Question

Does a linear relation exist between age and HDL​ cholesterol? A. There appears to be a positive linear association because r is positive and greater than the critical value. B. There is little or no evidence of a linear association because r is positive and greater than the critical value. C. There appears to be a negative linear association because r is negative and less than the negative critical value. D. There is little or no evidence of a linear association because the absolute value of r is less than the critical value. More

Answer 1

The correct answer is - option D. There is little or no evidence of a linear association because the absolute value of r is less than the critical value.

Explanation:

Given:

Age Cholesterol

49 55

27 45

52 40

38 57

44 28

The linear correlation coefficient between age and HDL cholesterol can be computed by the=

r = Cov (X, Y)/ δx.δy

=v∑XY /√∑X2. ∑Y2

rv= negative 0.192

The absolute value of r is less than the critical value so there is no or very little evidence of linear association.