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 7 5 7 7 6 9 6 3 7 9 8 0 7 7 7 0 7 3 8 7 7 2 7 3 8 0 8 0 6 9 8 4 7 7 7 2 7 4 8 1 temperatur e 3 2 3 6 3 1 3 1 3 4 2 9 3 2 3 5 2 8 3 1 3 0 3 1 2 9 3 5 3 6 2 8 3 2 3 3 3 2 3 3 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: a. Determine the statistical relationship between temperature and sale of water and interpret. b. How much change in sales if the temperature increases by two degrees? c. If for instance, the temperature becomes zero then how much sales will be?
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
7
5
7
7
6
9
6
3
7
9
8
0
7
7
7
0
7
3
8
7
7
2
7
3
8
0
8
0
6
9
8
4
7
7
7
2
7
4
8
1
temperatur
e
3
2
3
6
3
1
3
1
3
4
2
9
3
2
3
5
2
8
3
1
3
0
3
1
2
9
3
5
3
6
2
8
3
2
3
3
3
2
3
3
Sale is in thousand liters and temperature is in degree Celsius. Data is
You are required to determine the following information for some concrete decision:
a. Determine the statistical relationship between temperature and sale of water and
interpret.
b. How much change in sales if the temperature increases by two degrees?
c. If for instance, the temperature becomes zero then how much sales will be?
d. How much percent variation in sales due to temperature and due to other factors?
e. Write the equation for the prediction of sales.
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