Question

Interpret the following correlation coefficients and list them in order from weakest to strongest.

−0.89234651

0.72643969
−0.99872348

0.69846237
(1 point)
Responses

 −0.99872348
, −0.89234651
, 0.72643969, and 0.69846237
  negative 0.99872348 , negative 0.89234651 , 0.72643969, and 0.69846237

0.69846237, 0.72643969, −0.89234651
, and −0.99872348

0.69846237, 0.72643969, negative 0.89234651 , and negative 0.99872348

0.69846237, 0.72643969,−0.99872348
, and −0.89234651

0.69846237, 0.72643969, negative 0.99872348 , and negative 0.89234651

−0.89234651
, −0.99872348
, 0.69846237, and 0.72643969

Answers

Answered by GPT-4o mini
To interpret the correlation coefficients and order them from weakest to strongest, we consider the absolute values of the coefficients, as well as their signs. Correlation values range from -1 to 1, where values closer to -1 represent strong negative correlations, values closer to 1 represent strong positive correlations, and values around 0 indicate weak or no correlation.

The correlation coefficients given are:

- −0.99872348
- −0.89234651
- 0.72643969
- 0.69846237

First, we take the absolute values:

- |-0.99872348| = 0.99872348
- |-0.89234651| = 0.89234651
- |0.72643969| = 0.72643969
- |0.69846237| = 0.69846237

Now, we will order these absolute values from weakest to strongest:

1. 0.69846237 (weakest)
2. 0.72643969
3. 0.89234651
4. 0.99872348 (strongest)

Now, we consider the signs:

- The weakest is positive 0.69846237.
- Next is positive 0.72643969.
- Followed by negative 0.89234651.
- The strongest is negative 0.99872348.

Thus, the final order from weakest to strongest correlation is:

0.69846237, 0.72643969, -0.89234651, and -0.99872348.

Based on the provided options, the correct response is:
**0.69846237, 0.72643969, negative 0.89234651, and negative 0.99872348.**
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