Question

Use a scatterplot and the linear correlation coefficient r r to determine whether there is a correlation between the two variables. (Note: Use software, and don't forget to look at the scatterplot!) x 0.6 1.1 2.3 3.1 4.7 5.9 6.5 7.3 8.9 9.2 10.9 11.9 12.8 13.6 14.6 y 15.5 13.9 10.9 13.4 10.8 11.1 10.4 5.7 4.3 3.8 6 4.5 4.2 -0.4 0.1 (a) r= r= equation editor Equation Editor (b) There is A. a positive correlation between x x and y y B. a nonlinear correlation between x x and y y C. a negative correlation between x x and y y D. a perfect positive correlation between x x and y y E. a perfect negative correlation between x x and y y F. no correlation between x x and y y

Answer 1

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Interpretation:

The scatter plot enables that there exists a negative association between the two quantitative variables x and y.

The correlation coefficient is indicates the perfect negative linear relationship between the two variables x and y.

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