A statistics consulting center at a major university analyzed data on normal woodchucks for the university's veterinary school. The variables of interest were body weight in grams and heart weight in grams. It was desired to develop a linear regression equation in order to determine if there is a significant linear relationship between heart weight and total body weight. Use this information to answer the questions. Use heart weight as the independent variable and body weight as the dependent variable and fit a simple linear regression using the given data. Body Weight Heart Weight 4050 11.1 2435 10.1 3135 15.8 5740 10.9 2555 10.7 3665 11.4 2035 13.4 4260 13.9 2990 11.5 4935 15.8 3690 10.1 2880 12.8 2760 10.6 2160 15.4 2360 14.8 2040 13.6 2055 12.9 2650 15.6 2665 13.8
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 statistics consulting center at a major university analyzed data on normal woodchucks for the university's veterinary school. The variables of interest were body weight in grams and heart weight in grams. It was desired to develop a linear regression equation in order to determine if there is a significant linear relationship between heart weight and total body weight. Use this information to answer the questions.
4050 11.1
2435 10.1
3135 15.8
5740 10.9
2555 10.7
3665 11.4
2035 13.4
4260 13.9
2990 11.5
4935 15.8
3690 10.1
2880 12.8
2760 10.6
2160 15.4
2360 14.8
2040 13.6
2055 12.9
2650 15.6
2665 13.8
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