Body fat Do the data shown in the table below indicatean association between Waist size and %Body Fat?a) Test an appropriate hypothesis and state your conclusion. *b) Give a 95% confidence interval for the mean %BodyFat found in people with 40-inch Waists. Waist(in.)Weight(lb)Body Fat(%)Waist(in.)Weight(lb)Body Fat(%)32 175 6 33 188 1036 181 21 40 240 2038 200 15 36 175 2233 159 6 32 168 939 196 22 44 246 3840 192 31 33 160 1041 205 32 41 215 2735 173 21 34 159 1238 187 25 34 146 1038 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 Do the data shown in the table below indicate
an association between Waist size and %Body Fat?
a) Test an appropriate hypothesis and state your conclusion. *
b) Give a 95% confidence interval for the mean %Body
Fat found in people with 40-inch Waists.
Waist
(in.)
Weight
(lb)
Body Fat
(%)
Waist
(in.)
Weight
(lb)
Body Fat
(%)
32 175 6 33 188 10
36 181 21 40 240 20
38 200 15 36 175 22
33 159 6 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
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