Modeling With Polynomial
Quiz
•
Mathematics
•
University
•
Practice Problem
•
Hard
Barbara White
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following statements are true?
I. A regression equation with k independent variables has k regression coefficients.
II. Regression coefficients (bo, b1, b2, etc.) are variables in the regression equation.
III. The principle of least squares calls for minimizing the sum of the squared residuals.
I only.
II only.
III only
All of the above
None of the above.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which one of the statement is true regarding residuals in regression analysis?
Mean of residuals is always zero
Mean of residuals is always less than zero
Mean of residuals is always greater than zero
There is no such rule for residuals.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following step / assumption in regression modeling impacts the trade-off between under-fitting and over-fitting the most.
The polynomial degree
When we learn the weights by matrix inversion or gradient descent
The use of a constant-term
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A Polynomial provides the best approximation of the relationship between the dependent and independent variable.
TRUE
FALSE
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For the polynomial regression model,
you need new estimation techniques since the OLS assumptions do not apply any longer.
the techniques for estimation and inference developed for multiple regression can be applied.
you can still use OLS estimation techniques, but the
t-statistics do not have an asymptotic normal distribution.
the critical values from the normal distribution have to be changed to nth power
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