; Data from StatLib (ftp stat.cmu.edu/datasets) ; ; SUMMARY: ; ; Data from an experiment on the affects of machine adjustments on ; the time to count bolts. Data appear as the STATS (Issue 10) Challenge. ; ; DATA: ; ; Submitted by W. Robert Stephenson, Iowa State University ; email: wrstephe@iastate.edu ; ; A manufacturer of automotive accessories provides hardware, e.g. nuts, ; bolts, washers and screws, to fasten the accessory to the car or truck. ; Hardware is counted and packaged automatically. Specifically, bolts ; are dumped into a large metal dish. A plate that forms the bottom of ; the dish rotates counterclockwise. This rotation forces bolts to the ; outside of the dish and up along a narrow ledge. Due to the vibration ; of the dish caused by the spinning bottom plate, some bolts fall off ; the ledge and back into the dish. The ledge spirals up to a point ; where the bolts are allowed to drop into a pan on a conveyor belt. ; As a bolt drops, it passes by an electronic eye that counts it. When ; the electronic counter reaches the preset number of bolts, the ; rotation is stopped and the conveyor belt is moved forward. ; ; There are several adjustments on the machine that affect its operation. ; These include; a speed setting that controls the speed of rotation ; (SPEED1) of the plate at the bottom of the dish, a total number of ; bolts (TOTAL) to be counted, a second speed setting (SPEED2) that is ; used to change the speed of rotation (usually slowing it down) for the ; last few bolts, the number of bolts to be counted at this second speed ; (NUMBER2), and the sensitivity of the electronic eye (SENS). The ; sensitivity setting is to insure that the correct number of bolts are ; counted. Too few bolts packaged causes customer complaints. Too many ; bolts packaged increases costs. For each run conducted in this ; experiment the correct number of bolts was counted. From an ; engineering standpoint if the correct number of bolts is counted, the ; sensitivity should not affect the time to count bolts. The measured ; response is the time (TIME), in seconds, it takes to count the desired ; number of bolts. In order to put times on a equal footing the ; response to be analyzed is the time to count 20 bolts (T20BOLT). ; Below are the data for 40 combinations of settings. RUN is the order ; in which the data were collected. ; ; Analyze the data. What adjustments have the greatest effect on the ; time to count 20 bolts? How would you adjust the machine to get ; the shortest time to count 20 bolts? Are there any unusual features ; to the data? ; ; The data description and data may be freely used for non-commercial ; purposes and can be freely distributed. Copyright remains with the ; author and STATS Magazine. ; ;relation bolts ;attribute RUN integer ;attribute SPEED1 integer ;attribute TOTAL integer ;attribute SPEED2 integer ;attribute NUMBER2 integer ;attribute SENS integer ;attribute TIME real ;attribute T20BOLT real ;data (defrelation bolts (attribute x1 real) (attribute x2 real) (attribute x3 real) (attribute x4 real) (attribute x5 real) (attribute x6 real) (attribute x7 real) (attribute x8 real) (data 25 2 10 1.5 0 6 5.70 11.40 ) (data 24 2 10 1.5 0 10 17.56 35.12 ) (data 30 2 10 1.5 2 6 11.28 22.56 ) (data 2 2 10 1.5 2 10 8.39 16.78 ) (data 40 2 10 2.5 0 6 16.67 33.34 ) (data 37 2 10 2.5 0 10 12.04 24.08 ) (data 16 2 10 2.5 2 6 9.22 18.44 ) (data 22 2 10 2.5 2 10 3.94 7.88 ) (data 33 2 30 1.5 0 6 27.02 18.01 ) (data 17 2 30 1.5 0 10 19.46 12.97 ) (data 28 2 30 1.5 2 6 18.54 12.36 ) (data 27 2 30 1.5 2 10 25.70 17.13 ) (data 14 2 30 2.5 0 6 19.02 12.68 ) (data 13 2 30 2.5 0 10 22.39 14.93 ) (data 4 2 30 2.5 2 6 23.85 15.90 ) (data 21 2 30 2.5 2 10 30.12 20.08 ) (data 23 6 10 1.5 0 6 13.42 26.84 ) (data 35 6 10 1.5 0 10 34.26 68.52 ) (data 19 6 10 1.5 2 6 39.74 79.48 ) (data 34 6 10 1.5 2 10 10.60 21.20 ) (data 31 6 10 2.5 0 6 28.89 57.78 ) (data 9 6 10 2.5 0 10 35.61 71.22 ) (data 38 6 10 2.5 2 6 17.20 34.40 ) (data 15 6 10 2.5 2 10 6.00 12.00 ) (data 39 6 30 1.5 0 6 129.45 86.30 ) (data 8 6 30 1.5 0 0 107.38 71.59 ) (data 26 6 30 1.5 2 6 111.66 74.44 ) (data 11 6 30 1.5 2 0 109.10 72.73 ) (data 6 6 30 2.5 0 6 100.43 66.95 ) (data 20 6 30 2.5 0 0 109.28 72.85 ) (data 10 6 30 2.5 2 6 106.46 70.97 ) (data 32 6 30 2.5 2 0 134.01 89.34 ) (data 1 4 20 2.0 1 8 10.78 10.78 ) (data 3 4 20 2.0 1 8 9.39 9.39 ) (data 5 4 20 2.0 1 8 9.84 9.84 ) (data 7 4 20 2.0 1 8 13.94 13.94 ) (data 12 4 20 2.0 1 8 12.33 12.33 ) (data 18 4 20 2.0 1 8 7.32 7.32 ) (data 29 4 20 2.0 1 8 7.91 7.91 ) (data 36 4 20 2.0 1 8 15.58 15.58 ) )