regression analysis, Mcqs

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1. What is the primary purpose of regression analysis?
A. To describe data
B. To compare means between groups
C. To predict the value of a dependent variable based on one or more independent variables
D. To test for associations between categorical variables
Answer: C

2. In a simple linear regression model, which variable is being predicted?
A. Independent variable
B. Dependent variable
C. Predictor variable
D. Explanatory variable
Answer: B

3. What does the coefficient of determination (R²) indicate in regression analysis?
A. The correlation between two variables
B. The proportion of the variance in the dependent variable that is predictable from the independent variable(s)
C. The average difference between observed and predicted values
D. The slope of the regression line
Answer: B

4. In the regression equation Y = a + bX, what does “b” represent?
A. The intercept
B. The slope
C. The predicted value of Y
D. The residual
Answer: B

5. What is a residual in regression analysis?
A. The difference between the observed and predicted values
B. The predicted value of the dependent variable
C. The slope of the regression line
D. The total sum of squares
Answer: A

6. Which of the following assumptions is NOT required for linear regression?
A. Linearity
B. Homoscedasticity
C. Normality of residuals
D. Independence of variables
Answer: D

7. What is multicollinearity in the context of multiple regression analysis?
A. The presence of correlation between independent variables
B. The presence of correlation between dependent variables
C. The presence of outliers
D. The violation of normality assumptions
Answer: A

8. What is the purpose of using a dummy variable in regression analysis?
A. To standardize variables
B. To handle missing data
C. To include categorical predictors in the regression model
D. To test for multicollinearity
Answer: C

9. Which of the following is a measure of the goodness-of-fit of a regression model?
A. Mean
B. Standard deviation
C. R²
D. Median
Answer: C

10. In multiple regression analysis, what does the adjusted R² account for?
A. The number of independent variables in the model
B. The mean of the dependent variable
C. The variance of the residuals
D. The total number of observations
Answer: A

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