Question

. When analyzing the results of her experiment, Pearl provided the following information, "The variables are related by the equation m =3.20t−0.15." Which of the following qualitative relationships is accurate?no correlationnon-linear correlationnegative correlationpositive correlation

Answer 1

A positive correlation exists between two variables when they move in the same direction. This means that an increase or decrease in one variable would cause a corresponding increase or decrease in another. This rate of change in variables is known as slope. In positive correlation, the slope is always positive. The equation of a line in the slope intercept form is expressed as

y = mx + c

where m is the slope

The given relationship is

m = 3.20t - 0.15

By comparing it with the slope intercept equation, m = y and x = t. This means that the slope is 3.2 and it's positive. Thus, the answer is

positive correlation