 Hello and welcome to the session. In this session we are going to discuss the following question and the question says that draw scatter plot for the given table and find whether the relationship is linear or non-linear. Now we know that if the points follow a straight line then it is a linear relationship between the two variables that is x and y and if the points follow a curve then it is a non-linear relationship between the two variables that is x and y with this key idea let us proceed to the solution. We are given data for two variables x and y here we see that we are given values for y as 95, 90, 90, 86, 83, 76, 66, 55, 44, 26 and 9 and the corresponding values for x are given as 2, 6, 10, 17, 21, 23, 29, 31, 32, 33 and 34 so we first draw vertical axis and horizontal axis choosing an appropriate scale of 10 and 4 respectively. Vertical axis is y axis and horizontal axis is x axis and now we label the vertical axis as 10, 20, 30 up to 100 and we label 4, 8, 12 up to 44 on horizontal axis that is x axis and now we plot the given points by taking other pair x, y and our first pair is 295 so by taking 2 on horizontal axis and the corresponding y value that is 95 on vertical axis we put a dot here our next order there is 690 so again by taking 6 on vertical axis and the corresponding y value that is 90 on horizontal axis we put a dot here and similarly we can plot all the other pairs and the coordinate plane and thus we get the following graph now we see that the points are moving downwards showing negative relationship that is with increase in the x quantity the y quantity is decreasing and we see that the points are moving in the form of a curve and not a line and from the key idea we know that when the points are in the form of a curve then it is a non-linear relationship between the two variables that is x and y so we say that since the points follow a curve so there exists a non-linear relationship between x and y which is the required answer this completes our session hope you enjoyed this session