A recent study showed that the hours a person exercised in a week affected the individual's resting heart rate. It was computed that r = -.68 and the least squares regression line was ?̂ = 83-1.4x, where x is the hours exercised and y is the resting heart rate. b. What does the value 83 tell you about the relationship between hours exercised resting heart rate?
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.
A recent study showed that the hours a person exercised in a week affected the individual's
resting heart rate. It was computed that r = -.68 and the least squares regression line was
?̂ = 83-1.4x, where x is the hours exercised and y is the resting heart rate.
b. What does the value 83 tell you about the relationship between hours exercised
resting heart rate?
Given Information:
A recent study showed that the hours a person exercised in a week affected the individual's resting heart rate.
Correlation coefficient
Regression equation
X : Hours exercised
Y : Resting hear rate.
From the above equation: value of intercept is 83. Intercept is the point where the line crosses the y-axis. It is the predicted value for y, when x is 0.
Value of slope is -1.4. Slope indicates the steepness of a line.
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