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This set of flashcards covers key concepts from Lecture 15 of the BIOL 3327 Experimental Methods course, focusing on correlation and regression analyses.
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What is the primary focus of correlation analysis?
To determine how two variables change in relation to one another.
What does regression analysis investigate?
It investigates how changing one variable affects another variable.
Can correlation imply causation?
No, correlation does not determine cause and effect.
In regression, what does the slope 'b' represent?
The slope 'b' represents the relationship between the dependent and independent variable.
What does the correlation coefficient measure?
It measures the fit of the data in both correlation and regression analyses.
Who coined the term 'regression'?
Sir Francis Galton.
What is the significance of the intercept 'a' in regression?
The intercept 'a' is where the regression line intersects the y-axis.
What does 'y = a + bx' signify in regression analysis?
It is the equation of the regression line where 'y' is the dependent variable, 'a' is the intercept, 'b' is the slope, and 'x' is the independent variable.
What does ANOVA test in the context of regression?
It tests whether the slope of the regression is significant.
What is the correlation coefficient 'r' range?
It ranges from -1 to 1.
What is the interpretation of an r value of 0.5?
It indicates a moderate positive correlation between variables.
What is the key difference between correlation and regression?
Correlation assesses how well x and y are related, while regression assesses how x and y are related.
What is the concept of residual variation in regression?
It is the difference between actual and predicted values on the regression line.
How can you calculate the slope 'b' using covariance?
Slope b = Sum of cross products / Sum of squares of x.
What is the coefficient of determination?
It represents the proportion of variation accounted for by a regression line, denoted as r².