15) Researchers created a risk index for high school dropout. The index aggregated a number of factors and produces a ri

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15 Researchers Created A Risk Index For High School Dropout The Index Aggregated A Number Of Factors And Produces A Ri 1 (142.51 KiB) Viewed 20 times

15) Researchers created a risk index for high school dropout. The index aggregated a number of factors and produces a risk score that ranges from about 200 to 300. The score is then used in a logistic regression to predict whether or not the student graduated (0 = no, 1 = yes). The summary output is below: graduated ~ risk score, family = "binomial", data alm (formula = = dropout) Coefficients: Estimate Std. Error z value De (> 121) (Intercept) -17.89492 4.64352 -3.854 0.000116 *** risk score 0.07670 0.01939 3.956 7.62e-05 *** Signif. codes: 0 *** 0.001 *** 0.01 1*' 0.05 '.' 0.1 / 1 (Dispersion parameter for binomial family taken to be 1) Null deviance: 110.904 Residual deviance: 72.098 AIC: 76.098 on 79 on 78 degrees of freedom degrees of freedom a) Interpret the coefficient for risk score. b) What is the predicted probability that someone will graduate with a risk score of 280? c) At what risk score does a student have only a 60% predicted probability of graduating? d) How do the odds of graduating change for every 10 points on the risk score scale?