The following graph shows a scatterplot of 10 cases, with one case denoted by th

Question

The following graph shows a scatterplot of 10 cases, with one case denoted by the symbol +, and one case denoted by x. The correlation coefficient for these ten cases is r = 0.660.

Consider three new data sets:

1: the nine cases that remain after deleting case +.

2: the nine cases that remain after deleting case x.

3: the eight cases that remain after deleting cases + and x.

The correlation coefficients for these three data sets are: r = 0.925; r = 0.720 and r = 0.285. Match each of the above data sets (1, 2 and 3) with its correlation coefficient.

Note: no calculations are necessary

Explanation / Answer

1: the nine cases that remain after deleting case +.

Ans: + set has a very less correlation. So, if we remove this +, remaining correlation should increase significantly.

0.925

2: the nine cases that remain after deleting case x.

Ans: x set has a high correlation. So, if we remove this x, remaining correlation should decrease significantly.

0.285

3: the eight cases that remain after deleting cases + and x.

Ans: 0.72

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