Which croc? The ranges inhabited by the Indian gharialcrocodile and the Australian saltwater crocodile overlapin Bangladesh. Suppose a very large crocodile skeleton isfound there, and we wish to determine the species of theanimal. Wildlife scientists have measured the lengths ofthe heads and the complete bodies of several crocs (incentimeters) of each species, creating the regressionanalyses below:Indian CrocodileDependent variable is: IBodyR-squared = 97.2,Variable CoefficientIntercept -69.3693IHead 7.40004 Australian CrocodileDependent variable is: ABodyR-squared = 98.0,Variable CoefficientIntercept -20.2245AHead 7.71726a) Do the associations between the sizes of the heads andbodies of the two species appear to be strong? Explain.b) In what ways are the two relationships similar? Explain.c) What is different about the two models? What doesthat mean?d) The crocodile skeleton found had a head length of62 cm and a body length of 380 cm. Which species doyou think it was? Explain why.
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.
crocodile and the Australian saltwater crocodile overlap
in Bangladesh. Suppose a very large crocodile skeleton is
found there, and we wish to determine the species of the
animal. Wildlife scientists have measured the lengths of
the heads and the complete bodies of several crocs (in
centimeters) of each species, creating the regression
analyses below:
Indian Crocodile
Dependent variable is: IBody
R-squared = 97.2,
Variable Coefficient
Intercept -69.3693
IHead 7.40004
Dependent variable is: ABody
R-squared = 98.0,
Variable Coefficient
Intercept -20.2245
AHead 7.71726
a) Do the associations between the sizes of the heads and
bodies of the two species appear to be strong? Explain.
b) In what ways are the two relationships similar? Explain.
c) What is different about the two models? What does
that mean?
d) The crocodile skeleton found had a head length of
62 cm and a body length of 380 cm. Which species do
you think it was? Explain why.
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