Which numerical descriptive measure shows whether two numerical variables have a linear relationship? Multiple choice question. Measures of central location Measures of dispersion Measures of association Measures of shape
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- Measures of central location (e.g., mean, median) describe the center of a data set. - Measures of dispersion (e.g., variance, standard deviation) describe the spread or variability of data. - Measures of association describe the relationship between two Show more…
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1. A measure of ______________ describes the distribution of data values around the most frequent, middle or central value. a. dispersion b. central tendency c. association d. linear regression 2. A measure of _____________ locates the middle or center of a distribution and describes a typical case. a) dispersion b) central tendency c) association d) linear regression
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76. If the correlation coefficient r between two variables X and Y is computed to be 1.223, then a) positive linear association exists c) no association exists b) X clearly causes Y d) a mistake occurred 77. If the value of r is .40, then ____ of the variation in Y is "explained" by linear dependence on X. a) 63.2% b) 40% c) 20% d) 16% 78. The sign of the correlation coefficient r and the slope of the least squares regression line for a set of data will be a) the same b) opposites c) same when association is positive d) opposites when association is negative 79. If X is the age of a tree and Y is the height of the tree in inches, then r would have as its units a) in/year b) years/in c) years d) none of these 80. The least squares regression line may not be appropriate if a) outliers are present in the data b) extrapolation is used b) the association is not linear d) all of these 81. Suppose that r is computed for the variables X and Y. If the variables are reversed (X becomes Y and Y becomes X), then r a) reverses sign b) cannot be computed c) stays the same d) is cut in half 82. It is important to remember that when calculating r for two variables X and Y, an observed nonzero value for r may be due to a) chance b) confounding c) common response d) any of these 83. A plotting of bivariate data on a coordinate system is called a a) flow chart b) scatterplot c) pie chart d) bivariate chart
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In describing data from a continuous distribution, what kind of measure should accompany each measure of central tendency? A. The median B. Dependent variable C. Correlation D. Dispersion
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