 Hi and welcome to the session. Let's work out the following question. The question says, sure that there is no correlation between the variables X and Y in the following data. We are given a table here. In the first row, we have the X's that are 1, 2, 3, 4, 5 and we have corresponding Y's. They are 4, 1, 0, 1, 4 respectively. So, let us start with a solution to this question. Now, first of all, like this, we make a table wherein we have the following columns. Here we have X's, Y, X, Y. Now, let us multiply X with Y to get X, Y. So, we will have 4, 2, 0, 4, 20. X square will be 1, 4, 9, 16, 25 and Y square will be 16, 1, 0, 1, 16. We see that X is sum up to 15. Y sum up to 10. X Y sum up to 30. This sums up to 55. This sums up to 34. Hence, we have N is equal to 5. Submission X is equal to 15. Submission Y is equal to 10. Submission X Y is equal to 30. Submission X square is equal to 55 and Submission Y square is equal to 34. Now, we know that correlation coefficient is given by R that is equal to N into Submission X Y minus Submission X into Submission Y, the whole divided by square root N into Submission X square minus Submission X the whole square multiplied by square root N into Submission Y square minus Submission Y the whole square. Now, we simply put in the values here and we get N that is 5 into 30 minus 15 into 10 divided by square root of 5 into 55 minus 15 square multiplied by square root of 5 into 34 minus 10 square. Now, this simplifies to 150 minus 150 divided by square root of 275 minus 225 multiplied by square root of 170 minus 100 and this is equal to 0. So, R is equal to 0. Thus, there is no correlation between X and Y. So, this is our answer to this question. I hope that you understood the solution and enjoyed the session. Have a good day.