R Coefficients: Estimate Std. Error t value Pr(>ltl) 2.565876 0.804007 3.191 0.00180 ** 0.685822 0.057305 11.968 < 2e-16 *** 0.10205 -0.117126 0.071093 -1.648 -0.100838 0.040154 -2.511 0.01335 * 0.001111 0.003603 0.308 0.75833 -0.058083 0.033443 -1.737 0.08497 0.071733 0.026363 2.721 0.00747 ** 0.123811 0.243314 0.509 0.61178 -0.348097 0.120393 -2.891 0.00455 ** Signif. codes: 0 ***' 0.001 **' 0.01 * 0.05 .' 0.1'' 1 Residual standard error: 0.3945 on 121 degrees of freedom (7 observations deleted due to missingness) (Intercept) Inypcpenn In_gasprice In_annualprecip ffrents Inpop Inland incomegrouplow incomegroupmiddle Multiple R-squared: 0.8595, Adjusted R-squared: 0.8503 F-statistic: 92.55 on 8 and 121 DF, p-value: < 2.2e-16

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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Interpret the adjusted R squared of the regression.  

R R 4.1.1 ~
Coefficients:
(Intercept)
Inypcpenn
In_gasprice
In_annualprecip
ffrents
Inpop
Inland
incomegrouplow
incomegroupmiddle
Jobs X
Estimate Std. Error t value Pr(>ltl)
2.565876
0.804007
3.191 0.00180 **
0.685822
0.057305 11.968 < 2e-16 ***
0.10205
-0.117126
0.071093 -1.648
-0.100838
0.040154 -2.511 0.01335 *
0.001111
0.003603 0.308
0.75833
-0.058083 0.033443 -1.737
0.08497
0.071733 0.026363 2.721 0.00747 **
0.123811 0.243314 0.509 0.61178
-0.348097 0.120393 -2.891 0.00455 **
Signif. codes: 0 ***' 0.001 **' 0.01 * 0.05 '.' 0.1
(
Residual standard error: 0.3945 on 121 degrees of freedom
(7 observations deleted due to missingness)
Multiple R-squared: 0.8595, Adjusted R-squared: 0.8503
F-statistic: 92.55 on 8 and 121 DF, p-value: < 2.2e-16
'1
Transcribed Image Text:R R 4.1.1 ~ Coefficients: (Intercept) Inypcpenn In_gasprice In_annualprecip ffrents Inpop Inland incomegrouplow incomegroupmiddle Jobs X Estimate Std. Error t value Pr(>ltl) 2.565876 0.804007 3.191 0.00180 ** 0.685822 0.057305 11.968 < 2e-16 *** 0.10205 -0.117126 0.071093 -1.648 -0.100838 0.040154 -2.511 0.01335 * 0.001111 0.003603 0.308 0.75833 -0.058083 0.033443 -1.737 0.08497 0.071733 0.026363 2.721 0.00747 ** 0.123811 0.243314 0.509 0.61178 -0.348097 0.120393 -2.891 0.00455 ** Signif. codes: 0 ***' 0.001 **' 0.01 * 0.05 '.' 0.1 ( Residual standard error: 0.3945 on 121 degrees of freedom (7 observations deleted due to missingness) Multiple R-squared: 0.8595, Adjusted R-squared: 0.8503 F-statistic: 92.55 on 8 and 121 DF, p-value: < 2.2e-16 '1
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