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question 7 of 10 use a calculator to find the r - value of these data. …

Question

question 7 of 10
use a calculator to find the r - value of these data. round the value to three decimal places.

xy
717
1016
1512
197

a. -0.971
b. 0.985
c. 0.971
d. -0.985

Explanation:

Step1: Use calculator's correlation - coefficient function

Most scientific calculators have a statistical mode. Enter the \(x\) - values (\(5,7,10,15,19\)) and \(y\) - values (\(19,17,16,12,7\)) into the list functions of the calculator. Then use the function to calculate the correlation coefficient \(r\).
As \(x\) increases (\(5\) to \(19\)) and \(y\) decreases (\(19\) to \(7\)), we expect a negative correlation.

Step2: Round the result

After getting the value from the calculator, round it to three decimal places. When calculated correctly, the \(r\) - value for the given data is approximately \(- 0.985\).

Answer:

D. -0.985