Upon fitting a Logistic Regression Classifier on an email da…

Upon fitting a Logistic Regression Classifier on an email data set, we obtained the probability of an email to be a junk (event) or not (non-event) for each of the data samples. Below is a figure that shows the distribution of the emails belonging to these classes in the data set. If the threshold T is set at 0.5, as shown in the above figure, what will the Receiver Operating Characteristic (ROC) curve look like? Select the correct answer from a, b, or c below:

You are given a training data set consisting of 10 data poin…

You are given a training data set consisting of 10 data points with a single predictor variable, x, and a numerical response, y, i.e., 10 () pairs. Upon fitting a simple linear regression model to this data set, you obtain an R2 value of 0.96. You also fit a cubic regression model to this data set. If the true relationship between the predictor variable and the numerical response variable is of the form: (i.e., quadratic), where takes a very small value, which of the following method would cause an overfitting on the training data set? Choose the correct answer from the following:

Given a multiple regression model: and the test of the null…

Given a multiple regression model: and the test of the null hypothesis: vs the alternate hypothesis: , if you perform an F test of the null hypothesis and the result is significant at level , then it is not necessary that at least 1 of the t tests of the predictor coefficients will be significant at level . Is the above statement true or false? Choose the correct answer from the following:

Section III Essay — Choose TWO of the below and write essay…

Section III Essay — Choose TWO of the below and write essays answering each in the space provided. Be sure to speak to every portion of the question. (14 pointes each) 1. Discuss the Peace of Paris that ended World War I. Who were the “Big Three” participating countries? Name one objective for each of these countries during the conference.  What were some of the potential problems with the Peace?  A number of countries were not invited or left the conference—name ONE and explain why. 2. The late 15th to early 17th centuries (some argue beyond) are known as the Age of Discovery. Several European countries were involved. What were the Europeans hoping to accomplish with these colonies (what were their goals overall)? How did did they interact with native populations? Did religion play a big role in these efforts? Name 3 of these countries; for each of these name one of their colonies. 3. Discuss three of the most significant individuals involved in the rise of Protestantism during the Reformation — one each from Germany, Switzerland (Geneva), and England.  What did each believe? How were their beliefs different from one other?