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As Safety, Health and Environmental (SHE) consultant, the occupational health nurse of a large tyre production plant advises you that a large number of workers

As Safety, Health and Environmental (SHE) consultant, the occupational health nurse of a large tyre production plant advises you that a large number of workers in the same production area are visiting the clinic each day to receive simple medication for headaches. In some cases, the headaches are severe, and some workers believe that their headaches are caused by the high air temperatures during the day which they have reported to their union.

Your environmental investigation shows that temperatures at different sites in the plant are similar, but vary greatly on a day-to-day basis, suggesting poor ambient temperature control. The nurse supplies a daily record of all headaches of a similar type of 15-days, as well as details of the number of people employed in the factory each day. The production engineer supplies records of mean production area temperature during each daily shift. These data are tabulated here.

Table: Employees with headaches and corresponding mean production area temperature

Day Number of employees complaining of headaches Total number of employees in production area on that day Mean air temperature(C) in production area on that day
1 25 280 26
2 22 285 26
3 23 300 24
4 21 288 22
5 17 290 18
6 28 280 28
7 19 300 19
8 18 300 19
9 20 290 20
10 19 298 17
11 17 190 19
12 14 194 19
13 13 198 17
14 12 187 16
15 30 178 29

  1. Plot a graph using Excel and insert a line of best fit line. [3 marks]
  2. CalculatePearson's Product Moment Correlation Coefficient 'r' (notr2) using Excel's "insert function" ( fx). (write formula) [2 marks]
  3. Make a short comment on your observations based on this graph and 'r'. [1 mark]

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