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(Requires StatTools) Run a regression of Y versus all of the X's for the data in columns A-I. Then use this equation to predict the

(Requires StatTools) Run a regression of Y versus all of the X's for the data in columns A-I. Then use this equation to predict the unknown Y for the X values above in columns L-S. Which of the following is true?

Click here to reference the data needed to answer the question.

a. Assuming normally distributed residuals, the probability that the prediction error for this single observation is no more than 2.57 is about 0.95.

b. The predicted value of Y is about 39.30.

c. Assuming normally distributed residuals, the probability that the prediction error for this single observation is no more than 0.64 is about 0.68.

d. None of these choices are true.

Y X1 X2 X3 X4 X5 X6 X7 X8 Y X1 X2 X3 X4 X5 X6 X7 X8

29 301 181 234 76 260 232 472 296 327 225 247 59 247 241 491 317

19 293 138 204 73 312 237 377 325

25 310 217 211 70 278 232 461 190

32 318 190 239 81 248 239 633 240

21 290 157 200 85 280 239 583 322

33 297 243 230 72 245 241 467 205

36 339 214 264 89 245 238 365 282

35 332 218 247 51 248 238 353 268

35 319 212 262 76 245 241 553 305

36 340 228 262 64 253 240 505 275

34 292 245 268 60 249 240 399 207

23 276 196 211 63 277 241 587 264

26 279 151 251 81 272 231 355 294

33 290 229 273 72 255 239 542 240

22 271 160 230 91 285 237 433 301

33 328 221 241 50 256 240 535 289

33 334 146 270 60 252 237 514 255

35 324 223 250 62 247 238 490 315

30 298 199 244 86 265 238 599 312

33 331 171 244 69 249 239 438 267

32 313 195 253 101 251 239 665 229

31 311 184 266 52 273 240 650 292

27 296 153 249 79 268 233 485 272

30 302 148 264 107 253 240 513 219

30 326 231 252 76 289 235 551 299

25 312 200 219 91 292 239 575 247

28 287 209 233 69 262 240 567 245

23 279 129 229 82 264 237 444 306

28 321 141 240 58 279 241 326 279

28 290 199 232 82 267 238 272 269

31 305 165 223 84 247 240 471 284

35 316 179 269 67 246 240 691 254

23 266 166 224 99 274 239 510 277

32 319 237 222 73 251 240 607 266

33 300 232 258 65 250 239 550 198

25 288 163 216 53 270 241 389 252

36 320 263 286 55 252 239 430 221

36 296 209 271 88 244 240 337 328

30 273 201 257 57 253 233 543 260

37 342 247 267 95 246 236 522 293

34 323 205 275 73 255 240 498 296

25 280 179 225 74 256 222 426 238

31 317 211 256 74 267 240 536 169

27 284 170 243 80 262 226 545 309

30 308 174 255 84 254 232 479 237

26 278 192 238 87 276 241 528 273

23 275 135 214 77 256 237 379 258

32 314 187 265 66 259 235 445 271

28 303 182 228 83 268 236 556 319

