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

−0.89234651

0.89234651
0.72643969
−0.99872348

0.99872348
0.69846237
(1 point)
Responses

−0.89234651

0.89234651
, −0.99872348

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

0.69846237, 0.72643969,−0.99872348

0.99872348
, and −0.89234651

0.89234651

0.69846237, 0.72643969, negative 0.99872348 , and negative 0.89234651

 −0.99872348

0.99872348
, −0.89234651

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

0.69846237, 0.72643969, −0.89234651

0.89234651
, and −0.99872348

0.99872348

1 answer

To interpret the correlation coefficients and order them from weakest to strongest, we need to consider both the magnitude and the sign of the coefficients. The values range from -1 to 1, where:

  • A value of 1 indicates a perfect positive correlation.
  • A value of -1 indicates a perfect negative correlation.
  • A value of 0 indicates no correlation.

Coefficients that are closer to -1 or 1 indicate stronger correlations, while those closer to 0 indicate weaker correlations.

Here are the correlation coefficients listed:

  1. 0.69846237 (positive correlation, weaker than the others)
  2. 0.72643969 (positive correlation, slightly stronger than 0.69846237)
  3. -0.89234651 (strong negative correlation)
  4. -0.99872348 (very strong negative correlation, closest to -1)

With the above analysis, the order from weakest to strongest correlation is:

  • 0.69846237
  • 0.72643969
  • -0.89234651
  • -0.99872348

From the options provided, the closest match would likely be:

0.69846237, 0.72643969, −0.89234651, and −0.99872348.

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