What is the main advantage(s) of quantile regression? How does
quantile regression differ from least-squares regression...
What is the main advantage(s) of quantile regression? How does
quantile regression differ from least-squares regression (linear
regression)? Illustrate your answer with an example.
What is the least squares method and how is it used to find the
estimated regression equation? What is the role of least squares
method in calculating coefficient of determination? Explain
What is the least squares method and how is it used to find the
estimated regression equation? What is the role of least squares
method in calculating coefficient of determination? Explain.
What is the least squares method and how is it used to find the
estimated regression equation? What is the role of least squares
method in calculating coefficient of determination? Explain.
What is the least squares method and how is it used to find the
estimated regression equation? What is the role of least squares
method in calculating coefficient of determination? Explain.
What are Least Squares Assumptions for simple linear regression?
For each least
squares assumption, provide an example in which the assumption is
valid, then provide
an example in which the assumption fails.
What is the purpose of Linear Regression? How does it differ
from basic correlation? When is it appropriate for use? Describe a
study for which you would use Linear Regression for statistical
analysis.
a) What is the difference between regression and
interpolation?
b) Use least squares regression to fit a straight line to the data
given in Table 1 and
calculate the y value corresponding x=3.
c) Find the Lagrange interpolating polynomial using the data given
in Table 1 and
calculate the y value corresponding x=3.
Table 1
x
0
2
4
6
y
5
6
3
8
Intro Discussion and Questions- Regression and Correlation:
How does correlation analysis differ from regression analysis?
What are the goals of each?
What does the correlation coefficient r measure? Be specific.
What values can it take on? What do
the values indicate?
What values can the coefficient of determination take on? What
does it measure?
What are some of the limitations of simple linear
regression?
Describe the equation for multiple linear regression; be sure to
clearly define all of its parts....