Insurance (Life Expectancy). Insurance companies base their premiums on many factors, but basically all the factors are variables that predict life expectancy. Life expectancy varies from place to place. The following variables are from a data set on various measures obtained from the 50 US states (around 2009) Murder: rate per 100,000 HS Graduation: recorded as a percentage Income: per capita income in dollars Illiteracy: rate per 1,000 Life Expectancy: recorded in years 2008 Electoral vote state color: red / blue State electoral vote color coded: red = 1 / blue = 0 Multiple linear regression results: See Attachments please Write the multiple linear regression equation, use this equation to predict the Life expectancy for Pennsylvania and calculate the residual. Data: State Name Life Expectancy Murder HS Grad Income Illiteracy ColorCode Color Alabama 69.05 15.1 41.3 3624 2.1 1 red Alaska 69.31 11.3 66.7 6315 1.5 1 red Arizona 70.55 7.8 58.1 4530 1.8 1 red Arkansas 70.66 10.1 39.9 3378 1.9 1 red California 71.71 10.3 62.6 5114 1.1 0 blue Colorado 72.06 6.8 63.9 4884 0.7 0 blue Connecticut 72.48 3.1 56 5348 1.1 0 blue Delaware 70.06 6.2 54.6 4809 0.9 0 blue Florida 70.66 10.7 52.6 4815 1.3 0 blue Georgia 68.54 13.9 40.6 4091 2 1 red Hawaii 73.6 6.2 61.9 4963 1.9 0 blue Idaho 71.87 5.3 59.5 4119 0.6 1 red Illinois 70.14 10.3 52.6 5107 0.9 0 blue Indiana 70.88 7.1 52.9 4458 0.7 1 red Iowa 72.56 2.3 59 4628 0.5 0 blue Kansas 72.58 4.5 59.9 4669 0.6 1 red Kentucky 70.1 10.6 38.5 3712 1.6 1 red Louisiana 68.76 13.2 42.2 3545 2.8 1 red Maine 70.39 2.7 54.7 3694 0.7 0 blue Maryland 70.22 8.5 52.3 5299 0.9 0 blue Massachusetts 71.83 3.3 58.5 4755 1.1 0 blue Michigan 70.63 11.1 52.8 4751 0.9 0 blue Minnesota 72.96 2.3 57.6 4675 0.6 0 blue Mississippi 68.09 12.5 41 3098 2.4 1 red Missouri 70.69 9.3 48.8 4254 0.8 1 red Montana 70.56 5 59.2 4347 0.6 1 red Nebraska 72.6 2.9 59.3 4508 0.6 1 red Nevada 69.03 11.5 65.2 5149 0.5 0 blue NewHampshire 71.23 3.3 57.6 4281 0.7 0 blue NewJersey 70.93 5.2 52.5 5237 1.1 0 blue NewMexico 70.32 9.7 55.2 3601 2.2 0 blue NewYork 70.55 10.9 52.7 4903 1.4 0 blue NorthCarolina 69.21 11.1 38.5 3875 1.8 1 red NorthDakota 72.78 1.4 50.3 5087 0.8 1 red Ohio 70.82 7.4 53.2 4561 0.8 0 blue Oklahoma 71.42 6.4 51.6 3983 1.1 1 red Oregon 72.13 4.2 60 4660 0.6 0 blue Pennsylvania 70.43 6.1 50.2 4449 1 0 blue RhodeIsland 71.9 2.4 46.4 4558 1.3 0 blue SouthCarolina 67.96 11.6 37.8 3635 2.3 1 red SouthDakota 72.08 1.7 53.3 4167 0.5 1 red Tennessee 70.11 11 41.8 3821 1.7 1 red Texas 70.9 12.2 47.4 4188 2.2 1 red Utah 72.9 4.5 67.3 4022 0.6 1 red Vermont 71.64 5.5 57.1 3907 0.6 0 blue Virginia 70.08 9.5 47.8 4701 1.4 0 blue Washington 71.72 4.3 63.5 4864 0.6 0 blue WestVirginia 69.48 6.7 41.6 3617 1.4 1 red Wisconsin 72.48 3 54.5 4468 0.7 0 blue Wyoming 70.29 6.9 62.9 4566 0.6 1 red

