Age and Blood Pressure The ages (in years) of 10 men and their systolic blood pressures (in millimeters of mercury) is given below. Age, x 16 25 39 45 49 64 70 29 57 22 Systolic blood pressure 109 122 143 132 199 185 199 130 175 118 Find the sample linear correlation coefficient and interpret it in the context of the problem. Is the population correlation coefficient significant? Why? Use α = 0.05. Find the equation of the regression. What is the slope of the line? Interpret this value in the context of the problem? What is the coefficient of determination? Interpret this result in the context of the problem? If x is 30, what would you expect y (in mm ??) to be? If x is 60 years, what would you expect y( in mm??) to be?
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.
Age and Blood Pressure The ages (in years) of 10 men and their systolic blood pressures (in millimeters of mercury) is given below.
|
Age, x |
16 |
25 |
39 |
45 |
49 |
64 |
70 |
29 |
57 |
22 |
|
Systolic blood pressure |
109 |
122 |
143 |
132 |
199 |
185 |
199 |
130 |
175 |
118 |
- Find the sample linear
correlation coefficient and interpret it in the context of the problem. - Is the population correlation coefficient significant? Why? Use α = 0.05. Find the equation of the regression. What is the slope of the line? Interpret this value in the context of the problem?
- What is the coefficient of determination? Interpret this result in the context of the problem?
- If x is 30, what would you expect y (in mm ??) to be? If x is 60 years, what would you expect y( in mm??) to be?
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