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D Question 3 1 pts Consider a logistic regression model where p represents the probability of...
Decide (with short explanations) whether the following statements are true or false. r) The error term in logistic regression has a binomial distribution s) The standard linear regression model (under the assumption of normality) is not appropriate for modeling binomial response data t Backward and forward stepwise regression will generally provide different sets of selected variables when p, the number of predicting variables, is large. u) BIC penalizes for complexity of the model more than AIC r) The error term...
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...
7) Consider the intercept-only logistic regression model iBinomial (ni, p) i= 1,...,n yi independent log 1-p -- ()M a) Find the MLE for o b) Find the Fisher Information I(a)E How would you estimate Var(a)? 7) Consider the intercept-only logistic regression model iBinomial (ni, p) i= 1,...,n yi independent log 1-p -- ()M a) Find the MLE for o b) Find the Fisher Information I(a)E How would you estimate Var(a)?
Need help with stats true or false questions Decide (with short explanations) whether the following statements are true or false a) We consider the model y-Ao +A(z) +E. Let (-0.01, 1.5) be a 95% confidence interval for A In this case, a t-test with significance level 1% rejects the null hypothesis Ho : A-0 against a two sided alternative. b) Complicated models with a lot of parameters are better for prediction then simple models with just a few parameters c)...
3. 125 ptj In a multiple logistic regression model, the outcome of interest is the presence of liver cirrhosis (Y/N). Covariates include liver albumin (g/dL) and genotype (A, B and C set A as the reference level). The following results were obtained: SE 0.20 0.11 Coefficient (B) Intercept Albumin Genotype B Genotype C -0.25 0.53 0.23 0.25 0.07 (a) Write down the math form of the model. Define all elements. (b) Conduct a hypothesis test for the effect of albumin....
A logistic regression model was estimated in order to predict the probability that a randomly chosen university or college would be a private university using information on mean total Scholastic Aptitude Test score (SAT) at the university or college and whether the TOEFL criterion is at least 90 (Toefl90 = 1 if yes, 0 otherwise.) The dependent variable, Y, is school type (Type = 1 if private and 0 otherwise). 37) Referring to Scenario 14-18, which of the following is...
Consider a linear regression model where y represents the response variable, x is a quantitative explanatory variable, and d is a dummy variable. The model is estimated as yˆy^ = 14.6 + 4.5x − 3.4d. a. Interpret the dummy variable coefficient. Intercept shifts down by 3.4 units as d changes from 0 to 1. Slope shifts down by 3.4 units as d changes from 0 to 1. Intercept shifts up by 3.4 units as d changes from 0 to 1. Slope shifts...
Consider a linear regression model where y represents the response variable, x is a quantitative explanatory variable, and d is a dummy variable. The model is estimated as yˆy^ = 14.4 + 4.6x − 3.1d. a. Interpret the dummy variable coefficient. Intercept shifts down by 3.1 units as d changes from 0 to 1. Slope shifts down by 3.1 units as d changes from 0 to 1. Intercept shifts up by 3.1 units as d changes from 0 to 1. Slope shifts...
Fit a logistic regression model with perio as the outcome and exposures sep0, sep1, smoke and oralhyg. The result is following: Provide an interpretation of the estimated parameters smoke and oralhyg - what are the implications for someone who smokes but who also has good oral hygiene habits? I know this question is a bit tricky, so if you get some idea, I will regard it as helpful! Variable Description id unique identifier perio 1 = periodontitis, 0 = no...
3. In the multiple regression model shown in the previous question, which one of the following statements is incorrect: (b) The sum of squared residuals is the square of the length of the vector ü (c) The residual vector is orthogonal to each of the columns of X (d) The square of the length of y is equal to the square of the length of y plus the square of the length of û by the Pythagoras theorem In all...