An observational study is conducted to investigate the association between age and total serum cholesterol. The correlation is estimated at r = 0.35. The study involves n = 125 participants. The mean (std dev) age is 44.3 (10.0) years with an age range of 35 to 55 years, and mean (std dev) total cholesterol is 202.8 (38.4). a) Estimate the equation of the line that best describes the association between age (as the independent variable) and total serum cholesterol. b) Estimate the total serum cholesterol for a 50-year old person. c) Estimate the total serum cholesterol for a 70-year old person.
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.
An observational study is conducted to investigate the association between age and total serum cholesterol. The
a) Estimate the equation of the line that best describes the association between age (as the independent variable) and total serum cholesterol.
b) Estimate the total serum cholesterol for a 50-year old person.
c) Estimate the total serum cholesterol for a 70-year old person.
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