We assume that our wages will increase as we gain experience andbecome more valuable to our employers. Wages also increase becauseof inflation. By examining a sample of employees at a given pointin time, we can look at part of the picture. How does length ofservice (LOS) relate to wages? The data here (data438.dat) is theLOS in months and wages for 60 women who work in Indiana banks.Wages are yearly total income divided by the number of weeksworked. We have multiplied wages by a constant for reasons ofconfidentiality.
(a) Plot wages versus LOS. Consider the relationship and whether ornot linear regression might be appropriate. (Do this on paper. Yourinstructor may ask you to turn in this graph.)

(b) Find the least-squares line. Summarize the significance testfor the slope. What do you conclude?
Wages =   + LOS
t =     
P =  

(c) State carefully what the slope tells you about therelationship between wages and length of service.

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(d) Give a 95% confidence interval for the slope.
( , )

worker wages  los   size1    48.8329 97   Large2    78.2535 28   Small3    48.5138 22   Small4    41.3975 34   Small5    46.5544 22   Large6    50.0827 36   Small7    49.9522 30   Large8    41.034 38   Large9    42.8532 50   Large10   42.9051 160   Small11   60.7879 67   Large12   63.7248 90   Small13   44.9267 75   Small14   66.4115 45   Large15   54.5279 62   Large16   38.777 33   Large17   40.5469 74   Large18   42.0242 33   Small19   39.4129 151   Large20   59.0103 145   Large21   57.4567 17   Large22   49.0608 38   Small23   72.6341 141   Large24   43.5226 36   Small25   40.3436 56   Large26   46.0549 88   Small27   38.4406 133   Small28   62.0137 44   Large29   48.8695 116   Large30   38.204 23   Large31   44.858 83   Small32   55.3133 21   Large33   56.7109 16   Large34   40.989 34   Small35   50.3024 90   Large36   39.6625 26   Large37   38.9004 88   Large38   54.0486 83   Small39   39.6416 134   Large40   54.4411 69   Small41   43.3311 101   Small42   52.6132 124   Small43   51.0736 114   Large44   40.7319 119   Small45   86.2669 46   Large46   44.7879 38   Small47   61.0304 27   Large48   37.5828 90   Large49   79.3865 32   Small50   60.6761 155   Large51   56.5249 42   Large52   45.8192 60   Large53   42.2774 143   Large54   37.538 38   Small55   79.559 47   Small56   46.9229 111   Large57   66.448 55   Small58   39.1776 96   Large59   79.3531 119   Small60   45.389 106   Large

I really don't understand how to do this problem. Can someoneexplain every step?