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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

0.69846237, 0.72643969,−0.99872348
, and −0.89234651

0.69846237, 0.72643969, negative 0.99872348 , and negative 0.89234651

0.69846237, 0.72643969, −0.89234651
, and −0.99872348

0.69846237, 0.72643969, negative 0.89234651 , and negative 0.99872348

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

−0.89234651
, −0.99872348
, 0.69846237, and 0.72643969

1 answer

To interpret the correlation coefficients from weakest to strongest, we look at both the strength and direction of the correlations:

  • Correlation Coefficient Range:
    • Values close to 1 indicate a strong positive correlation.
    • Values close to -1 indicate a strong negative correlation.
    • Values near 0 indicate weak or no correlation.

The provided correlation coefficients are:

  1. −0.89234651 (strong negative)
  2. 0.72643969 (strong positive)
  3. −0.99872348 (very strong negative)
  4. 0.69846237 (strong positive)

Now we can rank them based on their absolute values (the strength of the correlation):

  • 0.69846237 (weak compared to others)
  • 0.72643969 (slightly stronger)
  • -0.89234651 (strong negative)
  • -0.99872348 (very strong negative)

When organizing the coefficients in order from weakest to strongest:

  • 0.69846237
  • 0.72643969
  • -0.89234651
  • -0.99872348

Thus, the correct response that arranges these correlation coefficients from weakest to strongest is:

0.69846237, 0.72643969, −0.89234651, and −0.99872348.