1. The following are data for 12 individual’s daily sodium intake and their systolic blood pressure readings. Person Sodium BP 1 6.8 154 2 7.0 167 3 6.9 162 4 7.2 175 5 7.3 190 6 7.0 158 7 7.0 166 8 7.5 195 9 7.3 189 10 7.1 186 11 6.5 148 12 6.4 140 A researcher investigator is interested in learning how strong the association is between these variables and how well we can predict blood pressure from sodium intake. a. Calculate the value of r and the regression equation for the data. b. Test the hypothesis at 0.05 level of significance. c. What would be a likely blood pressure for a person with sodium of 6.3? How about sodium of 7.6?
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.
1. The following are data for 12 individual’s daily sodium intake and their systolic blood pressure readings.
Person Sodium BP
1 6.8 154
2 7.0 167
3 6.9 162
4 7.2 175
5 7.3 190
6 7.0 158
7 7.0 166
8 7.5 195
9 7.3 189
10 7.1 186
11 6.5 148
12 6.4 140
A researcher investigator is interested in learning how strong the association is between these variables and how well we can predict blood pressure from sodium intake.
a. Calculate the value of r and the regression equation for the data.
b. Test the hypothesis at 0.05 level of significance.
c. What would be a likely blood pressure for a person with sodium of 6.3? How about sodium of 7.6?
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