For the orthogonal matrix verify that (Ax. Ay) = (x. y) for any vectors x and y in

Business Stats 2283 Chapter 1 Statistics: Mathematical science that deals w/ the collection, analysis, and presentation of data, which then can be used as a basis for inference. EXAMPLES OF HOW BUSINESS STATSARE USED: Marketing: market tracking such as customer satisfaction, focus groups, customer surveys. Advertising: TV viewing, telemarketer, door to door household surveys Operations: quality and inventory control Finance: loans, credit, all data on income as company or small business, Data: values that are assigned to observations or measurements made by company or small busi- ness Information: Data that is taken and then transformed into useful facts that can be used for a spe- cific purpose Primary Data Collection Methods: Direct observation or focus group—> a group of parents with kids aged between 13-17 meet af- ter school to discuss how to help their children succeed in school Experiments—> treatment is applied in controlled conditions. Data may come out altered if sub- ject know they are being treated. Surveys or Questionnaires—> taking a satisfaction survey or opinion survey The manner in which survey questions are asked can affect the subjects response. Bias: occurs when a question is stated in a way that encourages or leads a respondent to a partic- ular answer. Two Types of Data Include: 1)Qualitative: when descriptive statements can be made about a subject based on interviews, ob- servations, or evaluations. example: having two students side by side with each other and seeing