Below are four bivariate data sets and their scatter plots. (Note that all of the scatter plots are displayed with the same scale.) Each data set is made up of sample values drawn from a population. " P 1.0 7.7 2.0 9.0 10- 3.0 6.8 1.0 2.9 10- 2.0 4.1 9. 3.0 3.5 4.0 5.4 5.0 8.2 6.0 4.9 7.0 4.2 8.0 7.0 9.0 6.1 4.0 4.5 6- 5.0 4.9 6.0 7.1 7.0 5.5 8.0 8.1 9.0 7.4 Figure 1 10.0 4.1 Figure 2 10.0 7.8 m " 1.0 1.0 11 10- 1.0 7.1 11 10- 2.0 2.0 9. 2.0 9.7 x 8. 3.0 3.0 74 3.0 4.1 x 4.0 4.0 6 4.0 8.9 5.0 5.0 5. 44 5.0 4.8 6.0 6.0 34 6.0 2.0 2- 7.0 7.0 7.0 6.1 8,0 8.0 0 8.0 10.0 2345 1891011 9.0 9.0 10.0 10.0 9.0 4.8 Figure 3 Figure 4 10.0 7.8 ? 8 E Answer the following questions about the relationships between pairs of variables and the values of r, the sample correlation coefficient. The same response may be the correct answer for more than one question. (a) For which data set is the sample correlation coefficient r equal to -1? (Choose one) (b) For which data set is the sample correlation coefficient r closest to 0? (Choose one) (c) Which data set indicates the strongest positive linear relationship between its two variables? (Choose one) (d) Which data set has an apparent positive, but not perfect, linear relationship between its two variables? (Choose one) 5
Below are four bivariate data sets and their scatter plots. (Note that all of the scatter plots are displayed with the same scale.) Each data set is made up of sample values drawn from a population. " P 1.0 7.7 2.0 9.0 10- 3.0 6.8 1.0 2.9 10- 2.0 4.1 9. 3.0 3.5 4.0 5.4 5.0 8.2 6.0 4.9 7.0 4.2 8.0 7.0 9.0 6.1 4.0 4.5 6- 5.0 4.9 6.0 7.1 7.0 5.5 8.0 8.1 9.0 7.4 Figure 1 10.0 4.1 Figure 2 10.0 7.8 m " 1.0 1.0 11 10- 1.0 7.1 11 10- 2.0 2.0 9. 2.0 9.7 x 8. 3.0 3.0 74 3.0 4.1 x 4.0 4.0 6 4.0 8.9 5.0 5.0 5. 44 5.0 4.8 6.0 6.0 34 6.0 2.0 2- 7.0 7.0 7.0 6.1 8,0 8.0 0 8.0 10.0 2345 1891011 9.0 9.0 10.0 10.0 9.0 4.8 Figure 3 Figure 4 10.0 7.8 ? 8 E Answer the following questions about the relationships between pairs of variables and the values of r, the sample correlation coefficient. The same response may be the correct answer for more than one question. (a) For which data set is the sample correlation coefficient r equal to -1? (Choose one) (b) For which data set is the sample correlation coefficient r closest to 0? (Choose one) (c) Which data set indicates the strongest positive linear relationship between its two variables? (Choose one) (d) Which data set has an apparent positive, but not perfect, linear relationship between its two variables? (Choose one) 5
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3CYU
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