The datasetBody.xlsgives the percent of weight made up of body fat for 100 men as well as other variables such as Age, Weight (lb), Height (in), and circumference (cm) measurements for the Neck, Chest, Abdomen, Ankle, Biceps, and Wrist. We are interested in predicting body fat based on abdomen circumference. Find the equation of the regression line relating to body fat and abdomen circumference. Make a scatter-plot with a regression line. What body fat percent does the line predict for a person with an abdomen circumference of 110 cm? One of the men in the study had an abdomen circumference of 92.4 cm and a body fat of 22.5 percent. Find the residual that corresponds to this observation.
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.
The datasetBody.xlsgives the percent of weight made up of body fat for 100 men as well as other variables such as Age, Weight (lb), Height (in), and circumference (cm) measurements for the Neck, Chest, Abdomen, Ankle, Biceps, and Wrist. We are interested in predicting body fat based on abdomen circumference.
- Find the equation of the regression line relating to body fat and abdomen circumference.
- Make a scatter-plot with a regression line. What body fat percent does the line predict for a person with an abdomen circumference of 110 cm?
- One of the men in the study had an abdomen circumference of 92.4 cm and a body fat of 22.5 percent. Find the residual that corresponds to this observation.
| Bodyfat | Abdomen |
| 32.3 | 115.6 |
| 22.5 | 92.4 |
| 22 | 86 |
| 12.3 | 85.2 |
| 20.5 | 95.6 |
| 22.6 | 100 |
| 28.7 | 103.1 |
| 21.3 | 89.6 |
| 29.9 | 110.3 |
| 21.3 | 100.5 |
| 29.9 | 100.5 |
| 20.4 | 98.9 |
| 16.9 | 90.3 |
| 14.7 | 83.3 |
| 10.8 | 73.7 |
| 26.7 | 94.9 |
| 11.3 | 86.7 |
| 18.1 | 87.5 |
| 8.8 | 82.8 |
| 11.8 | 83.3 |
| 11 | 83.6 |
| 14.9 | 87 |
| 31.9 | 108.5 |
| 17.3 | 88.7 |
| 30.7 | 102.4 |
| 40.1 | 113.1 |
| 34.5 | 126.2 |
| 23.3 | 91 |
| 6 | 89.1 |
| 24.5 | 100 |
| 19.3 | 102.8 |
| 18.3 | 93 |
| 24.2 | 100.9 |
| 25.3 | 98.1 |
| 8.5 | 83.1 |
| 16.5 | 100.5 |
| 11.4 | 80.6 |
| 11.5 | 83.6 |
| 22.4 | 88.5 |
| 27 | 94.9 |
| 20.8 | 93.5 |
| 16.7 | 86.6 |
| 19.6 | 102.9 |
| 32.8 | 101.3 |
| 13.9 | 90 |
| 27.2 | 92.1 |
| 19.1 | 95.9 |
| 31.6 | 111.2 |
| 13.6 | 81.1 |
| 20.5 | 90.3 |
| 9.9 | 79.4 |
| 25.2 | 96.7 |
| 3.9 | 77.6 |
| 9.4 | 81.2 |
| 12.4 | 82.8 |
| 21.8 | 86.1 |
| 26.1 | 104.8 |
| 25.8 | 99.7 |
| 14.8 | 91.1 |
| 13.8 | 84.1 |
| 22.9 | 88.7 |
| 13.6 | 83.4 |
| 4.1 | 82.5 |
| 24.4 | 87.2 |
| 5.3 | 76.5 |
| 23.6 | 109.3 |
| 21.5 | 83.9 |
| 5.6 | 79.5 |
| 15.6 | 76.4 |
| 8 | 82 |
| 10.6 | 86.4 |
| 6.3 | 79.6 |
| 5.2 | 82.8 |
| 20.4 | 92 |
| 24.8 | 98.2 |
| 25.3 | 108.8 |
| 18.2 | 93.2 |
| 26.8 | 89 |
| 26 | 110.4 |
| 9.4 | 77.6 |
| 17 | 79.7 |
| 14.1 | 86.5 |
| 16.6 | 96.3 |
| 18.8 | 98.6 |
| 16 | 86.1 |
| 16.5 | 88.2 |
| 20.8 | 91.6 |
| 7.8 | 90.9 |
| 13.8 | 86.6 |
| 17.4 | 99.2 |
| 22.1 | 85.7 |
| 27.2 | 104 |
| 28.4 | 98.8 |
| 3.7 | 79.7 |
| 10.3 | 85.3 |
| 20.1 | 90 |
| 29.4 | 98.6 |
| 13 | 92.1 |
| 25.2 | 106.8 |
| 4 | 70.4 |
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 6 images