Insurance (Life Expectancy). Insurance companies base their premiums on many factors, but basically all the factors are variables that predict life expectancy. Life expectancy varies from place to place. The following variables are from a data set on various measures obtained from the 50 US states (around 2009) Murder: rate per 100,000 HS Graduation: recorded as a percentage Income: per capita income in dollars Illiteracy: rate per 1,000 Life Expectancy: recorded in years 2008 Electoral vote state color: red / blue State electoral vote color coded: red = 1 / blue = 0 Multiple linear regression results: See Attachments please Write the multiple linear regression equation, use this equation to predict the Life expectancy for Pennsylvania and calculate the residual. Data: State Name Life Expectancy Murder HS Grad Income Illiteracy ColorCode Color Alabama 69.05 15.1 41.3 3624 2.1 1 red Alaska 69.31 11.3 66.7 6315 1.5 1 red Arizona 70.55 7.8 58.1 4530 1.8 1 red Arkansas 70.66 10.1 39.9 3378 1.9 1 red California 71.71 10.3 62.6 5114 1.1 0 blue Colorado 72.06 6.8 63.9 4884 0.7 0 blue Connecticut 72.48 3.1 56 5348 1.1 0 blue Delaware 70.06 6.2 54.6 4809 0.9 0 blue Florida 70.66 10.7 52.6 4815 1.3 0 blue Georgia 68.54 13.9 40.6 4091 2 1 red Hawaii 73.6 6.2 61.9 4963 1.9 0 blue Idaho 71.87 5.3 59.5 4119 0.6 1 red Illinois 70.14 10.3 52.6 5107 0.9 0 blue Indiana 70.88 7.1 52.9 4458 0.7 1 red Iowa 72.56 2.3 59 4628 0.5 0 blue Kansas 72.58 4.5 59.9 4669 0.6 1 red Kentucky 70.1 10.6 38.5 3712 1.6 1 red Louisiana 68.76 13.2 42.2 3545 2.8 1 red Maine 70.39 2.7 54.7 3694 0.7 0 blue Maryland 70.22 8.5 52.3 5299 0.9 0 blue Massachusetts 71.83 3.3 58.5 4755 1.1 0 blue Michigan 70.63 11.1 52.8 4751 0.9 0 blue Minnesota 72.96 2.3 57.6 4675 0.6 0 blue Mississippi 68.09 12.5 41 3098 2.4 1 red Missouri 70.69 9.3 48.8 4254 0.8 1 red Montana 70.56 5 59.2 4347 0.6 1 red Nebraska 72.6 2.9 59.3 4508 0.6 1 red Nevada 69.03 11.5 65.2 5149 0.5 0 blue NewHampshire 71.23 3.3 57.6 4281 0.7 0 blue NewJersey 70.93 5.2 52.5 5237 1.1 0 blue NewMexico 70.32 9.7 55.2 3601 2.2 0 blue NewYork 70.55 10.9 52.7 4903 1.4 0 blue NorthCarolina 69.21 11.1 38.5 3875 1.8 1 red NorthDakota 72.78 1.4 50.3 5087 0.8 1 red Ohio 70.82 7.4 53.2 4561 0.8 0 blue Oklahoma 71.42 6.4 51.6 3983 1.1 1 red Oregon 72.13 4.2 60 4660 0.6 0 blue Pennsylvania 70.43 6.1 50.2 4449 1 0 blue RhodeIsland 71.9 2.4 46.4 4558 1.3 0 blue SouthCarolina 67.96 11.6 37.8 3635 2.3 1 red SouthDakota 72.08 1.7 53.3 4167 0.5 1 red Tennessee 70.11 11 41.8 3821 1.7 1 red Texas 70.9 12.2 47.4 4188 2.2 1 red Utah 72.9 4.5 67.3 4022 0.6 1 red Vermont 71.64 5.5 57.1 3907 0.6 0 blue Virginia 70.08 9.5 47.8 4701 1.4 0 blue Washington 71.72 4.3 63.5 4864 0.6 0 blue WestVirginia 69.48 6.7 41.6 3617 1.4 1 red Wisconsin 72.48 3 54.5 4468 0.7 0 blue Wyoming 70.29 6.9 62.9 4566 0.6 1 red

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 44SGR

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Insurance (Life Expectancy). Insurance companies base their premiums on many factors, but basically all the factors are variables that predict life expectancy. Life expectancy varies from place to place. The following variables are from a data set on various measures obtained from the 50 US states (around 2009)

Murder: rate per 100,000

HS Graduation: recorded as a percentage

Income: per capita income in dollars

Illiteracy: rate per 1,000

Life Expectancy: recorded in years

2008 Electoral vote state color: red / blue

State electoral vote color coded: red = 1 / blue = 0

Multiple linear regression results: See Attachments please

Write the multiple linear regression equation, use this equation to predict the Life expectancy for Pennsylvania and calculate the residual.

