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Mean center the continuous variables "MND" and "UTI." Why might a researcher choose to mean center a variable?

Create dummy coded variables for the variable "StressLevel." Why is (dummy) coding variables useful in regression models?

Write out the linear model being tested by this research question. Remember to use the variable names in place of X and include all levels of your dummy coded variable

IntentToStay 3.80, 2.50, 2.70, 2.30, 2.90, 3.60, 3.90, 3.70, 3.30, 4.00, 3.40, 3.40, 2.70, 3.30, 3.00, 3.20, 3.20, 3.50, 3.60, 2.80, 2.90, 2.40, 3.60, 3.30, 3.00, 3.10, 3.60, 2.20, 3.00, 2.70,, 3.50, 3.50, 3.70, 3.20, 2.90, 2.50, 2.90, 3.70, 3.80, 3.60, 3.80, 3.70, 2.60, 3.30

MND 3.33, 3.00, 3.67, 4.33, 5.00, 3.00, 2.67, 5.00, 5.00, 2.67, 2.00, 5.00, 3.33, 3.67, 2.33, 2.00, 5.00, 4.33, 4.00, 5.00, 5.00, 4.33, 4.33, 5.00, 3.33, 4.00, 2.33, 5.00, 5.00, 4.33, 3.67, 3.00, 2.00, 5.00, 3.67, 5.00, 5.00, 5.00, 1.67, 3.00, 2.33, 2.33, 5.00, 4.33

UTI 4.75, 4.50, 4.00, 2.50, 4.00, 4.00, 5.00, 2.75, 1.50, 4.00, 4.50, 3.50, 2.50, 3.75, 4.25, 3.00, 2.00, 3.50, 2.25, 3.25, 3.25, 4.00, 3.25, 2.00, 3.00, 4.75, 2.75, 2.50, 2.50, 4.25, 3.75, 1.75, 2.75, 2.50, 3.50, 2.25, 2.75, 2.25, 4.50, 4.50, 3.00, 4.00, 2.00, 3.75

StressLevel 1, 3, 3, 3, 2, 1, 1, 3, 3, 1, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 2, 2, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3

Answer :

The reason why a researcher might choose to mean center a variable is to make the interpretation of the regression coefficients easier.

What's the research about?

Dummy coding is a way of representing categorical variables in a regression model. A dummy variable is a variable that takes on only two values, usually 0 and 1.

To dummy code the variable "StressLevel", we would create three new variables:

StressLevel_Low = 1 if StressLevel = 1, 0 otherwise

StressLevel_Medium = 1 if StressLevel = 2, 0 otherwise

StressLevel_High = 1 if StressLevel = 3, 0 otherwise

This would allow us to include the effect of StressLevel in the regression model, even though it is a categorical variable.

The linear model that can be used to test this question is:

IntentToStay = b0 + b1 * MND_centered + b2 * UTI_centered + b3 * StressLevel_Low + b4 * StressLevel_Medium + b5 * StressLevel_High

where:

b0 is the intercept of the model

b1 is the coefficient for the variable MND_centered

b2 is the coefficient for the variable UTI_centered

b3 is the coefficient for the variable StressLevel_Low

b4 is the coefficient for the variable StressLevel_Medium

b5 is the coefficient for the variable StressLevel_High

The coefficients b1, b2, b3, b4, and b5 represent the estimated effects of each of the independent variables on the dependent variable.

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