Determine the statistical relationship between temperature and sale of water and interpret. How much change in sales if the temperature increases by two degrees? If for instance, the temperature becomes zero then how much sales will be? How much percent variation in sales due to temperature and due to other factors? Write the equation for the prediction of sales

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A well-known multinational FMCG produces more than fifty products and sells them in the market. Out of fifty products one is mineral water for drinking purpose and supplies different size pack bottles in the market. Product manager observed that, during hot days the sale of water is more as compared to the normal days.  He started the collection of data of weekly sale of water and the average weekly temperature.

Product manager was interested in developing a relationship between sales and temperature; therefore, he discussed and shared the following data with you.

sales

75

77

69

63

79

80

77

70

73

87

72

73

80

80

69

84

77

72

74

81

temperature

32

36

31

31

34

29

32

35

28

31

30

31

29

35

36

28

32

33

32

33

 

Sale is in thousand liters and temperature is in degree Celsius. Data is Normally distributed

 

You are required to determine the following information for some concrete decision:

 

  1. Determine the statistical relationship between temperature and sale of water and interpret.
  2. How much change in sales if the temperature increases by two degrees?
  3. If for instance, the temperature becomes zero then how much sales will be?
  4. How much percent variation in sales due to temperature and due to other factors?
  5. Write the equation for the prediction of sales.  
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