Analyze the regression below (n = 50 U.S. states) using the concepts you have le

Question

Analyze the regression below (n = 50 U.S. states) using the concepts you have learned about multiple regression. Make sure to include the regression equation, interpretations of each coefficient (along with a discussion of whether it makes sense), a discussion about goodness of fit, and a residual analysis. Make a prediction for Poverty for a state with Dropout = 15, TeenMom = 12, Unem = 4, and Age65% = 12 (show your work). The variables are Poverty = percentage below the poverty level; Dropout = percentage of adult population that did not finish high school; TeenMom = percentage of total births by teenage mothers; Unem = unemployment rate, civilian labor force; and Age65% = percentage of population aged 65 and over.

Regression Analysis 0.625 Adusted R 0.592 R 0.79 k 4 Std Error 2052 Dep Var ANOVA table 89 4874 42108 std error 53546 2.7200 00947 04238 0.1322 3207 1.1081 03722 03469 1092 200 12 61 -061 4,70 1549 0,79 380 12,13 167 8.30 8.09 7.10 7,72 040 11 67 240 1338 2.90 1,34 1099 390 11.76 2.14 990 670 1097 750 9.06 1.56 220 1090 2.10 13.90 9.20 15.93 3.2? 9,71 0.09 7.30 1004 808 362 9.70 10.20 720 792 1720 1153 007 MT 11,79 3 0.90 8.99 1.9 NH 7,70 7.25 0/45 9 07 15.18 5.52 2.79 NC 350 1260 0.90 ND 300 996 304 200 1162 0.38 2,70 12.16 0.54 260 11.76 0.84 940 11 B6 1240 13,16 10 8,76 1365 1.75 500 1351 5.70 6 B3 -1,13 9.70 1.98 790 793 950 1031 5.70 17 52 860 10.14 -1 54 0434 0044 0049 0D92 0087 0D65 0045 0068 0D67 ODAB 0D97 0097 0.107 0068 0079 0.164 0028 108329 00158 01576 00162 0875 0112 -0319 -0814 -0918 0447 1364 1900 -036 0962 40319 023 2829 1482 0A63 1534 0.19 0286 0426 1290 -0567 0997 -0016 18578 616 410 -410 410 -10 800 400 400 500 13 15 Noma Probabiliy Plot Residuals 10 10 Normal Score 20

Explanation / Answer

Answer:

a discussion about goodness of fit, and a residual analysis. Make a prediction for Poverty for a state with Dropout = 15, TeenMom = 12, Unem = 4, and Age65% = 12 (show your work). The variables are Poverty = percentage below the poverty level; Dropout = percentage of adult population that did not finish high school; TeenMom = percentage of total births by teenage mothers; Unem = unemployment rate, civilian labor force; and Age65% = percentage of population aged 65 and over.

The estimated regression line is

Poverty = -5.3546+0.2065* Dropout+0.4238* TeenMom+1.1081* Unem+0.3469* Age65%

When

prediction for Poverty for a state with Dropout = 15, TeenMom = 12, Unem = 4, and Age65% = 12,

predicted Poverty = -5.3546+0.2065* 15+0.4238* 12+1.1081* 4+0.3469* 12

=11.4237

Calculated R square =0.625

62.5% of variation in Poverty is explained by the mode.

The calculated F=18.74, P=0.000 which is less than 0.05 level.

The model is significant and useful.

The residual analysis shows that there is no violation of assumption of normality, equality of variance.

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