Solution Found!
Suppose you have developed a regression model to
Chapter 12, Problem 132SE(choose chapter or problem)
Suppose you have developed a regression model to explain the relationship between y and \(x_1\), \(x_2\), and \(x_3\). The ranges of the variables you observed were as follows: \(10\ \leq\ y\ \leq\ 100,\ 5\ \leq\ x_1\ \leq\ 55,\ .5\ \leq\ x_2\ \leq\ 1,\ \text{and}\ 1,000\ \leq\ x_3\ \leq\ 2,000\). Will The error of prediction be smaller when you use the least squares equation to predict y when \(x_1\) = 30, \(x_2\) = .6,and \(x_3\) = 1,300, or when \(x_1\) = 60, \(x_2\) = .4, and \(x_3\) = 900?Why?
Questions & Answers
QUESTION:
Suppose you have developed a regression model to explain the relationship between y and \(x_1\), \(x_2\), and \(x_3\). The ranges of the variables you observed were as follows: \(10\ \leq\ y\ \leq\ 100,\ 5\ \leq\ x_1\ \leq\ 55,\ .5\ \leq\ x_2\ \leq\ 1,\ \text{and}\ 1,000\ \leq\ x_3\ \leq\ 2,000\). Will The error of prediction be smaller when you use the least squares equation to predict y when \(x_1\) = 30, \(x_2\) = .6,and \(x_3\) = 1,300, or when \(x_1\) = 60, \(x_2\) = .4, and \(x_3\) = 900?Why?
ANSWER:Step 1 of 2
Here we have the following ranges for the given response and explanatory variables.