MS-DS Master of Data science FREE Master of Data Science: Statistical Inference & Regression Models Questions and Answers 2

Question 1

In multiple linear regression, what does a Variance Inflation Factor (VIF) greater than 10 typically indicate?

Accepted Answer

Severe multicollinearity among predictors

Answer

A VIF exceeding 10 signals that a predictor is highly correlated with other predictors, indicating severe multicollinearity.

Question 2

Which assumption is tested by the Breusch-Pagan test in a regression model?

Accepted Answer

Homoscedasticity of residuals

Answer

The Breusch-Pagan test checks whether the variance of residuals is constant across levels of the fitted values (homoscedasticity).

Question 3

What is the primary purpose of a confidence interval for a regression coefficient?

Accepted Answer

To estimate the range of plausible values for the true population parameter

Answer

A confidence interval for a regression coefficient provides a range within which the true population parameter is likely to fall at a given confidence level.

Question 4

In logistic regression, what does the odds ratio represent when an independent variable increases by one unit?

Accepted Answer

The multiplicative change in the odds of the outcome

Answer

The odds ratio in logistic regression represents how the odds of the outcome are multiplied for each one-unit increase in the predictor.

Question 5

When performing a likelihood ratio test comparing a full model to a reduced model, the test statistic follows which distribution under the null hypothesis?

Accepted Answer

Chi-squared distribution

Answer

The likelihood ratio test statistic, calculated as -2 times the log-likelihood difference, follows a chi-squared distribution with degrees of freedom equal to the difference in parameters.

MS-DS Master of Data science Practice Test

MS-DS Master of Data science Practice Test

MS-DS Master of Data science FREE Master of Data Science: Statistical Inference & Regression Models Questions and Answers 2