Correlation and Coefficient of Determination

Topic Page

Questions

• What is the relationship between the slope of the least squares regression line and the correlation coefficient?
• How can adjusted r squared be negative?
• How do you calculate r squared by hand?
• How does r squared related to standard deviation?
• What are the bounds of an R-Squared value?
• What is the adjusted R-Squared?
• What is the relationship between R-Squared and the correlation coefficient of a model?
• What is the difference between the R-Squared and adjusted R-Squared when running a regression analysis?
• What are the limitations to using R-Squared as a measure of the validity of a model?
• Can an R-Squared value be greater than 1?
• Why doesn't an R-Squared value indicate anything about causation?
• Is a model with a high R-Squared value always better than one with a low R-Squared value?
• What is a correlation?
• Does a correlation between two random variables necessarily imply a direct relationship?
• Does a correlation between two random variables necessarily imply a causal relationship?
• What does a negative correlation coefficient mean about a scatter plot of the data?
• How should a scatter plot of data look if there is a negative correlation?
• How should a scatter plot of data look if there is a positive correlation?
• What is the difference between correlation and association?
• What does a correlation coefficient indicate about data?
• What defines a strong or weak correlation?
• How do you construct confidence interval for a correlation coefficient?
• What does it mean if the correlation coefficient between two variables is negative?
• What is the relationship between the correlation of two variables and their covariance?
• If two variables have a negative correlation, can they have a positive covariance?
• What does an R-Squared value show?
• What is the generalized R-Squared?
• When do you use a generalized R-Squared?
• For what statistical analyses can you determine an R-Squared?
• Can you determine the coefficient of determination from the correlation coefficient?
• Can you determine the correlation coefficient from the coefficient of determination?
• How is an R-Squared value affected by the over inclusion of explanatory variables?
• What is the difference between r and r-squared?
• What can be determined from an R-Squared value?
• Does an R-Squared value indicate that there is sufficient data for a conclusion?
• What is the partitioning of a regression?
• What is the explained sum of squares?
• What is the total sum of squares?
• What is the residual sum of squares?
• What is explained variance?
• Why do R-Squared values increase with the number of explanatory variables?
• Why is it possible for a model with a higher R-Squared value to be less accurate?
• If a single stock tends to rise when the S&P is down, is it positively or negatively correlated with the general market?
• Which of the following are negatively correlated?
• If the coefficient of determination is a positive value, then what kind of slope must the regression equation have?
• What does the regression equation y = .514x + 3.880 tell us? How would interpret the coefficient of determination: .264?
• What does a correlation coefficient represent?
• Why does having a strong linear correlation not imply causality?
• What key difference do experiments have that correlation studies do not have?
• What does correlation mean in a graph?
• What is the definition for zero correlation?
• How do you find the correlation of a scatter plot?
• Question #e918e