Can you tell how old a lion is by looking at its nose? A professor at the University of Wisconsin-Madison con-ducted a study of data taken from 32 lions and observed the relationship between age (in years) and proportionof blackness in the lion’s nose. The equation of the leastsquares regression line was yn = 0.8790 + 10.6471x where yn is the predicted age of the lion, measured inyears, and x is the proportion of the lion’s nose that isblack. A lion whose nose was 11% black was known to be1.9 years old. What is the residual for the age of this lion?a) -0.15 years b) 0.15 yearsc) 0.88 years d) 2.05 yearse) 10.65 years(Source: http://www.stat.wisc.edu/~st571-1/15-regression-4.pdf)
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.
ducted a study of data taken from 32 lions and observed
of blackness in the lion’s nose. The equation of the least
squares regression line was
years, and x is the proportion of the lion’s nose that is
black. A lion whose nose was 11% black was known to be
1.9 years old. What is the residual for the age of this lion?
a) -0.15 years b) 0.15 years
c) 0.88 years d) 2.05 years
e) 10.65 years
(Source: http://www.stat.wisc.edu/~st571-1/15-
regression-4.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
