Listed below are the chest sizes (in inches) and weights (in pounds) of randomly selected bears that were anesthetized and measured (based on data from Gary Alt ena Minitab, Inc.). Since it is much more difficult to weigh a bear than to measure its chest size, the presence of a correlation could result in a method for estimating weight based on chest size. a) Calculate the correlation coefficient and test the significance at 5% probability; b) Determine the simple linear regression equation; c) Find the prediction for the weight (in pounds) of a bear with a chest size of 50 inches.
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.
Listed below are the chest sizes (in inches) and weights (in pounds) of randomly selected bears that were anesthetized and measured (based on data from Gary Alt ena Minitab, Inc.). Since it is much more difficult to weigh a bear than to measure its chest size, the presence of a
a) Calculate the
b) Determine the simple linear regression equation;
c) Find the prediction for the weight (in pounds) of a bear with a chest size of 50 inches.
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