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Withdrawal      1    2     3     4    5     6    7     8    9    10

                                      x          40   10   100   110  120   150   20    90   80   130
                                      y          55   62   195   330   95   270   48   195  214   285

                       a.   Draw a scatterplot for this data. (Use graph sheet)
                       b.   Interpret the gradient of the regression line.

              C.   Competency-based/Application-based questions:
                   1.   Tanu is studying correlation. She has to identify which scenario matches positive, negative or no correlation. Help
                       Tanu to do so.
                       a.     an increase in the number of kilometres ran everyday leads to an increase in the number of calories a person
                           burns.
                       b.   an increase in salary does not affect one’s height.
                       c.   the price of tomatoes increases but its demand decreases.
                   2.   Now Tanu calculates the correlation coefficient between amount of fertilizer used and crop yield. The correlation
                       coefficient’s value comes out to be 0.84. What does this value signify?




                                  In Life                                                               Life Skills & Values



                   Regression plays an important role in real-life too. Agricultural scientists use linear regression to assess  the effect
                   of fertilizers and water on crop yields. Find out 2 more examples where regression helps in real life.







                             Deep Thinking                                                              Critical Thinking



                  Suppose you are working in a pharmaceutical company. Your team has to collect and analyse data regarding shelf
                  life of a drug released by your company. Find out ways in which regression can help you. (Hint - Risk analysis, better
                  decision making etc.)






                              Lab                                                                        Interdisciplinary



                        1.    A shopkeeper sells pens in his shop. He sells the pens for a different cost price for six weeks. He notes
                            the number of pens, y, sold each week. The results are shown in the table below:

                                          x (cost price)         15   20    25   30    35   40
                                          y (no. of pens sold)   65   60    55   45    38   35

                            Plot the scatterplot for the above on graph paper.





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