This page lists down **40 regression (linear/univariate, multiple/multilinear/multivariate) interview questions** (in form of **objective questions**) which may prove to be helpful for **Data Scientists / Machine Learning** enthusiasts. Those appearing for interviews for machine learning/data scientist freshers/intern/beginners positions would also find these questions very helpful and handy enough to quickly brush up / check your knowledge and prepare accordingly.

### Practice Tests on Regression Analysis

These **interview questions** are split into four different **practice tests with questions and answers** which can be found on following page:

- Linear, Multiple regression interview questions and answers – Set 1
- Linear, Multiple regression interview questions and answers – Set 2
- Linear, Multiple regression interview questions and answers – Set 3
- Linear, Multiple regression interview questions and answers – Set 4

### Regression Topics covered in these Practice Tests

Some of the following topics have been covered in these questions and answers:

- Introduction to linear (univariate) and multi-linear / multiple (multivariate) regression
- Concepts related with the coefficient of determination vis-a-vis Pearson correlation coefficient
- Evaluation of regression models using different techniques such as t-tests, analysis of variance f-tests
- Sum of squares calculations and related concepts
- Concepts related with R-squared, adjusted R-squared

### Linear / Multi-linear Regression Questions and Answers

- In simple linear regression, there is _______ dependent variable and ________ independent variable(s)
- One, multiple
- Multiple, one
- One, one
- Multiple, multiple

- In multi-linear regression, there is _______ dependent variable and ________ independent variable(s)
- Multiple, one
- One, multiple
- Multiple, multiple
- One, one

- It is OK to add independent variables to a multi-linear regression model as it increases the explained variance of the model and makes the model more efficient
- True
- False

- Linear or multilinear regression helps in predicting _______
- Continuous valued output
- Discrete valued output

- Linear regression analysis helps in studying __________ relationship between variables.
- Deterministic
- Statistical

- Linear regression analysis helps in doing which of the following?
- Causal analysis
- Effects in forecasting
- Forecasting trends
- All of the above

- The best fit line is achieved by finding values of the parameters which minimizes the sum of __________
- Sum of squared regression (SSR)
- Sum of squared residuals/errors (SSE)
- Sum of squares total (SST)

- Best fit line is also termed as _______
- Maximum squares regression line
- Least squares regression line

- Which of the following can be used to understand the statistical relationship between dependent and independent variables in linear regression?
- Coefficient of determination
- Correlation coefficient
- Both of the above
- None of the above

- It is absolutely OK to state that correlation does imply causation
- True
- False

- The value of coefficient of determination, R-squared, is _________
- Less than 0
- Greater than 1
- Between 0 and 1

- Which of the following can be used to understand the positive or negative relationship between dependent and independent variables
- Coefficient of determination
- Pearson correlation coefficient
- Both of the above
- None of the above

- The goal of the regression model is to achieve the R-squared value ________
- Closer to 0
- Closer to 1
- More than 1
- Less than 1

- Pearson correlation coefficient does always have a positive value
- True
- False

- Value of Pearson correlation coefficient near to zero represents the fact there is a stronger relationship between dependent and independent variables
- True
- False

- Population correlation coefficient and sample correlation coefficient are one and the same
- True
- False

- The value of the Pearson correlation coefficient falls in the range of _________
- 0 and 1
- 0 and -1
- -1 and 1
- 1 and 2

- The large value of R-squared can be safely interpreted as the fact that the estimated regression line fits the data well.
- True
- False

- The value of R-squared does not depend upon the data points; Rather it only depends upon the value of parameters
- True
- False

- The value of correlation coefficient and coefficient of determination is used to study the strength of the relationship in ________
- Samples only
- Both Samples and Population
- Population only

- Which of the following tests can be used to determine whether a linear association exists between the dependent and independent variables in a simple linear regression model?
- T-test
- ANOVA F-test
- Both of the above
- None of the above

- In order to estimate population parameter, the null hypothesis is that the population parameter is ________ to zero?
- Equal
- Not equal

- Which of the following can be used for learning the value of parameters for the regression model for population and not just the samples?
- Hypothesis testing
- Confidence intervals
- Both of the above
- None of the above

- The value of R-Squared _________ with the addition of every new independent variable?
- May increase or decrease
- Always increases
- Always decreases

- In order to reject the null hypothesis while estimating the population parameter, p-value has to be _______ given 0.05 is set as significance level
- More than 0.05
- Less than 0.05

- The value of ____________ may increase or decrease based on whether a predictor variable enhances the model or not
- R-squared
- Adjusted R-squared

