In "Effects of Temperature on Marathon Runner's Performance" by David Martin and John Buoncristiani, high temperature and times (in minutes) were given for women who won the New York City marathon in recent years. Results are listed below. Temperature Time 55 61 49 62 145.283 148.717 148.300 148.100 Temperature 70 73 51 57 Time 147.617 146.400 144.667 147.533 Compute the sample coefficient of determination r². (Approximate your answer in three decimal places)
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.
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