28 295 177 235 84 259 236 580 270

20 252 156 217 71 288 241 560 217

24 265 184 248 70 287 237 501 309

27 295 182 219 85 258 236 417 242

19 262 131 242 68 300 235 493 222

38 347 226 279 63 247 236 409 314

27 270 167 237 97 252 235 519 224

24 294 144 208 70 263 235 313 281

22 312 122 205 66 271 230 561 244

29 308 219 243 46 282 236 507 282

28 283 172 231 75 254 240 421 248

31 304 180 274 59 265 234 476 250

31 315 225 235 71 257 234 592 210

26 299 201 206 79 261 237 462 232

34 309 206 251 74 244 238 610 289

30 324 196 236 66 259 229 528 227

27 273 191 245 61 262 238 480 227

34 305 215 246 65 247 241 415 274

18 259 161 210 79 309 239 394 290

31 307 239 261 93 266 227 603 256

28 282 204 246 74 264 233 630 304

29 263 250 253 60 275 237 367 263

22 246 162 217 68 270 237 488 261

29 316 208 238 75 270 229 403 231

29 291 193 241 62 261 231 517 257

35 336 185 285 63 249 238 496 214

33 329 222 240 58 258 238 598 286

32 301 177 282 57 265 239 384 331

31 275 189 260 78 249 239 484 287

20 257 148 213 77 273 239 540 249

26 288 187 259 80 291 236 407 241

25 282 213 227 89 282 236 458 247

24 268 169 222 95 263 240 637 235

32 309 233 237 92 251 228 581 259

27 304 193 234 55 283 241 613 225

27 306 206 215 90 273 240 428 261

29 294 176 248 67 254 231 565 216

29 287 255 226 92 260 234 569 233

22 277 159 227 78 284 235 450 251

25 283 158 254 69 295 240 503 298

17 267 142 198 71 304 234 526 340

24 286 189 223 86 281 233 619 194

32 325 151 256 88 250 239 642 319

34 300 236 277 80 259 237 572 302

30 328 154 258 87 269 235 531 265

21 258 203 221 63 297 238 455 212

31 322 216 233 68 255 232 451 278

26 298 168 229 82 276 240 466 279

24 285 168 220 77 267 235 622 202

37 334 197 293 56 243 234 441 285

30 315 174 249 64 257 238 590 234

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Y	X1	X2	X3	X4	X5	X6	X7	X8	Y	X1	X2	X3	X4	X5	X6	X7	X8
29	301	181	234	76	260	232	472	296		327	225	247	59	247	241	491	317
19	293	138	204	73	312	237	377	325
25	310	217	211	70	278	232	461	190
32	318	190	239	81	248	239	633	240
21	290	157	200	85	280	239	583	322
33	297	243	230	72	245	241	467	205
36	339	214	264	89	245	238	365	282
35	332	218	247	51	248	238	353	268
35	319	212	262	76	245	241	553	305
36	340	228	262	64	253	240	505	275
34	292	245	268	60	249	240	399	207
23	276	196	211	63	277	241	587	264
26	279	151	251	81	272	231	355	294
33	290	229	273	72	255	239	542	240
22	271	160	230	91	285	237	433	301
33	328	221	241	50	256	240	535	289
33	334	146	270	60	252	237	514	255
35	324	223	250	62	247	238	490	315
30	298	199	244	86	265	238	599	312
33	331	171	244	69	249	239	438	267
32	313	195	253	101	251	239	665	229
31	311	184	266	52	273	240	650	292
