Regress smoker on quadratic polynomials of age, using a probit regression. What is the maximum of the fitted (predicted) probabilities in the data? Report your answer (a value between 0 and 1) to two decimal places

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Regress smoker on quadratic polynomials of age, using a probit regression. What is the maximum of the fitted (predicted) probabilities in the data? Report your answer (a value between 0 and 1) to two decimal places.

Coefficients:
Estimate Std. Error z value Pr(>lzl)
(Intercept) -8.313e-01 1.316e-01
-6.318 2.65e-10 ***
age
1.110e-02 6.623e-03
1.675
0.0938
age2
-1.814e-04 7.875e-05
-2.303
0.0213 *
Signif. codes: 0
0 *** 0.001 (**' 0.01 *' 0.05
' 0.1 ,
(Dispersion parameter for binomial family taken to be 1)
Null deviance: 11074
on 9999
degrees of freedom
Residual deviance: 11057
on 9997 degrees of freedom
AIC: 11063
Transcribed Image Text:Coefficients: Estimate Std. Error z value Pr(>lzl) (Intercept) -8.313e-01 1.316e-01 -6.318 2.65e-10 *** age 1.110e-02 6.623e-03 1.675 0.0938 age2 -1.814e-04 7.875e-05 -2.303 0.0213 * Signif. codes: 0 0 *** 0.001 (**' 0.01 *' 0.05 ' 0.1 , (Dispersion parameter for binomial family taken to be 1) Null deviance: 11074 on 9999 degrees of freedom Residual deviance: 11057 on 9997 degrees of freedom AIC: 11063
Regress smoker on quadratic polynomials of age, using a probit regression. What is the maximum of the fitted
(predicted) probabilities in the data? Report your answer (a value between 0 and 1) to two decimal places.
Hint: In a regression of Yj on X¡ by a probit regression, the fitted probability at Xj is given as
Pr(Y,=1|X) = #Bo+BìX)
where
$(z)
is the CDF of N(0,1).
> help(glm) might also be useful.
Transcribed Image Text:Regress smoker on quadratic polynomials of age, using a probit regression. What is the maximum of the fitted (predicted) probabilities in the data? Report your answer (a value between 0 and 1) to two decimal places. Hint: In a regression of Yj on X¡ by a probit regression, the fitted probability at Xj is given as Pr(Y,=1|X) = #Bo+BìX) where $(z) is the CDF of N(0,1). > help(glm) might also be useful.
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