Regression - response variable versus predictor variable. Provide examples of predictor variables that would be helpful...
Regression - response variable versus predictor variable. Provide examples of predictor variables that would be helpful in "predicting" a response variable. Also, what happens if these two are switched, that is, the "y" variable is used as the "x" variable.
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Regression - response variable versus predictor variable.
Provide examples of predictor variables that would be helpful...
In regression, we call Y the response or dependent variable, which is modeled in terms of...
In regression, we call Y the response or dependent variable, which is modeled in terms of one or more "independent" variables. The independent variables are further classified as explanatory/causal variables or as predictor variables. Discuss and elaborate on whether or not time can be a legitimate explanatory/causal variable, whether time can be a legitimate predictor variable whether a predictor variable must also be a causal/explanatory variable. Provide examples to support your arguments.
You have two variables: response variable=donate (yes or no) and the predictor variable is income (measured...
You have two variables: response variable=donate (yes or no) and the predictor variable is income (measured in dollars). Would you use ANOVA, Linear regression, or Logistic regression in this situation and why?
You have three variables: response variable=income and the predictor variables are years of college (measured in...
You have three variables: response variable=income and the predictor variables are years of college (measured in years) and years of experience (measured in years). Would you use ANOVA, Linear regression, or Logistic regression in this situation and why?
You have three variables: response variable=respond (yes or no) and the predictor variables are gender (male...
You have three variables: response variable=respond (yes or no) and the predictor variables are gender (male or female) and year in school (fr, so, jr, sr). Would you use ANOVA, Linear regression, or Logistic regression in this situation and why?
Q6). Suppose that you want to fit two separate regression lines on the same data set - For the first least square fit, Y is the response variable and X is the predictor variable For the second le...
Q6). Suppose that you want to fit two separate regression lines on the same data set - For the first least square fit, Y is the response variable and X is the predictor variable For the second least square fit, X is the response variable and Y is the predictor variable. (a). Show that the product of the slope estimates from the two regression lines is Show that the above two regression lines will never be perpendicular to each other...
You have three variables: response variable= student loan debt amount (measured in dollars) and the predictor...
You have three variables: response variable= student loan debt amount (measured in dollars) and the predictor variables are year in school (fr,so,jr,sr) and parents assisting (yes or no). Would you use ANOVA, Linear regression, or Logistic regression in this situation and why?
3. A response variable is related to a predictor variable through the quadratic regression model u...
3. A response variable is related to a predictor variable through the quadratic regression model u yıx(x) = -8.5– 3.2x + 0.7x2 (a) Give the rate of change of the regression function at x = 0, 2, and 3. (b) Express the model in terms of the centered vari- ables as jyjx(x) = Bo + B1(x – ux) + B2(x - ux)2. If ux = 2, give the values of Bo, B1, and B2. (Hint. Match the coefficients of the...
Provide an example (not used in class or the textbook) where regression would be used as...
Provide an example (not used in class or the textbook) where regression would be used as the analysis. Describe the predictor(s), the response variable, and explain whether
Consider a linear regression model with n predictor variables X1, . . ., Xk and a...
Consider a linear regression model with n predictor variables X1, . . ., Xk and a target variable y: y= β0+β1X1+…+βkXk+ε . We take n measurements of the predictor and target variables to obtain the following matrix equation: y=Xβ+εy:nx1, X:nxk+1 SSE=εTε, ε=y-Xβ Calculate the number of degrees of freedom of SSE.
In a regression analysis, if a predictor variable x is found to be highly significant we...
In a regression analysis, if a predictor variable x is found to be highly significant we would conclude that: A. a change in y causes a change in x B. a change in x causes a change in y C. changes in x are not related to changes in y D. changes in x are associated to changes in y
Q6). Suppose that you want to fit two separate regression lines on the same data set - For the first least square fit, Y is the response variable and X is the predictor variable For the second least square fit, X is the response variable and Y is the predictor variable. (a). Show that the product of the slope estimates from the two regression lines is Show that the above two regression lines will never be perpendicular to each other...
3. A response variable is related to a predictor variable through the quadratic regression model u yıx(x) = -8.5– 3.2x + 0.7x2 (a) Give the rate of change of the regression function at x = 0, 2, and 3. (b) Express the model in terms of the centered vari- ables as jyjx(x) = Bo + B1(x – ux) + B2(x - ux)2. If ux = 2, give the values of Bo, B1, and B2. (Hint. Match the coefficients of the...
Provide an example (not used in class or the textbook) where regression would be used as the analysis. Describe the predictor(s), the response variable, and explain whether
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