Question

Part 3: Part 4 Explain how you arrived at your answer to question 10 above. Clearly identify which test and what sig was used to arrive at your conclusion. At a different clinic, patients were recruited to analyze the effects of various variables in explaining Total Cholesterol (mg/dL). Some of the variables included in this study are Age in years at screening, Weight (kg), Gender, Triglyceride (mg/dL), Direct HDL-Cholesterol (mg/dL), Fasting Glucose (mg/dL), and Systolic Blood Pressure (1st reading). A multiple regression was conducted to determine the extent to which Total Cholesterol (mg/dL) can be explained by these variables. Here is the output obtained when a multiple regression analysis was performed, with all of the variables entered simultaneously Accepted characters: Only numbers, decimal point markers (ie.. periods), or sign indicators preceding a number (e.g.-5) are allowed, except where scientific notation is needed. Values in scientific notation format should use "e" to represent "times 10 to the power of" (e.g., 3e-3 means 3 x 10-3). How many patients were in this study? Model Summary Adjusted Sid. Error of Model R R Square Square the Estimate 083 a. Predictors: Constant, Syste se pres cistig mm Ho Age in years at screening, Triglyceride mg/dl, Direct HDL-Cholesterol mg/d). Gender Fasting Glucose mg/du, Weight kg 346 120 Accepted characters: Only numbers, decimal point markers (i.e., periods), or sign indicators preceding a number (e.g.,-5) are allowed, except where scientific notation is needed. Values in scientific notation format should use "e" to represent "times 10 to the power of" (e.g. 3e-3 means 3 x 10-3). How many independent variables were included in the model? ANOVA Sum of Model Squares di Mean Square F 1 Regression 30907.959 7 4415.423 3288 003 Residual 226923.679 169 1342.744 Total 257831.638 176 a. Dependent Variable: Total Cholesterol modu b. Predictors: (Constant), Systolic: Blood pres (1 strdi mm Hg. Age in years at screening, Triglyceride (mg/dL. Direct HDL-Cholesterol (mg/dL. Gender, Fasting Glucose (mg/dL, Weight kg Accepted characters: Only numbers, decimal point markers (i.e., periods), or sign indicators preceding a number (e.g.-5) are allowed, except where scientific notation is needed. Values in scientific notation format should use "e" to represent "times 10 to the power of" (e.g., 3e-3 means 3 x 10-3). What is the proportion of variance (in percent) explained in Total Cholesterol (mg/dL) by the independent variables? __% Coefficients Model Unstandardized Coeficients Sid. Error 189.498 30.740 Constant Age in years at screening Weight kg Beta 6.165 245 3.355 0911.180 .000 .001 240 117 5.560 Gender 879 381 4.973 -010 RO 021 035 -458 211 132 1.796 074 Triglyceride imdb Direct HDL-cholesterolimg/du Fasting Glucose madu Systolic blood pres (1st damm Hg a. Dependent Variable: Total Cholesterol modu 119 148 -1.575 1.898 059 Which independent variable explains the least amount of variance in Total Cholesterol (mg/dL)? CA. Age in years at screening B. Weight (kg) OC. Gender CD. Triglyceride (mg/dL) CE. Direct HDL-Cholesterol (mg/dL) OF. Fasting Glucose (mg/dL) OG. Systolic Blood Pressure (1st reading) 10 Is the overall model statistically significant? CA No OB. Yes How did you determine the answer to question 15 above? Please specify what value you used and what it was compared to for you to arrive at your conclusion.

Answer 1

Solution:

Part 3: Part 4 Explain how you arrived at your answer to question 10 above. Clearly identify which test and what sig was used to arrive at your conclusion At a different clinic, patients were recruited to analyze the effects of various variables in explaining Total Cholesterol (mg/dL). Some of the variables included in this study are Age F statistic is used to answer 10 and the p-value (Sig)-0.003 is used to decide if the overall model is statistically significant. Since it is less than significance level, therefore, the model is significant Accepted characters: Only numbers, decimal point markers (i.e., periods), or sign indicators preceding a number (e.g. -5) are allowed, except where scientific in years at screening, Weight (kg), Gender, Triglyceride (mg/dL), Direct HDL-Cholesterol (mg/dL), Fasting Glucose (mg/dL), and Systolic Blood Pressure (1st reading). A multiple regression was conducted to determine the extent to which Total Cholesterol (mg/dL) can notation is needed. Values in scientific notation format should use "e" to be explained by these variables. Here is the output obtained when a multiple regression represent "times 10 to the power of (e.g., 3e-3 means 3 x 10-3) analysis was performed, with all of the variables entered simultaneously: How many patients were in this study? 177 Model Summary Adjusted R Square Std. Error of the Estimate 13 Model R R Square Accepted characters: Only numbers, decimal point markers (i.e., periods), or sign indicators preceding a number (e.g., -5) are allowed, except where scientific 36.643 346 1 120 083 a. Predictors: (Constant, Systolic Blood pres (1st rdge mm Hg. Age in years at screening, Triglyceride (mg/d, Direct HDL-Cholesteral (mg/du, Gender Fasting Glucose (mg/du, Weight (kgi notation is needed. Values in scientific notation format should use "e" to represent "times 10 to the power of (e.g., 3e-3 means 3 x 10-3) 7 How many independent variables were included in the model? ANOVA Sum of Squares F Sig Model 1 df Mean Square 14 003 7 3.288 Regression 30907.959 4415.423 Accepted characters: Only numbers, decimal point markers (i.e., periods), or sign indicators preceding a number (e.g., -5) are allowed, except where scientific notation is needed. Values in scientific notation format should use "e" to 226923.679 Residual 169 1342.744 Total 257831.638 176 a. Dependent Variable: Total Cholesterok mg/d) b. Predictors: (Constant), Systolic: Blood pres (1st rdg) mm Hg, Age in years at screening. Triglyceride (mg/dL, Direct HDL-Cholesterol (mg/dL, Gender, Fasting Clucose (mg/dL), Weight (kg) represent "times 10 to the power of" (e.g., 3e-3 means 3 x 10-3). What is the proportion of variance (in percent) explained in Total Cholesterol (mg/dL) by the independent variables? 12.0% Coefficients Standardizedi Coefficients Unstandardized Coefficients Std. Error Beta Sig t Model 1 15 (Constant 189.498 30.740 6.165 .000 Which independent variable explains the least amount of variance in Total Age in years at Screening 509 152 245 3.355 001 Cholesterol (mg/dL)? Weight (kg) 138 117 091 1.180 240 Gender 4.973 5.660 065 879 381 A. Age in years at screening Triglyceride (mg/d 010 021 035 -458 647 Direct HDL-Cholesteral (mg/dL) 380 211 132 1.796 .074 B. Weight (kg) 229 119 Fasting Glucose (mg/dL) 145 1.575 117 180 Systolic: Blood pres (1st rdg) mm Hg 342 148 -1.898 .059 C c. Gender a. Dependent Variable: Total Cholesterok mg/dL) D. Triglyceride (mg/dL) E. Direct HDL-Cholesterol (mg/dL) 10 F. Fasting Glucose (mg/dL) Is the overall model statistically significant? CA. No G. Systolic Blood Pressure (1st reading) B. Yes How did you determine the answer to question 15 above? Please specify what value you used and what it was compared to for you to arrive at your conclusion We used the value of standardized coefficients Beta. We looked for the largest absolute value among the standardized coefficients beta