1. Profits have been as follows ($m):

2000 | 2001 | 2002 | 2003 | 2004 |

4.1Â Â Â Â Â Â Â Â Â | 3.7Â Â Â Â Â Â Â Â Â Â | 3.5 | 3.8 | 3.9 |

When converted to index numbers with base 2000, the index for 2004 is;

2. Which of the following statements about the base year is/are correct?

3. The following price index has undergone a change of base in 2012.

Year | Price Index(2002 = 100) |

2009 | 141 |

2010 | 148 |

2011Â | 155 |

2012Â | 163 |

Year | Price Index(2012=100) |

2013 | 106 |

2014 | 110 |

2015 | 116 |

What will the index value for 2010 be if was based on the base year of 2012?

6. The management of company V, which launched a series of new products in the last year, is closely monitoring the sales of the products. Over the first quarter of the current year, the have noticed that the demand for the product has been increasing in a way which can be described using the equation Y=A+BX, where B=18.34 . if Î£X=72, Î£Y=1,096, Î£XY=7,640, Î£X2=490 and N=12, what is the value of â€˜Aâ€™ in the equation Y=A+BX?

7. Monthly sales for product T follow a linear trend of Y=4.96+2.764X, where Y is the number of units sold and X is the number of the month. Monthly deviations from the trend follow an additive model. What is the forecast number of units of product T to be sold in month 45, if the seasonal factor is plus 9?

8. Over a period of 22 months, the production costs at a factory are identified to follow a linear trend of Y=7.09+1.967X. The production costs range from $20,000 to $70,000. Which two of the following statements are correct?

A. Variable cost is $1.967 per unit

B. Fixed costs are $7.09 per unit

C. When X increases by 1, Y increases by 1.967

D. When X=0, Y=7.09

9. Company B had a revenue of $650,000 in the previous month. If the underlying trend was $700,000 and the seasonal factor is 0.92, what is the seasonally adjusted figure for last monthâ€™s revenue, assuming a multiplicative model for seasonal adjustment?

10. Based on twenty past quarters, the underlying trend equation for forecasting is y=23.87 + 2.4x. If quarter 21 has a seasonal factor of 1.08, using a multiplicative model, then the forecast for the quarter in whole units, is;