which statement is true?\na strong association implies a positive correlation.\na positive correlation…

which statement is true?\na strong association implies a positive correlation.\na positive correlation implies a strong association.\na positive correlation implies a positive slope.\na negative correlation implies a weak association.

which statement is true?\na strong association implies a positive correlation.\na positive correlation implies a strong association.\na positive correlation implies a positive slope.\na negative correlation implies a weak association.

Answer

Brief Explanations:

  1. A strong association can be either positive or negative, so "A strong association implies a positive correlation" is false.
  2. A positive correlation doesn't necessarily mean a strong association; the strength is measured by the magnitude of the correlation - coefficient, so "A positive correlation implies a strong association" is false.
  3. In a linear - relationship, a positive correlation means that as one variable increases, the other variable also increases on average, which implies a positive slope for the regression line. This is correct.
  4. A negative correlation can be strong or weak, so "A negative correlation implies a weak association" is false.

Answer:

A positive correlation implies a positive slope.