Waist Weight Body Fat (%) Weight (Ib) Body Fat (%) Waist (in.) (Ib) (in.) 32 175 6 33 188 10 36 181 21 40 240 20 38 200 15 36 175 22 33 159 32 168 9 39 196 22 44 246 38 40 192 31 33 160 10 41 205 32 41 215 27 35 173 21 34 159 12 38 187 25 34 146 10 38 188 30 44 219 28
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.
Body fat It is difficult to determine a person’s body
fat percentage accurately without immersing him or
her in water. Researchers hoping to find ways to make
a good estimate immersed 20 male subjects, then
measured their waists and recorded their weights.a) Create a model to predict %Body Fat from
Weight.
b) Do you think a linear model is appropriate?
Explain.
c) Interpret the slope of your model.
d) Is your model likely to make reliable estimates?
Explain.
e) What is the residual for a person who weighs 190
pounds and has 21% body fat?
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