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.
