The following table gives the ages of female students in school and the corresponding Body Mass index (BMI) of 8 randomly selected students.(α=0.05) Age 24 22 30 32 21 19 25 BMI 27 28 30 29 28 27 26 Determine whether ages and BMI are significantly related. Determine the coefficient of linear determination and Intepret. Set up a linear regression equation to predict body mass index from age of students. Predict the body mass index of student who has the age of 26 years.
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 following table gives the ages of female students in school and the corresponding Body Mass index (BMI) of 8 randomly selected students.(α=0.05)
Age
24
22
30
32
21
19
25
BMI
27
28
30
29
28
27
26
Determine whether ages and BMI are significantly related.
Determine the coefficient of linear determination and Intepret.
Set up a linear regression equation to predict body mass index from age of students.
Predict the body mass index of student who has the age of 26 years.
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