Does the rate of violent crime acts vary across different regions of the United States? Answer this with the data in the file P10_34.xlsx as requested below. Estimate an appropriate regression model to explain the variation in violent crime rate across the four given regions of the United States. Use Region 4 as the baseline for the regression model. Round your answers to two decimal places, if necessary. If your answer is negative number, enter "minus" sign. Violent Crime Rate = + Region1 + Region2 + Region3 Interpret the estimated equation. Modify the regression model in part a to account for possible differences in the violent crime rate across the various subdivisions of the given regions. Estimate your revised regression equation. Use Subdivision 9 as the baseline for the regression model. Round your answers to two decimal places, if necessary. If your answer is negative number, enter "minus" sign. Violent Crime Rate = + Subdivision1 + Subdivision2 + Subdivision3 + Subdivision4 + Subdivision5 + Subdivision6 + Subdivision7 + Subdivision8

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Author:Charles P. McKeague, Mark D. Turner
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Does the rate of violent crime acts vary across different regions of the United States? Answer this with the data in the file P10_34.xlsx as requested below.

  1. Estimate an appropriate regression model to explain the variation in violent crime rate across the four given regions of the United States. Use Region 4 as the baseline for the regression model. Round your answers to two decimal places, if necessary. If your answer is negative number, enter "minus" sign.

    Violent Crime Rate = + Region1 + Region2 + Region3

    Interpret the estimated equation.

  2. Modify the regression model in part a to account for possible differences in the violent crime rate across the various subdivisions of the given regions. Estimate your revised regression equation. Use Subdivision 9 as the baseline for the regression model. Round your answers to two decimal places, if necessary. If your answer is negative number, enter "minus" sign.

    Violent Crime Rate = + Subdivision1 + Subdivision2 + Subdivision3 + Subdivision4 + Subdivision5 + Subdivision6 + Subdivision7 + Subdivision8

Does the rate of violent crime acts vary across different regions of the United States? Answer this with the data in the file P10_34.xlsx as requested below.
a. Estimate an appropriate regression model to explain the variation in violent crime rate across the four given regions of the United States. Use Region 4 as
the baseline for the regression model. Round your answers to two decimal places, if necessary. If your answer is negative number, enter "minus" sign.
Region2 +
Violent Crime Rate =
Interpret the estimated equation.
The estimated model indicates that the predicted rate of violent crime is greatest in Region 3
Rank the four regions from highest to lowest according to their mean violent crime rate.
Region
1
2
3
+
4
4
3
1
2
Rank
+
+
Violent Crime Rate =
+
+
+
Could you have done this without regression? Explain.
as the coefficients could
I
Yes +
be simply calculated from sample means.
b. Modify the regression model in part a to account for possible differences in the violent crime rate across the various subdivisions of the given regions.
Estimate your revised regression equation. Use Subdivision 9 as the baseline for the regression model. Round your answers to two decimal places, if
necessary. If your answer is negative number, enter "minus" sign.
Subdivision5 +
Region1 +
+
+
Subdivision1 +
Subdivision6 +
Subdivision2 +
Region3
Subdivision7 +
and lowest in Region 1
Subdivision3 +
Subdivision8
Subdivision4
Transcribed Image Text:Does the rate of violent crime acts vary across different regions of the United States? Answer this with the data in the file P10_34.xlsx as requested below. a. Estimate an appropriate regression model to explain the variation in violent crime rate across the four given regions of the United States. Use Region 4 as the baseline for the regression model. Round your answers to two decimal places, if necessary. If your answer is negative number, enter "minus" sign. Region2 + Violent Crime Rate = Interpret the estimated equation. The estimated model indicates that the predicted rate of violent crime is greatest in Region 3 Rank the four regions from highest to lowest according to their mean violent crime rate. Region 1 2 3 + 4 4 3 1 2 Rank + + Violent Crime Rate = + + + Could you have done this without regression? Explain. as the coefficients could I Yes + be simply calculated from sample means. b. Modify the regression model in part a to account for possible differences in the violent crime rate across the various subdivisions of the given regions. Estimate your revised regression equation. Use Subdivision 9 as the baseline for the regression model. Round your answers to two decimal places, if necessary. If your answer is negative number, enter "minus" sign. Subdivision5 + Region1 + + + Subdivision1 + Subdivision6 + Subdivision2 + Region3 Subdivision7 + and lowest in Region 1 Subdivision3 + Subdivision8 Subdivision4
State
ME
NH
VT
ΜΑ
RI
CT
NY
NJ
PA
OH
IN
IL
MI
WI
MN
IA
MO
ND
SD
NE
KS
DE
MD
DC
VA
WV
NC
SC
GA
FL
KY
TN
AL
MS
AR
LA
OK
TX
MT
ID
WY
CO
NM
AZ
UT
NV
WA
OR
CA
AK
HI
Region
1
1
1
1
1
1
1
1
1
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
4
4
4
4
4
4
4
4 4 4 4 4
4
Subdivision
1
1
1
1
1
1
2
2
2
3
3
3
3
3
4
4
4
4
4
4
4
5
5
5
5
5
5
5
5
5
6
6
6
6
7
7
7
7
8
8
8
8
8
8
8
8
9
9
9
9
9
Violent Crime Rate
112
97
114
551
287
346
589
412
421
316
375
733
575
246
274
280
500
67
167
430
383
734
743
1,628
315
351
542
847
534
854
301
695
490
349
425
733
508
560
207
245
232
341
835
551
276
570
377
375
627
632
235
Transcribed Image Text:State ME NH VT ΜΑ RI CT NY NJ PA OH IN IL MI WI MN IA MO ND SD NE KS DE MD DC VA WV NC SC GA FL KY TN AL MS AR LA OK TX MT ID WY CO NM AZ UT NV WA OR CA AK HI Region 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 Subdivision 1 1 1 1 1 1 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 Violent Crime Rate 112 97 114 551 287 346 589 412 421 316 375 733 575 246 274 280 500 67 167 430 383 734 743 1,628 315 351 542 847 534 854 301 695 490 349 425 733 508 560 207 245 232 341 835 551 276 570 377 375 627 632 235
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