The table below lists pulse rates and systolic blood pressures (in mm Hg). Is there sufficient evidence to conclude that there is a linear correlation between pulse rates and systolic blood pressures? Use alpha = 0.05. (show the solution) Pulse Rates (x) Systolic Blood Pressure (y) 80 100 84 112 94 134 74 126 50 114 60 134 52 118 58 138 66 114 62 124 52 138
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.
PROBLEM 1
The table below lists pulse rates and systolic blood pressures (in mm Hg). Is there sufficient evidence to conclude that there is a
| Pulse Rates (x) | Systolic Blood Pressure (y) |
| 80 | 100 |
| 84 | 112 |
| 94 | 134 |
| 74 | 126 |
| 50 | 114 |
| 60 | 134 |
| 52 | 118 |
| 58 | 138 |
| 66 | 114 |
| 62 | 124 |
| 52 | 138 |
a. Based on the problem, what is the summation of x?
b. Based on the problem, what is the summation of y?
c. Based on the problem, what is the summation of x^2?
d. Based on the problem, what is the summation of y^2?
e. Based on the problem, what is the summation of xy?
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