Question

Which best describes the strength of the model?

Answer 1

The correct answer is B. A strong positive correlation

Answer 2

Answer: Option C

Step-by-step explanation: A Positive correlation means that as one variable increases, also does the other variable.

In this case, if we put the data in order we have:

$10 ----- 650 calories

$11 ----- 1250 calores (here we have an increase)

$12 ----- 550 calories (here we have a decrease)

$13 ---- 780 calories (here we have an increase)

The correlation can be calculated with a calculator, and it yields to:

C = (∑(x-x')(y-y'))/√(∑(x-x')^2*∑(y-y')^2) = -0.12924

(where y' and x' are the means of the variables x and y)

So whe can see that the correltion is negative and close to zero, so this is a weak negative correlation.