Coefficient of Determination

The purpose of this assignment is to learn about the coefficient of determination (R²) statistic as a measure of the fit of a regression line.

R² is a statistical measure of how close the data are to a fitted regression line. In general, the higher the R², the better the model fits your data. However, while R²measures goodness of fit, it does not indicate whether a regression model is adequate. You can have a low R² value for a good model or a high R² value for a model that does not fit the data.

Research about R².On the basis of your research and your involvement in public health functions, respond to the following:

• Find and state a definition of R² that you feel is easy to understand.
• In your own words, provide a substantive explanation of what R² represents.
• Explain what the statistic R² is used for in regression analysis.
• Explain how R² is affected by sample size.
• Describe whether a large R² value means that a regression is significant. Provide reasons for your answer.
• Describe how you would substantively interpret R².

Do NOT write in essay form. Just answer each question and please use references from the internet.