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 (data481.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 andwhether or not linear regression might be appropriate. (Do this onpaper. Your instructor may ask you to turn in thisgraph.)

(b) Find the least-squares line. Summarize the significancetest for 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.

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

Answer all questions please

thank you

worker wages  los   size1    46.2755 117   Large2    47.091 80   Small3    47.8511 16   Small4    59.5874 43   Small5    38.4633 120   Large6    71.1974 201   Small7    38.8608 95   Large8    50.6896 80   Large9    56.9853 22   Large10   45.4327 150   Small11   58.0542 54   Large12   55.6568 47   Small13   54.9525 22   Small14   55.8058 37   Large15   53.6052 173   Large16   60.9977 19   Large17   49.5071 106   Large18   55.4894 168   Small19   45.1547 31   Large20   51.0904 90   Large21   82.706 53   Large22   40.0094 85   Small23   39.7198 78   Large24   40.4793 130   Small25   55.226 23   Large26   67.7592 70   Small27   37.2332 154   Small28   62.0567 59   Large29   48.24  54   Large30   38.2374 57   Large31   49.9539 75   Small32   49.698 95   Large33   42.1205 131   Large34   65.2506 42   Small35   43.5929 41   Large36   40.8412 62   Large37   44.0662 147   Large38   79.6358 33   Small39   37.1909 56   Large40   37.3583 172   Small41   52.1068 108   Small42   41.5689 39   Small43   59.9547 59   Large44   46.6482 136   Small45   55.733 73   Large46   43.977 180   Small47   37.4567 20   Large48   40.3858 49   Large49   43.2735 107   Small50   49.7031 100   Large51   43.4421 180   Large52   50.0051 83   Large53   48.7011 247   Large54   55.1619 102   Small55   45.6669 83   Small56   53.5955 105   Large57   39.6164 114   Small58   67.3802 62   Large59   60.3648 93   Small60   65.0431 37   Large