What does it mean to say that two variables are positively associated?
choose the correct answer below.
a. there is a linear relationship between the variables, and whenever the value of one variable increases, the value of the other variable increases.
b. there is a relationship between the variables that is not linear.
c. there is a linear relationship between the variables, and whenever the value of one variable increases, the value of the other variable decreases.
d. there is a linear relationship between the variables.

Option A is correct.

Step-by-step explanation:

Correlation coefficients tell us how strongly the two variables are associated.

A positive correlation is a relation when both the variables move together in the same direction. Like if value of first increases the other also increases.

When the correlation coefficient is greater than 0, this means that both variables are correlated.

So, the answer here will be :

A. There is a linear relationship between the variables, and whenever the value of one variable increases, the value of the other variable increases.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c