x y 1.0 3.6 2.0 4.1 3.0 3.6 4.0 5.3 5.0 4.4 6.0 6.8 7.0 5.7 8.0 7.8 9.0 6.7 10.0 7.8 y 1 2 3 4 5 6 7 8 9 10 11 x 1 2 3 4 5 6 7 8 9 10 11 0                          Figure 1                u v 1.0 7.8 2.0 8.7 3.0 6.8 4.0 5.6 5.0 8.3 6.0 5.2 7.0 4.2 8.0 7.0 9.0 6.1 10.0 3.5 v 1 2 3 4 5 6 7 8 9 10 11 u 1 2 3 4 5 6 7 8 9 10 11 0                          Figure 2                                                     w t 1.0 6.9 2.0 9.5 3.0 3.8 4.0 9.0 5.0 5.0 6.0 2.3 7.0 5.9 8.0 10.2 9.0 4.8 10.0 7.6 t 1 2 3 4 5 6 7 8 9 10 11 w 1 2 3 4 5 6 7 8 9 10 11 0                          Figure 3                m n 1.0 7.8 2.0 7.1 3.0 8.0 4.0 5.9 5.0 7.4 6.0 4.5 7.0 5.2 8.0 3.7 9.0 4.1 10.0 3.5 n 1 2 3 4 5 6 7 8 9 10 11 m 1 2 3 4 5 6 7 8 9 10 11 0                          Figure 4   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.     1. For which data set is the sample correlation coefficient r closest to 0? Choose onethe x, y data setthe u, v data setthe w, t data setthe m, n data set 2. Which data set indicates the strongest positive linear relationship between its two variables? Choose onethe x, y data setthe u, v data setthe w, t data setthe m, n data set 3. For which data set is the sample correlation coefficient r equal to 1? Choose onethe x, y data setthe u, v data setthe w, t data setthe m, n data setnone of the data sets 4. For which data set is the sample correlation coefficient r closest to -1? Choose onethe x, y data setthe u, v data setthe w, t data setthe m, n data set

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Author:Amos Gilat
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x y
1.0 3.6
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 Figure 1
 
            
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 Figure 4
 

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.

 

 

1. For which data set is the sample correlation coefficient r closest to 0? Choose onethe x, y data setthe u, v data setthe w, t data setthe m, n data set
2. Which data set indicates the strongest positive linear relationship between its two variables? Choose onethe x, y data setthe u, v data setthe w, t data setthe m, n data set
3. For which data set is the sample correlation coefficient r equal to 1? Choose onethe x, y data setthe u, v data setthe w, t data setthe m, n data setnone of the data sets
4. For which data set is the sample correlation coefficient r closest to -1? Choose onethe x, y data setthe u, v data setthe w, t data setthe m, n data set
 
 
 
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