Method used: In order to find the maximum and minimum values of a function f(x, y, z) that is subjected to the constraint
a) Find the values x, y, z and
b) Compute the values at the points from step a and find the maxomum and minimum values of f.
Calculation: It is given that the plane is
Fint
Let AB = Im, where A is an m×n matrix and B is an n×m matrix. If y ∼ MVN(μ,In) and BA is symmetric, find the distribution of yT BAy.
Find the expected count and the contribution to the chi-square statistic for the (Treatment, Disagree) cell in the two-way table below.
Strongly Agree | Agree | Neutral | Disagree | Strongly Disagree | |
---|---|---|---|---|---|
Control | 35 | 48 | 3 | 14 | 9 |
Treatment | 56 | 43 | 11 | 5 | 0 |
The quadratic function