The difference between observed responses and those predicted by the model
What is a Residual?
The model that allows you to see the relationship between two quantitative variables
What is a Scatterplot?
Describe form(linear/non-linear), direction(positive/negative), unusual features(outliers/clusters), and strength(weak/moderate/strong)
How to describe a Scatterplot?
The variable that is being manipulated/observed directly
What is an Explanatory variable?
The variable that might or might not be dependent of the explanatory variable
What is a response variable?
Calculator function to find the least-squares regression line
What is Stat --> Calc --> 4: LinReg(ax + b)?
Change in y over change in x
What is a slope?
Another name for the least-squares regression line
What is the best line of fit?
The assumption that tests whether there is an outlier
What is the outlier assumption?
an outlier that greatly affects the slope of the regression line (small residual)
What is an influential point?
The assumption that tests whether the scatterplots appear straight enough or have a pattern
What is the Linearity Assumption?
The assumption that tests whether the residual plot has a fan shape and roughly normal dots
What is the equal variance assumption?
a hidden factor besides explanatory and response variables that causes their high correlation
What is a lurking variable?
The number that summarizes the strength of the linear relationship between two quantitative variables
What is Correlation Coefficient?
A point which is far away from the other points horizontally
What is a point with High Leverage?
making predictions outside of data range
What is Extrapolation?
The range of correlation (r)
What is (-1, 1)?
A point that lies an abnormal distance from other values in a random sample from a population
what is an outlier?
The percentage of variation in the response variable that can be explained by the variation in the explanatory variable
What is r squared?
the formula for predicted value y
What is y=mx+b?
Slope in terms of r, σx, σy.
What is slope = r(σx/σy)?
A measure of how the points are spread around the line
What is the standard deviation of the residuals?
The predicted measure of the response variable if the explanatory variable is zero
What is the y-intercept?
The point that a least-squares regression line always passes through
What is (x̄, ȳ)?
something that correlation does not equal to
What is causation?