Assume a model with 1 numerical explanatory variable (x1) and 1 categorical explanatory variable with 2 category levels (Red, Blue). Further assume the model includes the possibility that the relationship between the numerical explanatory variable and the response depends on the levels of the categorical variable (include an interaction between the numerical and categorical variable).
x2 is defined to take the value of 1 for Red and 0 for Blue.
The population model is μy=β0+β1x1+β2x2+β3x1x2
The simplified version of the model for the red category is the following:
Assume a model with 1 numerical explanatory variable (x1) and 1 categorical explanatory variable with 2...
1- Assume one of the an explanatory a variable (named X1) in your logistic regression is a categorical variable with the following levels: low, average and high, and another explanatory variable (named X2) is also categorical with the following levels: Sydney and Melbourne. Explain how you will use them in developing your logistic regression model. How many coefficients you will have in your final model? 2.Give two examples related to your discipline that you need to apply over sampling partitioning...
1. Consider the following simple regression model: y = β0 + β1x1 + u (1) and the following multiple regression model: y = β0 + β1x1 + β2x2 + u (2), where x1 is the variable of primary interest to explain y. Which of the following statements is correct? a. When drawing ceteris paribus conclusions about how x1 affects y, with model (1), we must assume that x2, and all other factors contained in u, are uncorrelated with x1. b....
Decide (with short explanations) whether the following statements are true or false. e) In a simple linear regression model with explanatory variable x and outcome variable y, we have these summary statisties z-10, s/-3 sy-5 and у-20. For a new data point with x = 13, it is possible that the predicted value is y = 26. f A standard multiple regression model with continuous predictors and r2, a categorical predictor T with four values, an interaction between a and...