Home
Recent Q&A
Java
Cloud
JavaScript
Python
SQL
PHP
HTML
C++
Data Science
DBMS
Devops
Hadoop
Machine Learning
Azure
Blockchain
Devops
Ask a Question
What are the assumptions required for linear regression? What if some of these assumptions are violated?
Home
Data Science
What are the assumptions required for linear regression? What if some of these assumptions are...
+2
votes
asked
May 28, 2021
in
Data Science
by
sharadyadav1986
What are the assumptions required for linear regression? What if some of these assumptions are violated?
linear-regression
assumptions
data-science
Please
log in
or
register
to answer this question.
1
Answer
0
votes
answered
May 28, 2021
by
sharadyadav1986
The assumptions are as follows:
The sample data used to fit the model is representative of the population
The relationship between X and the mean of Y is linear
The variance of the residual is the same for any value of X (homoscedasticity)
Observations are independent of each other
For any value of X, Y is normally distributed.
Extreme violations of these assumptions will make the results redundant. Small violations of these assumptions will result in a greater bias or variance of the estimate.
Related questions
+2
votes
Q: What is a Linear Regression?
asked
May 30, 2022
in
Data Science
by
sharadyadav1986
linear-regression
+3
votes
Q: We can compute the coefficient of linear regression by using
asked
Oct 26, 2022
in
Machine Learning
by
Robin
machine-learning
linear-regression
+2
votes
Q: In linear regression, we try to ______ the least square errors of the model to identify the line of best fit.
asked
Oct 26, 2022
in
Machine Learning
by
Robin
linear-regression
machine-learning
0
votes
Q: Which of the following assumptions do we make while deriving linear regression parameters?
asked
Dec 31, 2019
in
Data Science
by
sharadyadav1986
#regression-parameters
+3
votes
Q: Explain what a false positive and a false negative are. Why is it important these from each other?
asked
May 27, 2021
in
Data Science
by
sharadyadav1986
data-science
false-negative
0
votes
Q: Suppose you are training a linear regression model. Now consider these points.
asked
Dec 31, 2019
in
Data Science
by
sharadyadav1986
#linear-regression
+1
vote
Q: What would you do if you and your team disagreed on the best approach to take?
asked
Apr 5, 2023
in
Data Science
by
Robin
data-science
+1
vote
Q: How can you tell if a given coin is biased?
asked
May 29, 2021
in
Data Science
by
Robindeniel
data-science
data-probability
+1
vote
Q: What does NLP stand for?
asked
May 27, 2021
in
Data Science
by
sharadyadav1986
nlp
data-science
data-nlp
+1
vote
Q: What is required to become a data analyst?
asked
May 21, 2021
in
Data Analytics
by
SakshiSharma
data-analyst
data-science
data-scientist
...