A 10 year study conducted by the American Heart Association provided data on how age, blood pressure and smoking relate to the risk of strokes. Assume that the following data are from a portion of this study. Risk is interpretted as the probability (times 100) that the patient will have a stroke over the next 10-year period. Risk Age Pressure Smoker 12 57 152 No 24 67 163 No 13 58 155 No 56 86 177 Yes 28 59 196 189 No 51 76 Yes 18 56 155 Yes 31 78 120 No 37 80 78 135 Yes 15 98 No 22 71 152 No 36 70 173 Yes 15 67 135 Yes 48 77 209 Yes 15 60 199 No 36 82 119 Yes 8 66 166 No A. Develop an estimated regression equation that relates risk of a stroke to the person's age, blood pressure, and whether the person is a smoker. B. What is the R* value for the regression equation that you developed? Is there a statistically significant relationship between these factors and the risk of stroke? What is the F statistic and p(F) ? C. Is smoking a significant factor in the risk of a stroke ? Using a = .05 justify your answer. D. Are age and blood pressure also significant facors in the risk of stroke? Using a - .05 justify your answer. E. What is the probability of a strike over the next 10 years for a person 68 years old with a blood pressure of 175 and who is a smoker? Plot Area
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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