Question

Part A: Estimate and interpret the correlation coefficient. (5 points) Part B: Create an outlier point for this graph that would cause the correlation to increase. Explain your reasoning. (5 points)

Answer 1

Answer:

The correlation coefficient will be "0.9188". The further explanation is given below.

Step-by-step explanation:

Let the values,

x = Age

y = Length

(A)...

$Cor(x,y)=\frac{\Sigma (xi-\bar{x})(yi-\bar{y})}\sqrt{\Sigma(xi-\bar{x})^2}\Sigma(yi-\bar{y}))^2}$

⇒            $=0.9188$

The age as well as the length of the legs seem to be highly positive.

(B)...

Now even the the paint (4.5, 8) appears to have been extreme rarity, because it's such a considerable distance from either the long term trend. Once we remove this obsⁿ, the maximum correlation becomes 0.9414. Thus, the addition of paint will reduce the association.