Question 1 Requires: fitting a linear model and MSE, PCR function, cross-validation, PCR with feature matrix Question 2 Requires: plotting w/ confidence intervals, fitting mpg, GAM and test errors

About Your Signature AssignmentThis signature assignment is designed to align with specific program student learning outcome(s) in your program. Program Student Learning Outcomes are broad statements that describe what students should know and be able to do upon completion of their degree. The signature assignments might be graded with an automated rubric that allows the University to collect data that can be aggregated across a location or college/school and used for program improvements.Purpose of Assignment The purpose of this assignment is for students to synthesize the concepts learned throughout the course. This assignment will provide students an opportunity to build critical thinking skills, develop businesses and organizations, and solve problems requiring data by compiling all pertinent information into one report. Assignment Steps Resources: Microsoft Excel®, Signature Assignment Databases, Signature Assignment Options, Part 3: Inferential StatisticsScenario: Upon successful completion of the MBA program, say you work in the analytics department for a consulting company. Your assignment is to analyze one of the following databases:ManufacturingHospitalConsumer FoodFinancial Select one of the databases based on the information in the Signature Assignment Options. Provide a 1,600-word detailed, statistical report including the following:Explain the context of the caseProvide a research foundation for the topicPresent graphsExplain outliersPrepare calculationsConduct hypotheses testsDiscuss inferences you have made from the results This assignment is broken down into four parts:Part 1 - Preliminary AnalysisPart 2 - Examination of Descriptive StatisticsPart 3 - Examination of Inferential StatisticsPart 4 - Conclusion/Recommendations Part 1 - Preliminary Analysis (3-4 paragraphs)Generally, as a statistics consultant, you will be given a problem and data. At times, you may have to gather additional data. For this assignment, assume all the data is already gathered for you.State the objective:What are the questions you are trying to address?Describe the population in the study clearly and in sufficient detail:What is the sample?Discuss the types of data and variables:Are the data quantitative or qualitative?What are levels of measurement for the data? Part 2 - Descriptive Statistics (3-4 paragraphs) Examine the given data.Present the descriptive statistics (mean, median, mode, range, standard deviation, variance, CV, and five-number summary).Identify any outliers in the data.Present any graphs or charts you think are appropriate for the data.Note: Ideally, we want to assess the conditions of normality too. However, for the purpose of this exercise, assume data is drawn from normal populations. Part 3 - Inferential Statistics (2-3 paragraphs)Use the Part 3: Inferential Statistics document.Create (formulate) hypothesesRun formal hypothesis testsMake decisions. Your decisions should be stated in non-technical terms.Hint: A final conclusion saying "reject the null hypothesis" by itself without explanation is basically worthless to those who hired you. Similarly, stating the conclusion is false or rejected is not sufficient. Part 4 - Conclusion and Recommendations (1-2 paragraphs)Include the following:What are your conclusions?What do you infer from the statistical analysis?State the interpretations in non-technical terms. What information might lead to a different conclusion?Are there any variables missing?What additional information would be valuable to help draw a more certain conclusion?Format your assignment consistent with APA format. Must include references in APA format

ContextA group of 75 college students from a liberal arts college were randomly sampled and asked about the number of alcoholic drinks they have in a typical week. The file containing the data is linked below. The purpose of this study (Links to an external site.) was to compare the drinking habits of the students at the college to the drinking habits of college students in general. In particular, the dean of students, who initiated this study, would like to check whether the mean number of alcoholic drinks that students at his college have in a typical week differs from the mean of U.S. college students in general, which is estimated to be 4.73.VariablesThe number of alcoholic beverages a student consumes in a week.Data: Hypothesis test results: Variable Sample Mean Std. Err. DF T-Stat P-value number of drinks per week 3.9333333 0.43592434 74 -1.8275343 0.0717PromptThe drinks datafile is available in the Data section below.Let μ be the mean number of alcoholic beverages that students in the liberal arts college drink in a typical week. State the hypotheses. Here is a histogram of the data. Can we safely use the t-test with this data? Explain. Perform the t-test using StatCrunch. (directions)Copy and paste the information from the StatCrunch output window into your initial post.Based on the P-value, state your conclusions in context. Use a 5% level of significance. NOTE: You do not need to double the P-value for this two-tailed test. StatCrunch calculates the P-value for you.Using the context of this scenario, explain the meaning of each of following items from the StatCrunch output for the hypothesis test. Std. Err (standard error)T-stat (T-score)P-valueEXAMPLE TO ANSWER 1. The hypotheses are:Ho: μ = 4.73Ha: μ ≠ 4.732. Although the histogram is skewed to the right, we can still do a t-test because n=75 which is more than 30.3.One sample T hypothesis test:μ : Mean of variableH0 : μ = 4.73HA : μ ≠ 4.73Hypothesis test results: Variable Sample Mean Std. Err. DF T-Stat P-value number of drinks per week 3.9333333 0.43592434 74 -1.8275343 0.0717 4. 2(0.0717)= 1.4341.434>0.05We do not have enough evidence to reject the null hypothesis that the average amount of alcoholic beverages that students at this college drink is the same as the national average.5. a) Std. Err. is the standard error, which is an estimate of how far from the actual mean a sample mean is likely to be.b) T-stat is T-score, which is used in a t-test to find evidence/lack of evidence of a significant difference between population means.c) The P-value measures the likelihood of getting results as extreme as the sample in a population where the null hypothesis is true.