A zoologist studying a certain species of rats investigatedthe relationship between the weights of adult rats (ingrams) and the lengths of their tails (in centimeters). Theregression analysis for his data is shown below.Response variable: weightVariable Coef Std Error t-ratio p-valueConstant -323.5 3.89 6.04 0.0001Length 72.1 0.24 8.79 0.0001s = 14.31 R@Sq = 75.4%By how much do weight estimates produced by thismodel typically differ from the actual weights of the rats?A) 0.24 g B) 3.89 g C) 14.31 gD) 323.5 g E) 24.6%
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 zoologist studying a certain species of rats investigated
the relationship between the weights of adult rats (in
grams) and the lengths of their tails (in centimeters). The
regression analysis for his data is shown below.Response variable: weight
Variable Coef Std Error t-ratio p-value
Constant -323.5 3.89 6.04 0.0001
Length 72.1 0.24 8.79 0.0001
s = 14.31 R@Sq = 75.4%
By how much do weight estimates produced by this
model typically differ from the actual weights of the rats?
A) 0.24 g B) 3.89 g C) 14.31 g
D) 323.5 g E) 24.6%
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