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  3. 7. the following data represent the number of work

7. The following data represent the number of workdays absent during the past year, y, and...

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Statistics

7. The following data represent the number of workdays absentduring the past year, y, and the number of years employed by thecompany x, for seven employees randomly selected from a largecompany. Assume data is normally distributed.

Y 2 0 5 6 4 9 2

X 7 8 2 3 5 3 7

The slope estimate (b1) was found to be = -1.09 That is:

b 1= nExy - (Ex) (EY)

---------------------------- = - 1.09

  nEx2 - (EX)2

a) Using appropriate statistical techniques and the above-addedinformation, find the least squares estimate of the regressionequation. i. e. What is the linear regression equation?

b) Using the proper (hypothesis) statistical test, support orrefute the assumption above, i.e. there is a linear relationshipbetween years employed and absenteeism. [

Note: S(b) = 0.28425

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