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The table below displays the test-firing outcomes for 25 surface-to-air antiaircraft missiles targeting objects of varying speed. Each test outcome is classified as either a hit (y = 1) or a miss (y = 0).
(a) Employing a simple linear regression model for the linear predictor of a logistic regression model for the response variable y, apply this model to the dataset.
(b) Does the model deviance suggest that the logistic regression model derived from part (a) is satisfactory?
(c) Offer an interpretation of the parameter (the coefficient of x) in this model.
(d) Enhance the linear predictor by incorporating a quadratic term in target speed. Is there any indication that this quadratic term is essential in the model?
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