Question
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Part:
Part 2 of 5
(b) Compute the value of the correlation coefficient. Round your answer to at least three decimal places.

Ask by Schmidt Schwartz. in the United States
Mar 20,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

To compute the correlation coefficient , follow these steps:
  1. Calculate the means of the and values.
  2. Find the deviations from the mean for each data point.
  3. Multiply the deviations and sum the products.
  4. Square the deviations and sum them separately for both and .
  5. Plug these sums into the correlation coefficient formula.
  6. Round the result to at least three decimal places.
Without specific data, the exact value of cannot be determined.

Solution

  1. The correlation coefficient, , is given by the formula
where
  • and are the data values,
  • and are the means of the and values respectively.
  1. To compute , you would typically:
    • Calculate the means and .
    • Compute the deviations and .
    • Multiply the deviations and sum the products to obtain .
    • Compute the sums and .
    • Substitute these sums into the formula above.
  2. Finally, round the obtained value of to at least three decimal places.
Since the specific data needed for these calculations was not provided, we cannot compute an explicit numerical value. Please provide the dataset or additional information to continue with calculating .

Answered by UpStudy AI and reviewed by a Professional Tutor

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The Deep Dive

To compute the correlation coefficient , you can use the formula:
Where:
  • is the number of pairs,
  • and are the individual data points.
Make sure you have your sums calculated for , , , , and . Plug in the values into the formula, perform the calculations, and round your final result to at least three decimal places.
If you provide the specific data points, I can help with the calculations as well!

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