What type of visualization tool is commonly used to initially assess the relationship between two continuous variables in linear regression?
Scatter plot
Bar chart
Pie chart
Histogram
What is the method used in linear regression to estimate the model parameters that minimize the sum of squared errors?
Method of Moments
Maximum Likelihood Estimation
Least Squares Estimation
Bayesian Estimation
What is the main difference between forward selection and backward elimination in linear regression?
Forward selection is used for classification, while backward elimination is used for regression.
Forward selection starts with no features and adds one by one, while backward elimination starts with all features and removes one by one.
Forward selection starts with all features and removes one by one, while backward elimination starts with no features and adds one by one.
There is no difference; both techniques achieve the same outcome.
What is the ideal shape of a residual plot for a well-fitted linear regression model?
Random scatter with no discernible pattern.
A straight line.
A U-shape.
An inverted U-shape.
In the context of linear regression, what is an error term?
The difference between the slope and the intercept of the regression line.
The difference between the observed value of the dependent variable and the predicted value.
A mistake made in collecting or entering data.
The variation in the independent variable.
What does the linearity assumption in linear regression imply?
The data points are evenly distributed around the regression line.
The independent variables are unrelated to each other.
The dependent variable must have a normal distribution.
The relationship between the dependent and independent variables can be best represented by a straight line.
Which of these is a common visual tool for diagnosing heteroscedasticity?
Scatter plot of residuals vs. predicted values
Normal probability plot
Box plot
What is the purpose of the coefficient of determination (R-squared) in linear regression?
To determine the statistical significance of the model.
To measure the proportion of variation in the dependent variable explained by the independent variable(s).
To assess the linearity assumption of the model.
To identify the presence of outliers in the data.
What graphical tool is commonly used to visualize the relationship between two continuous variables in linear regression?
What does a correlation coefficient of 0 indicate?
A strong negative linear relationship
A strong positive linear relationship
A perfect linear relationship
No linear relationship