- The value of Adjusted R-squared _________ if the predictor variable enhances the model less than what is predicted by chance?
- Increases
- Decreases

- In regression model t-tests, the value of t-test statistics is equal to ___________?
- Coefficient divided by Standard error of the coefficient
- Standard error of coefficient divided by coefficient
- Coefficient plus standard error of the coefficient

- In ANOVA test for regression, degrees of freedom (regression) is _________
- Equal to the number of parameters being estimated
- One more than the number of parameters being estimated
- One less than the number of parameters being estimated

- In ANOVA test for regression, degrees of freedom (regression) is _________
- Equal to the number of predictor variables
- One more than the number of predictor variables
- One less than the number of predictor variables

- For SST as the sum of squares total, SSE as the sum of squared errors, and SSR as the sum of squares regression, which of the following is correct?
- SST = SSR – SSE
- SST = SSR + SSE
- SST = SSR/SSE

- The value of coefficient of determination is which of the following?
- SSR / SST
- SSE / SST

- Mean squared error can be calculated as _______
- Sum of squares residuals or error/degrees of freedom
- Sum of squares regression/ degrees of freedom
- Sum of squares total/ degrees of freedom

- Sum of Squares Regression (SSR) is ________
- Sum of Squares of predicted value minus the average value of the dependent variable
- Sum of Squares of Actual value minus predicted value
- Sum of Squares of Actual value minus the average value of the dependent variable

- Sum of Squares Error (SSE) is ________
- Sum of Squares of predicted value minus the average value of the dependent variable
- Sum of Squares of Actual value minus predicted value
- Sum of Squares of Actual value minus the average value of the dependent variable

- Sum of Squares Total (SST) is ________
- Sum of Squares of predicted value minus the average value of the dependent variable
- Sum of Squares of Actual value minus predicted value
- Sum of Squares of Actual value minus the average value of the dependent variable

- ______ the value of the sum of squares regression (SSR), better the regression model
- Greater
- Lesser

- The objective for regression model is to minimize ______ and maximize ______
- SSR, SSE
- SSE, SSR
- SSR, SST
- SSE, SST

- Which of the following can be used to test the hypothesis that there exists a linear regression model with at least one predictor variable?
- F-test
- T-test

- Which of the following is the ratio of explained variance and unexplained variance in relation to doing hypothesis testing with regression model?
- T-statistics
- F-statistics

Hope you would find the above set of questions along with practice tests related to linear/multiple regression useful for next/upcoming interviews in relation to the data scientist/machine learning engineer position.

In case, you want to get a hold of a **PDF** file listing down **questions and answers**, here is the **document**: Linear regression interview questions and answers (PDF).

## References

Here are some of my other posts in relation to linear regression:

**Building linear regression models**- Linear regression explained with python examples: The concepts such as residual error, SSE (Sum of squares residual error), SSR (Sum of Squares Regression), SST (Sum of Squares Total), R-Squared, etc have been discussed with diagrams. A linear regression model is trained with Sklearn Boston housing data set using Sklearn.linear_model LinearRegression implementation

**Assessing regression model performance**- R-squared in linear regression – Concepts, Examples: This blog describes the concepts of R-squared which is a metric used for assessing the performance of linear regression model. R-squared represents the fraction of variance explained by the regression model.
- R-squared vs Adjusted R-squared – Differences, Examples: This blog describes the concepts of R-squared and adjusted R-squared along with the differences and why you should choose one over the other.
- Mean Squared Error (MSE) or R-Squared: Which one to use?: Linear regression model performance metrics such as MSE and R-Squared with Python code examples have been discussed.

**Linear regression & hypothesis testing**- Linear regression hypothesis testing example: This blog post explains concepts in relation to how T-tests and F-tests are used to test different hypotheses in relation to the linear regression model. T-tests are used to test whether there is a relationship between response and individual predictor variables. F-test is used to test whether there exists a linear regression model representing the problem statement.
- Linear regression & T-test: The blog post explains the concepts in relation to how T-tests are used to test the hypotheses related to the relationship between response and predictor variables.
- How to interpret F-statistics in linear regression model: This blog explains the concepts of F-statistics and how they can be used to test the hypothesis of whether there exists a linear regression comprising of predictor variables.

- Support Vector Machine (SVM) Python Example - January 28, 2023
- Paired Sample T-Tests: Formula, Examples - January 27, 2023
- Hidden Markov Models: Concepts, Examples - January 27, 2023

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