Question - Department of Statistics

Department of Statistics COURSE STATS 330 Assignment 1, 2004 Instructions: Hand in your completed assignment to the Student Resource Centre by 4pm on Thursday 5th August. The data set cpu.csv contains data on 209 models of computer in use in the 60’s and 70’s. This file (in the form of a csv file) can be downloaded from the course web page. The data are also reproduced at the end of this assignment. The data set has four variables: name: manufacturer and model mem:

main memory in kilobytes

cach:

cache size in kilobytes

perf: published performance on a benchmark mix relative to an IBM 370/158-3 Load the data into R. Then answer the following: 1. Do you think the IBM computers have better performance than the other brands? Support your conclusion with suitable graphs. 2. Is there a relationship between performance and memory size? If so, is the relationship different for different cache sizes? 3. Fit a regression model to the data, using memory size and cache size to explain the performance. Do the variables mem and cach in fact help explain the performance of the different computers? Do we need both variables, or will one be sufficient? 4. Do you think that the relationship between these variables (if one exists) can be adequately represented by a linear (planar) surface?

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53

name ADVISOR 32/60 AMDAHL 470V/7 AMDAHL 470/7A AMDAHL 470V/7B AMDAHL 470V/7C AMDAHL 470V/8 AMDAHL 580-5840 AMDAHL 580-5850 AMDAHL 580-5860 AMDAHL 580 5880 APOLLO DN320 APOLLO DN420 BASF 7/65 BASF 7/68 BTI 5000 BTI 8000 BURROUGHS B1955 BURROUGHS B2900 BURROUGHS B2925 BURROUGHS B4955 BURROUGHS B5900 BURROUGHS B5920 BURROUGHS B6900 BURROUGHS B6925 C.R.D. 68/10-80 C.R.D. UNIVERSE 2203T C.R.D. UNIVERSE 68 C.R.D. UNIVERSE 68/05 C.R.D. UNIVERSE 68/137 C.R.D. UNIVERSE 68/37 CDC CYBER 170/750 CDC CYBER 170/760 CDC CYBER 170/815 CDC CYBER 170/825 CDC CYBER 170/835 CDC CYBER 170/845 CDC OMEGA 480-I CDC OMEGA 480-II CDC OMEGA 480-III CAMBEX 1636-1 CAMBEX 1636-10 CAMBEX 1641-1 CAMBEX 1641-11 CAMBEX 1651-1 DEC DECSYS 10 1091 DEC DECSYS 20 2060 DEC MICROVAX-1 DEC VAX 11/730 DEC VAX 11/750 DEC VAX 11/780 DG ECLIPSE C/350 DG ECLIPSE M/600 DG ECLIPSE MV/1000

mmax cach perf 6000 256 198 32000 32 269 32000 32 220 32000 32 172 16000 32 132 32000 64 318 32000 64 367 32000 64 489 64000 64 636 64000 128 1144 3000 0 38 3500 4 40 8000 65 92 16000 65 138 64 0 10 16000 0 35 2000 8 19 5000 0 28 2000 0 31 5000 142 120 6300 0 30 6200 0 33 6200 0 61 6200 0 76 6000 0 23 2000 4 69 6000 0 33 3000 4 27 5000 4 77 5000 4 27 2620 131 274 2620 131 368 10480 30 32 10480 30 63 20970 30 106 20970 30 208 2000 8 20 4000 8 29 8000 8 71 4000 8 26 8000 8 36 16000 8 40 16000 8 52 16000 8 60 12000 9 72 8000 9 72 512 8 18 5000 0 20 8000 4 40 8000 8 62 8000 0 24 2000 0 24 16000 16 138

54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107

DG ECLIPSE MV/4000 DG ECLIPSE MV/6000 DG ECLIPSE MV/8000 DG ECLIPSE MV/8000 II FORMATION F4000/100 FORMATION F4000/200 FORMATION F4000/200AP FORMATION F4000/300 FORMATION F4000/300AP FOUR PHASE 2000/260 GOULD CONCEPT 32/8705 GOULD CONCEPT 32/8750 GOULD CONCEPT 32/8780 HP 3000/30 HP 3000/40 HP 3000/44 HP 3000/48 HP 3000/64 HP 3000/88 HP 3000/III HARRIS 100 HARRIS 300 HARRIS 500 HARRIS 600 HARRIS 700 HARRIS 80 HARRIS 800 HONEYWELL DPS 6/35 HONEYWELL DPS 6/92 HONEYWELL DPS 6/96 HONEYWELL DPS 7/35 HONEYWELL DPS 7/45 HONEYWELL DPS 7/55 HONEYWELL DPS 7/65 HONEYWELL DPS 8/44 HONEYWELL DPS 8/49 HONEYWELL DPS 8/50 HONEYWELL DPS 8/52 HONEYWELL DPS 8/62 HONEYWELL DPS 8/20 IBM 3033 S IBM 3033 U IBM 3081 IBM 3081 D IBM 3083 B IBM 3083 E IBM 370/125-2 IBM 370/148 IBM 370/158-3 IBM 38/3 IBM 38/4 IBM 38/5 IBM 38/7 IBM 38/8

