Let the three positive real numbers be x,y and z.
let sum of squares be:
put z in above function
Partially differenting the function g(x,y) and finding the critical points:
From the above two equtioan, we get:
Putting the value of x and y in
Using the second derivative test:
Therefore, the sum of squarers will be minimom if
Use the following linear regression equation to answer the questions.
(a) Which variable is the response variable?
(b) Which number is the constant term? List the coefficients with their corresponding explanatory variables.
(d) Explain how each coefficient can be thought of as a "slope" under certain conditions.