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Fit a binary logistic regression model with admission decision as the dependent variable, GRE and GPA...

Fit a binary logistic regression model with admission decision as the dependent variable, GRE and GPA as the independent variables.

  • Evaluate the goodness of fit of the model.
  • Determine the significance of independent variables.
  • Interpret odds ratios for independent variables.
  • State the binary logistic regression equation.
  • Evaluate the classification accuracy of the model.
  • Check if the residuals are independent.

Admit

GRE

GPA

0

790

1

1

370

0

1

480

1

1

580

1

1

620

1

0

740

0

1

490

0

0

720

0

1

740

0

0

460

1

1

610

0

1

260

0

0

740

0

1

700

0

0

760

0

1

410

1

0

700

0

0

800

0

0

680

0

0

520

0

0

700

0

1

580

1

1

470

0

1

440

1

1

410

0

1

460

0

1

580

1

1

480

0

0

590

1

0

800

0

0

750

0

1

800

0

0

570

0

1

440

0

0

300

0

0

600

0

0

740

0

0

800

0

1

270

1

1

200

1

1

580

0

0

590

0

1

330

1

1

600

1

0

510

0

1

650

1

1

570

1

0

570

0

0

440

0

1

610

0
math   Statistics-And-Probability   
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Answer #1

> datal-read. csv(Book1.csv > str (datal) data. frame: 50 obs. of 3 variables: $ Admit: int 0 1 1 1 1 010 10 $ GRE int 79

> odds ratio #The > 5 is 1.1227380-0.0011821GRE+0.2918729GPA eqn 1.1227380-0.0011821 datal SGRE+0.2918729 datal$GPA [1] 0.4

The above analysis done in R.

. Good Luck!!

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