For the following data set, complete parts (a) through (f) below:

(a) Draw a scatter diagram.

(b) Compute the linear correlation coefficient (r).

(c) Multiply both x and y by 2 and draw a scatter diagram of the new data.

(d) Compare the new scatter diagram to the original scatter diagram in terms of correlation.

(e) Compute the linear correlation coefficient (r) for the new data.

(f) Conclude the effect of multiplying each value in the data set by a nonzero constant on the correlation.

To complete the task, draw scatter diagrams, compute correlation coefficients, and analyze the effects of multiplying the data set by a nonzero constant on correlation.

Explanation:

To complete parts (a) through (f) for the given data set, follow these steps:

(a) Draw a scatter diagram by plotting the data points on a graph.
(b) Compute the linear correlation coefficient (r) using the formula provided.
(c) Multiply both x and y values by 2 and draw a new scatter diagram of the new data points.
(d) Compare the new scatter diagram to the original one in terms of correlation.
(e) Compute the linear correlation coefficient (r) for the new data.
(f) Conclude the effect of multiplying each value in the data set by a nonzero constant on the correlation.

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