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

1 answer

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.