Describe the connection between a correlation and a bivariate regression analysis. In your discussion, specifically note:...

Describe the connection between a correlation and a bivariate regression analysis. In your discussion, specifically note: 1) statistical significance, 2) sign, and 3) use or application.

Expert Solution

Please don't hesitate to give a "thumbs up" for the answer in case the answer has helped you

Regression describes how an independent variable is numerically related to the dependent variable. It does cover to a good extend also the "strength " of the relationship between 2 variables ( statistical significance ) and its direction. ( sign)

Correlation coefficient indicates the extent to which two variables move together - i.e. only the strength and direction of the relationship

Thus correlation and regression are connected to each other in the above way.

Correlation can be used as an alternative of bivariate regression in case you want to get an idea of the direction of relationship ( sign), whether its worth testing for statistical significance ( through bivariate charts etc.), and because they have the same application. Regression go an extra mile by giving out the exact relation between the 2 variables.

milcah answered 1 year ago

Intro Discussion and Questions- Regression and Correlation: How does correlation analysis differ from regression analysis? What...

Intro Discussion and Questions- Regression and Correlation: How does correlation analysis differ from regression analysis? What are the goals of each? What does the correlation coefficient r measure? Be specific. What values can it take on? What do the values indicate? What values can the coefficient of determination take on? What does it measure? What are some of the limitations of simple linear regression? Describe the equation for multiple linear regression; be sure to clearly define all of its parts....

2. Describe the difference between correlation and prediction (regression) analysis approaches?

Write a few sentences comparing bivariate correlation and bivariate regression. You need to discuss when it...

Write a few sentences comparing bivariate correlation and bivariate regression. You need to discuss when it is appropriate to use each of these statistics.

What is the real difference between between correlation and regression analysis? I see that correlation allows...

What is the real difference between between correlation and regression analysis? I see that correlation allows us to examine whether two variables exhibit some kind of association with each other. Does correlation mean means that one variable is dependent on another? Is this an example of correlation - Tips are dependent on the actual restaurant bill? Can you give other examples of correlation and regression? Thanks.

What are the differences between bivariate regression and multiple regression?

Regression and correlation analysis both describe the strength of linear relationships between variables. Consider the concepts...

Regression and correlation analysis both describe the strength of linear relationships between variables. Consider the concepts of education and income. Many people would say these two variables are related in a linear fashion. As education increases, income usually increases (although not necessarily at the same rate). Can you think of two variables that are related in such a way that their relationship changes over their range of possible values (i.e., in a curvilinear fashion)? How would you analyze the relationship...

1. Distinguish between a bivariate regression model and a multiple regression.

Using your calculator, run a regression analysis on the following bivariate set of data with y...

Using your calculator, run a regression analysis on the following bivariate set of data with y as the response variable. x y 71.2 23.1 90.8 122.9 88.8 82.9 57.7 18.3 71.4 8.6 60.4 25.9 60.2 -43.1 88.5 77.4 68.2 -5.9 41.1 -83 61.4 -2.5 87.1 39.4 Find the correlation coefficient and report it accurate to three decimal places. r = What proportion of the variation in y can be explained by the variation in the values of x? Report answer...

Explain the difference between correlation analysis and regression analysis. Give an example of a lurking variable....

Explain the difference between correlation analysis and regression analysis. Give an example of a lurking variable. If a statistician computed a value of r = -2.83 what would you tell that statistician? Under what circumstances can we calculate r? Can the regression equation be assumed to hold 100 years from now? Are there other correlation coefficients other than the Pearson Product Moment Correlation Coefficient

Discussion Prompt 2: Correlation and Regression Correlation and regression are two important terms in statistics. Select...

Discussion Prompt 2: Correlation and Regression Correlation and regression are two important terms in statistics. Select an area that interests you and use it to answer the following: Explain the difference between correlation and regression using examples Explain the different types of regression using examples

Question