8000 4000 12000 8000 8000 8000 8000 8000 8000 1000 8000 16000 16000 1000 2000 4000 4000 8000 8000 2000 3000 3000 12000 4500 12000 768 12000 3000 4000 16000 2000 4000 4000 4000 4000 32000 8000 32000 32000 4000 16000 24000 32000 32000 32000 16000 512 2000 6000 1500 2000 2000 4000 8000

0 16 16 16 0 0 0 0 0 0 64 64 128 0 0 0 8 8 8 0 0 6 6 0 6 6 6 0 8 8 0 0 0 0 8 32 32 32 32 8 1 64 64 64 0 0 0 0 16 0 0 0 0 0

36 26 60 71 12 14 20 16 22 36 144 144 259 17 26 32 32 62 64 22 36 44 50 45 53 36 84 16 38 38 16 22 29 40 35 134 66 141 189 22 132 237 465 465 277 185 6 24 45 7 13 16 32 32

108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161

IBM 4321 IBM 4331-1 IBM 4331-11 IBM 4331-2 IBM 4341 IBM 4341-1 IBM 4341-10 IBM 4341-11 IBM 4341-12 IBM 4341-2 IBM 4341-9 IBM 4361-4 IBM 4361-5 IBM 4381-1 IBM 4381-2 IBM 8130 A IBM 8130 B IBM 8140 IPL 4436 IPL 4443 IPL 4445 IPL 4446 IPL 4460 IPL 4480 MAGNUSON M80/30 MAGNUSON M80/31 MAGNUSON M80/32 MAGNUSON M80/42 MAGNUSON M80/43 MAGNUSON M80/44 MICRODATA SEQ.MS/3200 NAS AS/3000 NAS AS/3000 N NAS AS/5000 NAS AS/5000 E NAS AS/5000 N NAS AS/6130 NAS AS/6150 NAS AS/6620 NAS AS/6630 NAS AS/6650 NAS AS/7000 NAS AS/7000 N NAS AS/8040 NAS AS/8050 NAS AS/8060 NAS AS/9000 DPC NAS AS/9000 N NAS AS/9040 NAS AS/9060 NCR V8535 II NCR V8545 II NCR V8555 II NCR V8565 II

1000 1000 4000 4000 4000 4000 4000 8000 16000 16000 4000 12000 12000 16000 16000 1000 2000 2000 4000 8000 8000 16000 16000 16000 8000 8000 8000 16000 16000 16000 4000 8000 4000 8000 8000 8000 16000 16000 16000 16000 16000 16000 8000 16000 32000 32000 32000 24000 32000 32000 1000 2000 4000 6000

0 0 4 8 0 8 8 8 16 16 2 8 16 8 32 0 0 0 0 8 8 24 24 48 0 24 24 12 24 24 0 16 2 32 32 4 16 32 64 64 64 64 16 32 64 64 128 32 64 256 0 0 0 0

11 11 18 22 37 40 34 50 76 66 24 49 66 100 133 12 18 20 27 45 56 70 80 136 16 26 32 45 54 65 30 50 40 62 60 50 66 86 74 93 110 143 105 214 277 370 510 214 326 510 8 12 17 21

162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209

NCR V8565 II E NCR V8575 II NCR V8585 II NCR V8595 II NCR V8635 NCR V8650 NCR V8635 NCR V8665 NCR V8670 NIXDORF 8890/30 NIXDORF 8890/50 NIXDORF 8890/70 PERKIN-ELMER 3205 PERKIN-ELMER 3210 PERKIN-ELMER 3230 PRIME 50-2250 PRIME 50-250 II PRIME 50-550 II PRIME 50-750 II PRIME 50-850 II SIEMENS 7.521 SIEMENS 7.531 SIEMENS 7.536 SIEMENS 7.541 SIEMENS 7.551 SIEMENS 7.561 SIEMENS 7.865-2 SIEMENS 7.870-2 SIEMENS 7.872-2 SIEMENS 7.875-2 SIEMENS 7.880-2 SIEMENS 7.881-2 SPERRY 1100/61 H1 SPERRY 1100/81 SPERRY 1100/82 SPERRY 1100/83 SPERRY 1100/84 SPERRY 1100/93 SPERRY 1100/94 SPERRY 80/3 SPERRY 80/4 SPERRY 80/5 SPERRY 80/6 SPERRY 80/8 SPERRY 90/80 MODEL 3 STRATUS 32 WANG VS10 WANG VS 90

8000 8000 12000 16000 8000 8000 16000 24000 16000 2000 4000 8000 4000 4000 16000 4000 2000 4000 8000 8000 1000 2000 4000 6000 8000 16000 12000 12000 16000 24000 32000 32000 8000 32000 32000 32000 32000 64000 64000 4000 4000 4000 4000 8000 8000 8000 8000 4000

0 24 0 34 0 42 0 46 32 51 32 116 64 100 160 140 128 212 0 25 0 30 64 41 0 25 0 50 1 50 2 30 2 32 8 38 16 60 32 109 8 6 8 11 8 22 16 33 16 58 32 130 8 75 32 113 64 188 32 173 64 248 128 405 32 70 24 114 48 208 112 307 112 397 96 915 128 1150 0 12 0 14 0 18 0 21 0 42 32 46 0 52 32 67 0 45