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2 Lec Q - Linear Regression and Regression Analysis Quiz

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2 Lec Q - Linear Regression and Regression Analysis Quiz

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Questions and Answers

Which equation represents the estimated regression equation in simple linear regression?

ŷ = B₂ - B,₁x

ŷ = B + B₁x (correct)

ŷ = B,₁x + B₂

ŷ = B,₁x - B₂

Which assumption of simple linear regression?

Random, Independence

Linearity

Equal Variance

Normality + All of the above (correct)

In multiple linear regression, how is the estimated regression equation different from simple linear regression?

It includes multiple independent variables

It includes multiple dependent variables

It includes multiple slope parameters (correct)

It includes multiple intercepts

What is the purpose of adjusted R-squared in multiple linear regression?

To account for the number of independent variables used for predicting the target variable Signup and view all the answers

What is multicollinearity in multiple linear regression?

Correlation between independent variables (correlated predictors) - VIF detection Signup and view all the answers

What does VIF stand for in the context of multiple linear regression?

Variance Inflation Factor Signup and view all the answers

Which equation represents a multiple linear regression model with more than one slope parameter?

Y = B + B₁x₁ + B₂x₂. + … + B x + Ɛ Signup and view all the answers

Which of the following is an indication to use regression?

To characterize the relationship between y and x controlling for effects of some other variables + All of the following Signup and view all the answers

What is the main difference between simple linear regression and multiple linear regression?

Simple linear regression has one independent variable, while multiple linear regression has two or more independent variables Signup and view all the answers

When is regression analysis typically used?

When there is a need to predict the value of a dependent variable based on one or more independent variables Signup and view all the answers

What type of variables can the dependent variable be in linear regression analysis?

Continuous or interval Signup and view all the answers