# Question

Consider the following data set:

(a) Draw a scatter diagram with the x-axis starting at 0 and ending at 30 and with the y-axis starting at 0 and ending at 20.

(b) Compute the linear correlation coefﬁcient.

(c) Now multiply both x and y by 2.

(d) Draw a scatter diagram of the new data with the x-axis starting at 0 and ending at 30 and with the y-axis starting at 0 and ending at 20. Compare the scatter diagrams.

(e) Compute the linear correlation coefﬁcient.

(f) Conclude that multiplying each value in the data set by a nonzero constant does not affect the correlation between the variables. Explain why this is the case.

(a) Draw a scatter diagram with the x-axis starting at 0 and ending at 30 and with the y-axis starting at 0 and ending at 20.

(b) Compute the linear correlation coefﬁcient.

(c) Now multiply both x and y by 2.

(d) Draw a scatter diagram of the new data with the x-axis starting at 0 and ending at 30 and with the y-axis starting at 0 and ending at 20. Compare the scatter diagrams.

(e) Compute the linear correlation coefﬁcient.

(f) Conclude that multiplying each value in the data set by a nonzero constant does not affect the correlation between the variables. Explain why this is the case.

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