Data:

State Name	Life Expectancy	Murder	HS Grad	Income	Illiteracy	ColorCode	Color
Alabama	69.05	15.1	41.3	3624	2.1	1	red
Alaska	69.31	11.3	66.7	6315	1.5	1	red
Arizona	70.55	7.8	58.1	4530	1.8	1	red
Arkansas	70.66	10.1	39.9	3378	1.9	1	red
California	71.71	10.3	62.6	5114	1.1	0	blue
Colorado	72.06	6.8	63.9	4884	0.7	0	blue
Connecticut	72.48	3.1	56	5348	1.1	0	blue
Delaware	70.06	6.2	54.6	4809	0.9	0	blue
Florida	70.66	10.7	52.6	4815	1.3	0	blue
Georgia	68.54	13.9	40.6	4091	2	1	red
Hawaii	73.6	6.2	61.9	4963	1.9	0	blue
Idaho	71.87	5.3	59.5	4119	0.6	1	red
Illinois	70.14	10.3	52.6	5107	0.9	0	blue
Indiana	70.88	7.1	52.9	4458	0.7	1	red
Iowa	72.56	2.3	59	4628	0.5	0	blue
Kansas	72.58	4.5	59.9	4669	0.6	1	red
Kentucky	70.1	10.6	38.5	3712	1.6	1	red
Louisiana	68.76	13.2	42.2	3545	2.8	1	red
Maine	70.39	2.7	54.7	3694	0.7	0	blue
Maryland	70.22	8.5	52.3	5299	0.9	0	blue
Massachusetts	71.83	3.3	58.5	4755	1.1	0	blue
Michigan	70.63	11.1	52.8	4751	0.9	0	blue
Minnesota	72.96	2.3	57.6	4675	0.6	0	blue
Mississippi	68.09	12.5	41	3098	2.4	1	red
Missouri	70.69	9.3	48.8	4254	0.8	1	red
Montana	70.56	5	59.2	4347	0.6	1	red
Nebraska	72.6	2.9	59.3	4508	0.6	1	red
Nevada	69.03	11.5	65.2	5149	0.5	0	blue
NewHampshire	71.23	3.3	57.6	4281	0.7	0	blue
NewJersey	70.93	5.2	52.5	5237	1.1	0	blue
NewMexico	70.32	9.7	55.2	3601	2.2	0	blue
NewYork	70.55	10.9	52.7	4903	1.4	0	blue
NorthCarolina	69.21	11.1	38.5	3875	1.8	1	red
NorthDakota	72.78	1.4	50.3	5087	0.8	1	red
Ohio	70.82	7.4	53.2	4561	0.8	0	blue
Oklahoma	71.42	6.4	51.6	3983	1.1	1	red
Oregon	72.13	4.2	60	4660	0.6	0	blue
Pennsylvania	70.43	6.1	50.2	4449	1	0	blue
RhodeIsland	71.9	2.4	46.4	4558	1.3	0	blue
SouthCarolina	67.96	11.6	37.8	3635	2.3	1	red
SouthDakota	72.08	1.7	53.3	4167	0.5	1	red
Tennessee	70.11	11	41.8	3821	1.7	1	red
Texas	70.9	12.2	47.4	4188	2.2	1	red
Utah	72.9	4.5	67.3	4022	0.6	1	red
Vermont	71.64	5.5	57.1	3907	0.6	0	blue
Virginia	70.08	9.5	47.8	4701	1.4	0	blue
Washington	71.72	4.3	63.5	4864	0.6	0	blue
WestVirginia	69.48	6.7	41.6	3617	1.4	1	red
Wisconsin	72.48	3	54.5	4468	0.7	0	blue
Wyoming	70.29	6.9	62.9	4566	0.6	1	red

Multiple linear regression results without using State color:
Stepwise results:
P-value to enter: 0.15
P-value to leave: 0.25
Variable
Murder
HS Grad
Step
P-value
R-squared
R-squared (adj)
Action
RMSE
Entered
Entered
1
<0.0001
0.8473
0.6097
0.6016
2
0.0091
0.7959
0.6628
0.6485
Parameter estimates:
Parameter
Estimate
Std. Err.
Alternative
DF
T-Stat
P-Value
Intercept
70.297
1.016
47
69.212668
<0.0001
Murder
-0.237
0.035
47
-6.7192441
<0.0001
HS Grad
0.044
0.016
47
2.7213744
0.0091
Summary of fit:
Root MSE: 0.7959
R-squared: 0.6628
R-squared (adjusted): 0.6485

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