Risk Age Systolic Blood Pressure Smoker 12 57 152 No 24 67 163 No 13 58 155 No 56 86 177 Yes 28 59 196 No 51 76 189 Yes 18 56 155 Yes 31 78 120 No 37 80 135 Yes 15 78 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 34 80 125 Yes 3 62 117 No 37 59 207 Yes
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.
A recent ten-year study conducted by a research team at the Great Falls Medical School
was conducted to assess how age, systolic blood pressure, and smoking relate to the risk of
strokes. Assume that the following data are from a portion of this study. Risk is interpreted
as the
period. For the smoking variable, define a dummy variable with 1 indicating a smoker and
0 indicating a nonsmoker
a. Develop an estimated multiple regression equation that relates risk of a stroke to the
person’s age, systolic blood pressure, and whether the person is a smoker.
b. Is smoking a significant factor in the risk of a stroke? Explain. Use a 0.05 level of
significance.
c. What is the probability of a stroke over the next ten years for Art Speen, a 68-yearold
smoker who has systolic blood pressure of 175? What action might the physician
recommend for this patient?
d. Can you think of any other factors that could be included in the model as independent
variables?
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