After you completed your exam, scan your solution pages into…

After you completed your exam, scan your solution pages into a single PDF, name it Midterm1_Student Name (example: Midterm1_JohnSmith).  Before uploading, verify your file has all the pages you need to submit. Upload it by clicking on “Choose a File” button in “Question 1” below. You are only allowed to upload one file to a question. Then click “Submit Quiz”. You may get a warning saying that you have some unanswered questions if you do not use optional file upload sections, click OK to submit anyway. View quiz document here. Use double-sided arrow icon on the tool bar below to preview it in full screen mode. You can also download it by clicking on the downwards arrow to the right of the exam file and open it on your computer. ECE6254_MIDTERM1_2025Spring.pdf

Suppose we have a multivariate dataset on used Honda HRVs. F…

Suppose we have a multivariate dataset on used Honda HRVs. Further assume that this data consist of below information on a random sample of 100 Honda HRVs. The quantitative variables of interest are: price: Listed sale price mileage: Mileage of the vehicle.  age: Age of the vehicle  Let denote the variable measurement for the  vehicle.  Using notation consistent with this course, what would the dimension of the data matrix be for this situation? That is, how many rows and how many columns would there be? What would the dimensions of the sample mean vector and the sample covariance matrix be for this situation? Would you expect the covariance between and to be zero or not? Explain your answers in the context of this situation. Would you expect the covariance between and to be zero or not? Explain your answers in the context of this situation.

Perspiration information was collected from a random sample…

Perspiration information was collected from a random sample of 20 healthy females. For each subject they have information on sweat rate, sodium content in the sweat and potassium content in the sweat. Below provided are interval estimates for corresponding means calculated at the individual 90% confidence level. Mean Lower Bound Upper Bound Sweat rate 3.98 5.30 Sodium  33.93 50.87 Potassium  9.23 10.70   What is meant by “individual” 90% confidence here? How is this different from “simultaneous” confidence interval? Without doing any modifications, if these intervals are to be interpreted as Bonferroni simultaneous intervals, what confidence level would be applied to each them?