25 to 25 Regression Quiz

What is the primary objective of regression analysis?

• To explain variability in independent variables

• To explain variability in dependent variables

• To predict future outcomes

• To compare different datasets

Which of the following is NOT a class of application for regression analysis?

• Descriptive or explanatory

• Predictive

• Comparative

• Decision purpose

What type of scale must the dependent variable have in regression analysis?

• Nominal scale

• Ordinal scale

• Interval or ratio scale

• Qualitative scale

Which method is commonly used to estimate parameters in regression analysis?

• Method of least squares

• Method of maximum likelihood

• Weighted least squares

• All of the above

What does the slope in a simple regression model represent?

• The total variation in the dependent variable

• The average of the independent variable

• The intercept of the regression line

• The change in the dependent variable for a one-unit change in the independent variable

In regression analysis, what does R-squared (R²) indicate?

• The strength of the relationship between variables

• The proportion of variance in the dependent variable explained by the independent variables

• The average error of predictions

• The number of observations in the dataset

What is the purpose of the F-statistic in regression analysis?

• To test the significance of individual predictors

• To estimate the parameters of the model

• To test whether the overall regression model is significant

• To calculate the goodness of fit

Which of the following is a common assumption in regression analysis?

• The sample size must be less than 30

• The residuals are normally distributed

• The independent variables are perfectly correlated

• The dependent variable is normally distributed

What does multicollinearity refer to in regression analysis?

• The normal distribution of errors

• The independence of residuals

• The correlation among independent variables

• The correlation between the dependent variable and independent variables

What is the purpose of using dummy variables in regression analysis?

• To increase the sample size

• To represent continuous variables

• To represent categorical variables

• To simplify the regression equation