Match the variables to their description. The formula for the test of significance of the sample correlation is: The line passes through the largest and smallest data points.Īll of the data points are above the line. Which three of the following are not likely to be a least-squares fit? Nearly all of the data points are below the line. What question are we trying to answer with the test? Could the sample correlation be r even though the population correlation is actually zero? A line is drawn through the points on a scatter diagram. When testing a correlation, we use a null hypothesis about the population correlation. What can you reasonably conclude? Something else is related to both vocabulary and income. Which of the following is the formula for the correlation coefficient, r? Σ(X−X)(Y−Y)(n−1)sxsy A study found a correlation of r = 0.68 between the size of someone's vocabulary and their income. What is the best definition of a regression equation? An equation that expresses the linear relation between two variables. It can be any number from -1 to +1, inclusive. It can be any number between 0 and 1, inclusive. With n - 2 degrees of freedom Which of these statements correctly describes the values that can be assumed by the correlation coefficient, r? Which of the following is the test statistic for the correlation coefficient? t = rn−2√1−r2√rn-21-r2 How would you describe this relationship A weak positive correlation. Which of the following is a valid null hypothesis for the test of significance of the correlation coefficient? H0: ρ = 0 A study of finishing time versus standardized test scores found a correlation coefficient of r = 0.13. What can you reasonably conclude? There may be a third variable involved in the relationship. Mean of the y-values A scatter diagram in which the points move from the bottom left to the upper right would be characterized by what type of correlation coefficient? positive A study found a correlation of r = 0.7 between watching Netflix and grade point average. The formula for the correlation coefficient is What values can the correlation coefficient assume? -1≤ r ≤ 1 What is Correlation Analysis? A group of techniques to measure the relationship between two variables. How would you describe this relationship? A moderate positive correlation. An experiment of study times versus test scores found a correlation coefficient of r = 0.49. In analyzing the strength of the relationship between two variables, what does the symbol r represent? The Pearson correlation coefficient. In a cause and effect relationship, it is the effect. If two variables are correlated to each other, which two of the following are characteristics of the dependent variable? It is usually shown on the vertical axis of a scatter diagram.
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