The table gives the age and systolic blood pressure for a sample of 12 randomly selected healthy adults. Age Systolic Blood pressure (mmHg)
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.
College Algebra
Linear
Complete parts a, b, c, d and e. Use your graphing calculator to complete all parts.
You may record your answers on a word document.
1. The table gives the age and systolic blood pressure for a sample of 12 randomly
selected healthy adults.
Age Systolic Blood pressure (mmHg)
17 110
21 118
27 121
33 122
35 118
38 124
43 125
51 130
58 132
60 138
64 134
70 142
a) Use a graphing utility to create a
independent variable x and the Systolic Blood pressure as the dependent variable
y.
Do the data appear to be linear?
**If when you hit GRAPH and you do not see anything change the window. Hit the window
button and choose option 9. Now do you see the graph?
b) Use the regression feature of a graphing utility to find a linear model for predicting
Systolic Blood pressure given age. Write below the linear equation you found using
your calculator. Include the
c) What does the correlation coefficient tell us about the data and the linear equation?
d) Use the linear model from part (b) to approximate Systolic Blood pressure for a
healthy 55 year old and healthy 30 year old.
Systolic Blood pressure for a 55 year old:
Systolic Blood pressure for a 30 year old:
e) Describe the trend you see in the data. How well does the
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