Question

Five observations taken for two variables follow.

Answer 1

Answer:

-60 ; -0.9689

Step-by-step explanation:

Given the data:

xi 4 6 11 3 16

yi 50 50 40 60 30

The scatter diagram indicates a linear negative relationship between x and y. Thia is indicated by the negative direction of the trend line.

Sample covariance formula:

Σ(x-xi)(y-yi) / n - 1

Using calculator : sample covariance = - 60

The variables have negative covariance meaning an increase in one variable leads to a corresponding decrease in the other.

Sample correlation Coefficient : -0.9689

This shows that a very strong negative correlation exists between both variables. Because the correlation coefficient value is very close to - 1.