Regression help (basic statistics)

In summary, a multivariable linear regression model can be used to show correlation between race and test scores, income and test scores, etc., but certain conditions must be met for the model to be accurate.
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Homework Statement


Hello,

I have some data from a statewide standardized exam, and I am trying to do a regression model, but am having a bit of trouble. (Im a mathematician and not a statistician).

Basically, I am trying to show some type of correlation between race and test scores, income and test scores, etc.

Is it correct to set up a multivariable linear regression model with the different races as predictor variables?

Thanks


Homework Equations





The Attempt at a Solution

 
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Yes, it is possible to set up a multivariable linear regression model with the different races as predictor variables. However, you must ensure that all of the predictor variables are continuous (i.e. they are numerical rather than categorical) and that there is a linear relationship between the predictor variables and the test scores. Additionally, you should check for multicollinearity (correlation between predictor variables) to ensure that your model is accurate.
 

What is regression analysis?

Regression analysis is a statistical method used to examine the relationship between two or more variables. It is used to predict the value of one variable based on the values of other variables.

What are the types of regression?

The two main types of regression are linear regression and logistic regression. Linear regression is used when the dependent variable is continuous, while logistic regression is used when the dependent variable is binary (e.g. yes or no).

How is regression analysis performed?

Regression analysis is performed by fitting a line or curve to a set of data points that best represents the relationship between the variables. This line or curve is called the regression line or regression curve. The process involves choosing the best fitting line or curve based on a specific mathematical formula and using statistical measures to evaluate the accuracy of the model.

What is the purpose of regression analysis?

The purpose of regression analysis is to understand and quantify the relationship between variables. It can be used to predict future values, identify important variables, and identify trends or patterns in the data.

What are some common uses of regression analysis?

Regression analysis is commonly used in many fields, including social sciences, business, finance, and healthcare. It is used to predict stock prices, analyze market trends, determine the effect of advertising on sales, and identify risk factors for diseases. It is also used in research studies to examine the relationship between variables and to make predictions based on collected data.

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