27	296	153	249	79	268	233	485	272
30	302	148	264	107	253	240	513	219
30	326	231	252	76	289	235	551	299
25	312	200	219	91	292	239	575	247
28	287	209	233	69	262	240	567	245
23	279	129	229	82	264	237	444	306
28	321	141	240	58	279	241	326	279
28	290	199	232	82	267	238	272	269
31	305	165	223	84	247	240	471	284
35	316	179	269	67	246	240	691	254
23	266	166	224	99	274	239	510	277
32	319	237	222	73	251	240	607	266
33	300	232	258	65	250	239	550	198
25	288	163	216	53	270	241	389	252
36	320	263	286	55	252	239	430	221
36	296	209	271	88	244	240	337	328
30	273	201	257	57	253	233	543	260
37	342	247	267	95	246	236	522	293
34	323	205	275	73	255	240	498	296
25	280	179	225	74	256	222	426	238
31	317	211	256	74	267	240	536	169
27	284	170	243	80	262	226	545	309
30	308	174	255	84	254	232	479	237
26	278	192	238	87	276	241	528	273
23	275	135	214	77	256	237	379	258
32	314	187	265	66	259	235	445	271
28	303	182	228	83	268	236	556	319
28	295	177	235	84	259	236	580	270
20	252	156	217	71	288	241	560	217
24	265	184	248	70	287	237	501	309
27	295	182	219	85	258	236	417	242
19	262	131	242	68	300	235	493	222
38	347	226	279	63	247	236	409	314
27	270	167	237	97	252	235	519	224
24	294	144	208	70	263	235	313	281
22	312	122	205	66	271	230	561	244
29	308	219	243	46	282	236	507	282
28	283	172	231	75	254	240	421	248
31	304	180	274	59	265	234	476	250
31	315	225	235	71	257	234	592	210
26	299	201	206	79	261	237	462	232
34	309	206	251	74	244	238	610	289
30	324	196	236	66	259	229	528	227
27	273	191	245	61	262	238	480	227
34	305	215	246	65	247	241	415	274
18	259	161	210	79	309	239	394	290
31	307	239	261	93	266	227	603	256
28	282	204	246	74	264	233	630	304
29	263	250	253	60	275	237	367	263
22	246	162	217	68	270	237	488	261
29	316	208	238	75	270	229	403	231
29	291	193	241	62	261	231	517	257
35	336	185	285	63	249	238	496	214
33	329	222	240	58	258	238	598	286
32	301	177	282	57	265	239	384	331
31	275	189	260	78	249	239	484	287
20	257	148	213	77	273	239	540	249
26	288	187	259	80	291	236	407	241
25	282	213	227	89	282	236	458	247
24	268	169	222	95	263	240	637	235
32	309	233	237	92	251	228	581	259
27	304	193	234	55	283	241	613	225
27	306	206	215	90	273	240	428	261
29	294	176	248	67	254	231	565	216
29	287	255	226	92	260	234	569	233
22	277	159	227	78	284	235	450	251
25	283	158	254	69	295	240	503	298
17	267	142	198	71	304	234	526	340
24	286	189	223	86	281	233	619	194
32	325	151	256	88	250	239	642	319
34	300	236	277	80	259	237	572	302
30	328	154	258	87	269	235	531	265
21	258	203	221	63	297	238	455	212
31	322	216	233	68	255	232	451	278
26	298	168	229	82	276	240	466	279
24	285	168	220	77	267	235	622	202
37	334	197	293	56	243	234	441	285
30	315	174	249	64	257	238	590	234

