بسم الله الرحمن الرحيم. Correlation & Regression. Dr. Moataza Mahmoud Abdel Wahab Lecturer of Biostatistics High Institute of Public Health University of Alexandria. Correlation. Finding the relationship between two quantitative variables without being able to infer causal relationships
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Dr. Moataza Mahmoud Abdel Wahab
Lecturer of Biostatistics
High Institute of Public Health
University of Alexandria
Finding the relationship between two quantitative variables without being able to infer causal relationships
Correlation is a statistical technique used to determine the degree to which two variables are related
The pattern of data is indicative of the type of relationship between your two variables:
Age of Car
Statistic showing the degree of relation between two variables
strong direct correlation
r = - 0.94
Indirect strong correlation
There is an indirect weak correlation between level of education and income.
The regression line makes the sum of the squares of the residuals smaller than for any other line
Regression minimizes residuals
Predicted final grade in class =
59.95 + 3.17*(number of hours you study per week)
we create a regression line by plotting two estimated values for y against their X component, then extending the line right and left.
The following are the age (in years) and systolic blood pressure of 20 apparently healthy adults.
=112.13 + 0.4547 x
for age 25
B.P = 112.13 + 0.4547 * 25=123.49 = 123.5 mm hg
Multiple regression analysis is a straightforward extension of simple regression analysis which allows more than one independent variable.