 Hello and welcome to the session. In this session we are going to discuss the following question and the question says that 10 identical gardens were watered different number of times each week. The number of flowers produced by each garden is given in the following table. In the first row we are given number of times each garden is being watered and in the second row we are given number of flowers produced. For the above data the regression line is given by the equation y is equal to 14.1333x plus 10.6 Interpret the slope and the vertical intercept of the regression line in the context of this situation. Now let us start with the solution of this given question. Here we are given number of times each garden is being watered, let us denote it by x and number of flowers produced, let us denote it by y. We are also given regression line which is given by the equation y is equal to 14.1333x plus 10.6. We have to interpret its slope and the y intercept. Now regression line is of the form y is equal to mx plus b where m is the slope and b is the y intercept. Now on comparing the two equations the value of slope that is m is equal to 14.1333 and the value of y intercept that is b is equal to 10.6. Now slope tells us for each unit increase in x the variable y will increase by m units. Here slope m is equal to 14.1333 which is positive so it tells the number of flowers in our garden will increase by 14 approximately when we increase watering by one unit. Here y intercept that is the value of b is equal to 10.6 which is approximately equal to 11. It tells us the initial value of y here it means even if we do not water our garden then also about 11 flowers will be produced in that garden. This is the required answer. This completes our session. Hope you enjoyed this session.