4. A Zumba instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for individuals of the given ages. Age (x years) 20 40 60 Maximum heart rate 170 153 136 (y beats per minute) a. Find the linear correlation coefficient for the data. b. What is the significance of the value found in part a? c. Find the equation of the least-squares line.
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.
4. A Zumba instructor remembers the data given in the following table, which shows the recommended
maximum exercise heart rates for individuals of the given ages.
Age (x years) 20 40 60
Maximum heart rate 170 153 136
(y beats per minute)
a. Find the linear
b. What is the significance of the value found in part a?
c. Find the equation of the least-squares line.
d. Use the equation from part c to predict the maximum exercise heart rate for a person who is 72.
e. Is the procedure in part d an example of interpolation or extrapolation?
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