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?