Stats: Modeling the World Nasta Edition Grades 9-12
Stats: Modeling the World Nasta Edition Grades 9-12
3rd Edition
ISBN: 9780131359581
Author: David E. Bock, Paul F. Velleman, Richard D. De Veaux
Publisher: PEARSON
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Chapter PII, Problem 1RE
To determine

To match the correct correlation given with the scatterplot in the question.

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Explanation of Solution

It is given in the question that every year US news and world report published issue on many U.S. colleges and universities. The scatterplots given in the question have student/faculty ratio on the y -axis are plotted against four other variables. The correlations are given as:

  (0.98,0.71,0.51,0.09,0.23,0.69)

Now, from the first scatterplot of “over 50 ” we can observe that the ratio has increased when the other has variable increased. A pattern like this that runs from the lower left to the upper right is said to be positive. The scatterplot has an underlying linear from although some points stray away from it. Therefore, the scatterplot of “over 50 ” has a positive correlation value of 0.69 .

And for the second scatterplot of “under 20 ” we can observe that the ratio has decreased when the other has variable decreased. A pattern like this that runs from the upper right to the lower left is said to be negative. The scatterplot has an underlying linear from although some points stray away from it. Therefore, the scatterplot of “under 20 ” has a negative correlation value of 0.71 .

Now, from the third scatterplot of “Full time” we can observe that the ratio has increased a little. A pattern like this that runs from the lower left to the upper right is said to be positive. The points in the scatterplot is scattered more. Therefore, the scatterplot of “Full time” has a positive correlation value of 0.09 .

And for the fourth scatterplot of “Graduating” we can observe that the ratio has decreased. A pattern like this that runs from the upper right to the lower left is said to be negative. The points in the scatterplot is scattered more than the second one. Therefore, the scatterplot of “Graduating” has a negative correlation value of 0.51 .

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