STA 106: Correlation and Linear Regression . Lecturer: Dr. Daisy Dai Department of Medical Research. Contents. Correlation Regression Simple Regression Multiple Regression. What is correlation?.
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STA 106: Correlation and Linear Regression
Lecturer: Dr. Daisy Dai
Department of Medical Research
Karl Pearson (1857 – 1936)
Coefficient of Determination (r2)=square of Correlation Coefficient (r)
Outcome variable explanatory variable(s)
The birth weight = 0.2 +0.4 * Gestational age
Note: These are the phenomena we want to interpret the variation and predict.
For instance, response to treatment etc.
Note: These are the variables that can be used to explain the variation in the outcome variables.
For instance, demographics, environmental factors, genetic factors, medical educational intervention.
Because the slope of the regression line is negative, price tends to decrease as age increases
Orions depreciate an estimated $2026 per year, at least in the 2- to 7- year-old range.
The three sums of squares, SST, SSR, and SSE, can be obtained by using the following computing formulas:
Total sum of squares; SST=
Regression sum of squares: SSR=
Error sum of square: SSE=
Regression identity: SST=SSR+SSE