Statistics- Correlation (4) Flashcards
Bivariate data
Has pairs of values for two variables
Correleation
Describes the nature of the linear relationship between two variables
Causal relationship
If a change in one variable causes a change in the other they have a causal relationship. Context should be considered, two correlating variables aren’t always causal.
Least squares regression line
Straight line of best fit which minimizes the sum of the squares of the distance of each data point from the line.
Regression line y on x
y=a+bx
- can’t be used for x on y
What does the coefficient b represent on the regression line?
Change in y for each unit change in x.
- if positively correlated b is positive
- if negatively correlated b is negative
What is an independent variable?
A controlled variable found on the x axis
What is a dependent variable?
A measured variable found on the y axis
Interpolation
Making predictions for values within the range of x values
Extrapolation
Making predictions for values outside the range of x values, it is less accurate.