Question
Part:
Part 2 of 5
(b) Compute the value of the correlation coefficient. Round your answer to at least three decimal places.
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:
- Calculate the means of the
and values. - Find the deviations from the mean for each data point.
- Multiply the deviations and sum the products.
- Square the deviations and sum them separately for both
and . - Plug these sums into the correlation coefficient formula.
- Round the result to at least three decimal places.
Without specific data, the exact value of
cannot be determined.
Solution
- The correlation coefficient,
, is given by the formula
where
-
and are the data values, -
and are the means of the and values respectively.
-
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.
- Calculate the means
-
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!