Curve Fitting and Linear Regression
a) Determine the linear regression equation
for the measured values in the table above.
??
1
2
3
4
Value 1 (????)
0
3
7
10
Value 2 (????)
2
4
9
11
b) Plot the points and the linear
regression curve.
c) Determine the Linear Correlation
Coefficient (i.e., Pearson’s r) for the dataset in the
table above.
Regression
Make a distinction between simple linear and multiple linear
regression. Can you think of examples in your business world where
these techniques are or should be applied? Share the details, where
possible.
What is the goal of nonlinear regression fitting?
Why would one choose nonlinear regression over linear
regression of a linearized model function?
Do you need to provide initial guesses for the model parameters
in linear regression? In nonlinear regression? Explain the
differences.
Can someone help me
answer these questions? This is for a design of experiments class.
I just want to make sure that I fully understand this stuff because
the explanations online are slightly misleading.
Make a distinction between simple linear and multiple linear
regression. Can you think of examples in your business world where
these techniques are or should be applied? Share the details, where
possible.
Explain why you choose multiple regression with dummy variables
but not linear trend model and why do you believe this technique is
appropriate to forecast your data?
Give an example of omitted variable bias in a multiple linear
regression model. Explain how you would figure out the probable
direction of the bias even without collecting data on this omitted
variable. [3 marks]
When fitting a multiple regression model, you should check for
independence of observations and the absence of multicollinearity.
Discuss how you would check appropriate statistics and/or
plots.
(a) When we run a multiple regression, we hope to be able to
generalize the sample model to the entire population. To do this,
several assumptions must be met including: No Multicollinearity
Homoscedasticity Independent Errors Normally-distributed
Errors
Explain what is meant by each of these assumptions and describe the...