In a random sample of pediatric patients at a local hospital, the age of a patient and the patient's height have a correlation of 0.8. If we use the age of the patients to predict their height, which of the following is a correct statement? a Sixty-four percent of the time, the least squares regression line accurately predicts height. b About 80% of a person's height can be explained by age, according to the regression line relating height and age. c Sixty-four percent of the variation in height can be explained by the variation in the age of a patient. d The least squares regression line relating height to age will have a slope of approximately 0.8. e About 80% of the time, age will correctly predict the height.
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.
In a random sample of pediatric patients at a local hospital, the age of a patient and the patient's height have a
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a
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Sixty-four percent of the time, the least squares regression line accurately predicts height.
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b
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About 80% of a person's height can be explained by age, according to the regression line relating height and age.
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c
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Sixty-four percent of the variation in height can be explained by the variation in the age of a patient.
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d
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The least squares regression line relating height to age will have a slope of approximately 0.8.
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e
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About 80% of the time, age will correctly predict the height.
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