Y	X1	X2	X3	X4	X5	X6	X7	X8	Y	X1	X2	X3	X4	X5	X6	X7	X8
29	301	181	234	76	260	232	472	296		327	225	247	59	247	241	491	317
19	293	138	204	73	312	237	377	325
25	310	217	211	70	278	232	461	190
32	318	190	239	81	248	239	633	240
21	290	157	200	85	280	239	583	322
33	297	243	230	72	245	241	467	205
36	339	214	264	89	245	238	365	282
35	332	218	247	51	248	238	353	268
35	319	212	262	76	245	241	553	305
36	340	228	262	64	253	240	505	275
34	292	245	268	60	249	240	399	207
23	276	196	211	63	277	241	587	264
26	279	151	251	81	272	231	355	294
33	290	229	273	72	255	239	542	240
22	271	160	230	91	285	237	433	301
33	328	221	241	50	256	240	535	289
33	334	146	270	60	252	237	514	255
35	324	223	250	62	247	238	490	315
30	298	199	244	86	265	238	599	312
33	331	171	244	69	249	239	438	267
32	313	195	253	101	251	239	665	229
31	311	184	266	52	273	240	650	292
27	296	153	249	79	268	233	485	272
30	302	148	264	107	253	240	513	219
30	326	231	252	76	289	235	551	299
25	312	200	219	91	292	239	575	247
28	287	209	233	69	262	240	567	245
23	279	129	229	82	264	237	444	306
28	321	141	240	58	279	241	326	279
28	290	199	232	82	267	238	272	269
31	305	165	223	84	247	240	471	284
35	316	179	269	67	246	240	691	254
23	266	166	224	99	274	239	510	277
32	319	237	222	73	251	240	607	266
33	300	232	258	65	250	239	550	198
25	288	163	216	53	270	241	389	252
36	320	263	286	55	252	239	430	221
36	296	209	271	88	244	240	337	328
30	273	201	257	57	253	233	543	260
37	342	247	267	95	246	236	522	293
34	323	205	275	73	255	240	498	296
25	280	179	225	74	256	222	426	238
31	317	211	256	74	267	240	536	169
27	284	170	243	80	262	226	545	309
30	308	174	255	84	254	232	479	237
26	278	192	238	87	276	241	528	273
23	275	135	214	77	256	237	379	258
32	314	187	265	66	259	235	445	271
28	303	182	228	83	268	236	556	319
28	295	177	235	84	259	236	580	270
20	252	156	217	71	288	241	560	217
24	265	184	248	70	287	237	501	309
27	295	182	219	85	258	236	417	242
19	262	131	242	68	300	235	493	222
38	347	226	279	63	247	236	409	314
27	270	167	237	97	252	235	519	224
24	294	144	208	70	263	235	313	281
22	312	122	205	66	271	230	561	244
29	308	219	243	46	282	236	507	282
28	283	172	231	75	254	240	421	248
31	304	180	274	59	265	234	476	250
31	315	225	235	71	257	234	592	210
26	299	201	206	79	261	237	462	232
34	309	206	251	74	244	238	610	289
30	324	196	236	66	259	229	528	227
27	273	191	245	61	262	238	480	227
34	305	215	246	65	247	241	415	274
18	259	161	210	79	309	239	394	290
31	307	239	261	93	266	227	603	256
28	282	204	246	74	264	233	630	304
29	263	250	253	60	275	237	367	263
22	246	162	217	68	270	237	488	261
29	316	208	238	75	270	229	403	231
29	291	193	241	62	261	231	517	257
35	336	185	285	63	249	238	496	214
33	329	222	240	58	258	238	598	286
32	301	177	282	57	265	239	384	331
31	275	189	260	78	249	239	484	287
20	257	148	213	77	273	239	540	249
26	288	187	259	80	291	236	407	241
25	282	213	227	89	282	236	458	247
24	268	169	222	95	263	240	637	235
32	309	233	237	92	251	228	581	259
27	304	193	234	55	283	241	613	225
27	306	206	215	90	273	240	428	261
29	294	176	248	67	254	231	565	216
29	287	255	226	92	260	234	569	233
22	277	159	227	78	284	235	450	251
25	283	158	254	69	295	240	503	298
17	267	142	198	71	304	234	526	340
24	286	189	223	86	281	233	619	194
32	325	151	256	88	250	239	642	319
34	300	236	277	80	259	237	572	302
30	328	154	258	87	269	235	531	265
21	258	203	221	63	297	238	455	212
31	322	216	233	68	255	232	451	278
26	298	168	229	82	276	240	466	279
24	285	168	220	77	267	235	622	202
37	334	197	293	56	243	234	441	285
30	315	174	249	64	257	238	590	234

