A? __________ exists between two variables when the values of one variable are somehow associated with the values of the other variable.
correlation
When determining whether there is a correlation between two? variables, one should use a? ____________ to explore the data visually.
scatterplot
Which of the following statements about correlation is? true?
We say that there is a positive correlation between x and y if the? x-values increase as the corresponding? y-values increase.
The? ______________ measures the strength of the linear correlation between the paired quantitative? x- and? y-values in a sample.
linear correlation coefficient, r
Which of the following is NOT a requirement in determining whether there is a linear correlation between two? variables?
If r>?1, then there is a positive linear correlation.
Which of the following is NOT a property of the linear correlation coefficient? r?
The linear correlation coefficient r is robust. That? is, a single outlier will not affect the value of r.
Which of the following is NOT one of the three common errors involving? correlation?
Correlation does not imply causality
Which of the following is NOT true for a hypothesis test for? correlation?
If ?|r|>critical ?value, we should fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim of a linear correlation.
Which of the following is not a requirement for regression? analysis?
The method for regression analysis line is not robust. It is seriously affected by a small departure from a normal distribution.
Given a collection of paired sample? data, the? ____________________ y with caret=b0+b1x algebraically describes the relationship between the two? variables, x and y.
regression equation
Which of the following is not equivalent to the other? three?
Dependent variable
When making predictions based on regression? lines, which of the following is not listed as a? consideration?
Use the regression line for predictions only if the data go far beyond the scope of the available sample data.
In working with two variables related by a regression? equation, the? _________________ in a variable is the amount that it changes when the other variable changes by exactly one unit.
marginal change
In a? scatterplot, a(n)? ______________ is a point lying far away from the other data points.
outlier
Paired sample data may include one or more? ___________, which are points that strongly affect the graph of the regression line.
influential points
For a pair of sample? x- and? y-values, the? ______________ is the difference between the observed sample value of y and the? y-value that is predicted by using the regression equation.
residual
A straight line satisfies the? __________________ if the sum of the squares of the residuals is the smallest sum possible.
least-squares property
A? ______________ is a scatterplot of the? (x,y) values after each of the? y-coordinate values has been replaced by the residual value y?y with caret.
residual plot