Please answer all the questions correctly. This is the final quiz and no multiple attempts.

(To be done by hand) Exploring his own drink-and-drive habits,a student recalls the last 7 parties that he attended. He records the number of cans of beer he drank, his highway speed on the way home, and whether he was stopped by policeUse the following statistical machine learning methods to predict whether or not the person will be stopped by police.(a) Tree. Draw a decision tree that can be used for this classification task. Label each node in order to make it clear how to use this tree for classification. What is the training error rate of this tree?(b) Prunning. Suppose the tree is pruned to just one split. If “speed" is the only variable used, what split minimizes the Gini idex? What is the Gini index for this split, and what is the training error rate of this tree?(c) Bagging. Four bootstrap samples from the given data are (listed by the party number): Bootstrap sample #1 − (1, 1, 2, 3, 4, 5, 6)Bootstrap sample #2 − (3, 4, 4, 5, 5, 7, 7)Bootstrap sample #3 − (3, 3, 4, 6, 7, 7, 7)Bootstrap sample #4 − (1, 2, 2, 2, 5, 5, 6)Draw a tree based on each bootstrap sample. Predict the out-of-bag data by the majority vote. Use these results to estimate the testing error rate of this method.Problem 2. (10 points)(To be done by hand) Multiple linear regression models are studied for eight different sets of data. Below are various kinds of residual plots. For each case, give a brief dignostics of the regression model and suggest a way to improve the model, if necessary.

Statistical application and the interpretation of data is important in health care. Review the statistical concepts covered in this topic. In a 750-1,000 word paper, discuss the significance of statistical application in health care. Include the following:Describe the application of statistics in health care. Specifically discuss its significance to quality, safety, health promotion, and leadership.Consider your organization or specialty area and how you utilize statistical knowledge. Discuss how you obtain statistical data, how statistical knowledge is used in day-to-day operations and how you apply it or use it in decision making.Three peer-reviewed, scholarly or professional references are required.Prepare this assignment according to APA Style Guide. An abstract is not required.