Average hours of sleep 5.2 3.4 8 10 1.5 needed/night Hours of exercise/week 8.6 8.1 9. 8.5 7.4 6.8 9.4 7.7 Sketch a scatter plot for the data, is the relationship linear? Vhat is the correlation between the two variables? Calculate the coefficient of determination and explain. 6
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 researcher is proposing that exercise makes a person more energized as a result they require less sleep. He carries out a survey on the number of hours of exercise per week and the average hours of sleep needed per night in order to feel well rested. The results are shown in the table (picture) for the 8 participants.
a. Using the data (picture), calculate and interpret the regression line for the data.
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