Unit 1 geometry basics homework 2 segment addition postulate

Multiple logistic regression in action, statistics homework help

Assignment: Multiple Logistic Regression in ActionUse the Week 7 Dataset (SPSS document) from the Learning Resources area to complete this assignment. Variables and variable selection Use a table to list the variables, Sex, Age in Years, Serum Cholesterol, Obese, and Hypertension, and each of their levels of measurement. Create new variables Age_Cat and Chole_Cat: Age_Cat: Convert Age in Years into a categorical variable with 2 categories, Less than 40, 40 and greater Chole_Cat: Convert Serum Cholesterol into 3 categories, Under 200, 200-299, and 300 and greater Add the new variables to each record by coding the responses to the original variable using the assigned categories. Be sure that the variable view in SPSS has the correct information on the 2 new variables. Simple Binary Logistic Regression Use Hypertension as the dependent variable and Chole_Cat as the independent variable in the first model. Report the Odds Ratio and significance of the Odds Ratio for the relationship between the dependent and independent variables. Use Hypertension as the dependent variable and Serum Cholesterol (the original variable) as the independent variable in the second model. Report the Odds Ratio and significance of the Odds Ratio for the relationship between the dependent and independent variables. How does the level of measurement for the independent variable affect the outcome (include the OR and its significance in your response)? How does the level of measurement of the independent variable change your interpretation of the Odds Ratio? Multivariate Logistic Regression Run a multivariate binary logistic regression model using SPSS and Hypertension as the dependent variable, Chole_Cat, Age_Cat, Obese, and Sex as the Covariates. Include the output in your submission. Identify the Odds Ratio and the significance of the Odds Ratio for each of the covariates. How has the relationship between Chole_Cat and Hypertension changed with the addition of the other variables (compare to the output from # 2a)? Test the assumption that the model fits the data using the Hosmer-Lemeshow Goodness of Fit test. Interpret the Chi Square statistic given in the output of this test and state what it means in terms of the assumptions needed to use logistic regression with this data. Rerun the logistic regression model from #3a and use the save function to create the following new variables: Predicted Probabilities, Deviance Residuals, and Cook’s Distance. Evaluate the model using these saved variables and the following Scatter Plots. Create a Scatter Plot of the Deviance Residuals (DEV) and the variable ID: Are there any outliers? What does this mean when evaluating your model? Create a Scatter Plot of Cook’s Distance (COO) and the variable ID: Are there any influential cases? What does this mean when evaluating your model? Create a Scatter Plot of Deviance (DEV) and the Predicted Probabilities (PRE). Discuss whether anything in this scatterplot could cause you some concern in terms of your model. ResourcesDaniel, WW & Cross, CL. (2013). Biostatistics: A Foundation for Analysis in the Health Sciences. Hoboken, NJ: Wiley.Chapter 11, “ Regression Analysis: Some Additional Techniques” ( pp. 539 –599)

Video Transcript

in this problem, you are asked to use the segment addition postulate and the easiest way to remember the segment. Edition Edition postulate is little segment plus little segment equals big segment. So in part one, you were Given the information that L. M has a measure of 22. An MN. has a measure of 15. And you have to calculate the length of L. N. And if we were to draw a picture, M is in between L and N. So we said little segment L. M plus little segment M. N. Has equal big segment L. N. And we know that L. M. is 22 and M.A.N. 15. So therefore L. N will be 37 In # two. We've got the same scenario, We have the measure of Ln two. B 54. We have the measure of L. M. to be 31 and we have to determine the length of M. N. So we're gonna use same image. So we could say L M plus M N equals L. N. And we know Ln is 54 And we know LM is 31 and you need to calculate Mn. So using an algebraic procedure, if we were to subtract 31 from both sides, then we are going to get the value of M. N. To be a length of 23. And then in problem # four, you were given an image this time and the three points on that image were D. E and F. And you were told that E had a length of 47 and you were informed that E. F. Was a length of three X plus 10. And if I were to use the segment edition postulate, I could say that little segment E plus little segment E. F. Was equal to the larger segment or big segment of D. F. You were also informed that D. F. Was the expression nine x -39. We know that e. 47 and E. F. is the expression three x plus 10. So if I were to combine like terms on the left, I would have three X plus 57 Equals nine X -39. And using a little bit of our algebra, if I were to subtract three X. On both sides, I would have that 57 is equal to six X -39. And then if I added 39 to both sides I would get that 6x is equivalent to 96. And then if I were to divide both sides by six I will find the value of X to be 16. But I still didn't answer the question. The question asked, what's the value of E. F. And we know that E. F was expressed by the expression three X plus 10. We just calculated that the value of X was 16. So When we substitute 16 in we are going to find or calculate that the measure of E. F is 58