alternative hypotheses, and compute the test statistic. Write down the distribution of the test statistic. Is GRE a significant variable in this model? Test the hypothesis test. Make sure to write the null and alternate hypotheses, compute the test statistic, and the p-value. Interpret the coefficients of the model using the odds ratio. Use your model to compute the predicted probability of getting admission for a student with a GRE score of 580 and a GPA of 3.59.