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

0.69846237, 0.72643969,−0.99872348
, and −0.89234651

1 answer

To interpret the correlation coefficients, we need to consider both the strength and the direction of each correlation:

  • Strength: Ranges from -1 to 1. Values closer to -1 indicate a strong negative correlation, values closer to 1 indicate a strong positive correlation, and values around 0 indicate little to no correlation.
  • Direction: Positive values indicate a positive correlation, while negative values indicate a negative correlation.

The given coefficients are:

  • −0.99872348 (strong negative)
  • −0.89234651 (strong negative)
  • 0.72643969 (moderate positive)
  • 0.69846237 (moderate positive)

Now, let's rank these coefficients from weakest to strongest:

  1. 0.69846237 (weakest)
  2. 0.72643969 (stronger than 0.6984)
  3. −0.89234651 (strong negative)
  4. −0.99872348 (strongest negative)

Thus, the order from weakest to strongest is: 0.69846237, 0.72643969, −0.89234651, −0.99872348

The response that reflects this order is: 0.69846237, 0.72643969, −0.89234651, and −0.99872348.

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