Y	X1	X2	X3	X4	X5	X6	X7	X8	Y	X1	X2	X3	X4	X5	X6	X7	X8
29	301	181	234	76	260	232	472	296		327	225	247	59	247	241	491	317
19	293	138	204	73	312	237	377	325
25	310	217	211	70	278	232	461	190
32	318	190	239	81	248	239	633	240
21	290	157	200	85	280	239	583	322
33	297	243	230	72	245	241	467	205
36	339	214	264	89	245	238	365	282
35	332	218	247	51	248	238	353	268
35	319	212	262	76	245	241	553	305
36	340	228	262	64	253	240	505	275
34	292	245	268	60	249	240	399	207
23	276	196	211	63	277	241	587	264
26	279	151	251	81	272	231	355	294
33	290	229	273	72	255	239	542	240
22	271	160	230	91	285	237	433	301
33	328	221	241	50	256	240	535	289
33	334	146	270	60	252	237	514	255
35	324	223	250	62	247	238	490	315
30	298	199	244	86	265	238	599	312
33	331	171	244	69	249	239	438	267
32	313	195	253	101	251	239	665	229
31	311	184	266	52	273	240	650	292
27	296	153	249	79	268	233	485	272
30	302	148	264	107	253	240	513	219
30	326	231	252	76	289	235	551	299
25	312	200	219	91	292	239	575	247
28	287	209	233	69	262	240	567	245
23	279	129	229	82	264	237	444	306
28	321	141	240	58	279	241	326	279
28	290	199	232	82	267	238	272	269
31	305	165	223	84	247	240	471	284
35	316	179	269	67	246	240	691	254
23	266	166	224	99	274	239	510	277
32	319	237	222	73	251	240	607	266
33	300	232	258	65	250	239	550	198
25	288	163	216	53	270	241	389	252
36	320	263	286	55	252	239	430	221
36	296	209	271	88	244	240	337	328
30	273	201	257	57	253	233	543	260
37	342	247	267	95	246	236	522	293
34	323	205	275	73	255	240	498	296
25	280	179	225	74	256	222	426	238
31	317	211	256	74	267	240	536	169
27	284	170	243	80	262	226	545	309
30	308	174	255	84	254	232	479	237
26	278	192	238	87	276	241	528	273
23	275	135	214	77	256	237	379	258
32	314	187	265	66	259	235	445	271
28	303	182	228	83	268	236	556	319
28	295	177	235	84	259	236	580	270
20	252	156	217	71	288	241	560	217
24	265	184	248	70	287	237	501	309
27	295	182	219	85	258	236	417	242
19	262	131	242	68	300	235	493	222
38	347	226	279	63	247	236	409	314
27	270	167	237	97	252	235	519	224
24	294	144	208	70	263	235	313	281
22	312	122	205	66	271	230	561	244
29	308	219	243	46	282	236	507	282
28	283	172	231	75	254	240	421	248
31	304	180	274	59	265	234	476	250
31	315	225	235	71	257	234	592	210
26	299	201	206	79	261	237	462	232
34	309	206	251	74	244	238	610	289
30	324	196	236	66	259	229	528	227
27	273	191	245	61	262	238	480	227
34	305	215	246	65	247	241	415	274
18	259	161	210	79	309	239	394	290
31	307	239	261	93	266	227	603	256
28	282	204	246	74	264	233	630	304
29	263	250	253	60	275	237	367	263
22	246	162	217	68	270	237	488	261
29	316	208	238	75	270	229	403	231
29	291	193	241	62	261	231	517	257
35	336	185	285	63	249	238	496	214
33	329	222	240	58	258	238	598	286
32	301	177	282	57	265	239	384	331
31	275	189	260	78	249	239	484	287
20	257	148	213	77	273	239	540	249
26	288	187	259	80	291	236	407	241
25	282	213	227	89	282	236	458	247
24	268	169	222	95	263	240	637	235
32	309	233	237	92	251	228	581	259
27	304	193	234	55	283	241	613	225
27	306	206	215	90	273	240	428	261
29	294	176	248	67	254	231	565	216
29	287	255	226	92	260	234	569	233
22	277	159	227	78	284	235	450	251
25	283	158	254	69	295	240	503	298
17	267	142	198	71	304	234	526	340
24	286	189	223	86	281	233	619	194
32	325	151	256	88	250	239	642	319
34	300	236	277	80	259	237	572	302
30	328	154	258	87	269	235	531	265
21	258	203	221	63	297	238	455	212
31	322	216	233	68	255	232	451	278
26	298	168	229	82	276	240	466	279
24	285	168	220	77	267	235	622	202
37	334	197	293	56	243	234	441	285
30	315	174	249	64	257	238	590	234