This problem uses the dataset BodyFat, which gives the percent of weight made up of body fat for 100 men as well as other variables such as Age, Weight (in pounds), Height (in inches), and circumference (in cm) measurements for the Neck, Chest, Abdomen, Ankle, Biceps, and Wrist.1 Using Neck Circumference to Predict Body Fat The regression line for predicting body fat percent using neck circumference is BodyFat^=-47.9+1.75(Neck). Click here for the dataset associated with this question.
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.
Predicting Percent Body Fat
This problem uses the dataset BodyFat, which gives the percent of weight made up of body fat for 100 men as well as other variables such as Age, Weight (in pounds), Height (in inches), and circumference (in cm) measurements for the Neck, Chest, Abdomen, Ankle, Biceps, and Wrist.1
Using Neck Circumference to Predict Body Fat
The regression line for predicting body fat percent using neck circumference is
Click here for the dataset associated with this question.
(a) What body fat percent does the line predict for a person with a neck circumference of 35 cm?
Round your answer to two decimal places.
BodyFat^= %
What body fat percent does the line predict for a person with a neck circumference of 40 cm?
Round your answer to one decimal place.
BodyFat^= %
(b) One of the men in the study had a neck circumference of 38.7 cm and a body fat percent of 11.3. Find the residual for this man.
Round your answer to three decimal places.
residual= %
the absolute tolerance is +/-0.001
a.
Given regression equation is,
BodyFat^=-47.9+1.75(Neck).
The body fat percent does the line predict for a person with a neck circumference of 35 cm is,
The body fat percent does the line predict for a person with a neck circumference of 40 cm is,
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
