Question

In: Statistics and Probability

Use Minitab Data shows graduate program admission decisions (Yes: 1 and No: 2), GRE score and...

Use Minitab

Data shows graduate program admission decisions (Yes: 1 and No: 2), GRE score and undergraduate GPA for twenty-five students.

Tasks:

Examine if the given data is suitable for the application of linear discriminant analysis.

Create a linear discriminant function predicting admission decisions.

Comment on the classification accuracy.

Predict the admission decision given GRE score = 690 and GPA = 3.2.

Perform logistic regression analysis for the data.

Compare the classification accuracies of both methods.

Admit GRE GPA
2 790 3.8
1 370 3.4
2 480 2.9
1 580 3.3
1 620 3.9
1 740 3.2
2 490 3.1
2 720 3.7
1 740 3.9
2 460 3.4
1 610 3.3
1 260 2.5
2 740 4
1 700 3.6
1 760 3.5
1 410 2.8
1 700 4
1 800 3.4
2 680 2.9
2 520 3.2
1 700 3.5
1 580 3.3
2 470 3.9
1 640 3.8
2 410 3.8

Solutions

Expert Solution


Related Solutions

Data shows graduate program admission decisions (Yes: 1 and No: 2), GRE score and undergraduate GPA...
Data shows graduate program admission decisions (Yes: 1 and No: 2), GRE score and undergraduate GPA for twenty-five students. Tasks: Examine if the given data is suitable for the application of linear discriminant analysis. Create a linear discriminant function predicting admission decisions. Comment on the classification accuracy. Predict the admission decision given GRE score = 690 and GPA = 3.2. Perform logistic regression analysis for the data. Compare the classification accuracies of both methods. Admit GRE GPA 2 790 3.8...
The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools....
The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students’ scores on the quantitative portion of the GRE follow a normal distribution. (Source: http://www.ets.org/.) Suppose a random sample of 10 students took the test, and their scores are given below. 152, 126, 146, 149, 152, 164, 139, 134, 145, 136 a) Test the claim that the mean verbal reasoning score is different from 150 at the α = 0.10 level of significance.
The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools....
The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students' scores on the quantitative portion of the GRE follow a normal distribution with standard deviation 8.8. Suppose a random sample of 10 students took the test, and their scores are given below. 152, 126, 146, 149, 152, 164, 139, 134, 145, 136 a. Are the criteria for approximate normality satisfied? Why? b. Calculate the sample mean, x with bar on top. Round your...
4. The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate...
4. The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students’ scores on the quantitative portion of the GRE follow a normal distribution. (Source: http://www.ets.org/.) Suppose a random sample of 10 students took the test, and their scores are given below. 152, 126, 146, 149, 152, 164, 139, 134, 145, 136 a) Test the claim that the mean verbal reasoning score is different from 150 at the α = 0.10 level of significance....
3. The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate...
3. The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students’ scores on the quantitative portion of the GRE follow a normal. (Source: http://www.ets.org/.) Suppose a random sample of 10 students took the test. 152, 126, 146, 149, 152, 164, 139, 134, 145, 136 A normal probability plot verifies that the data are normally distributed. a) Determine the sample standard deviation. b) Construct a 95% confidence interval for the population standard deviation. Interpret...
The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools....
The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students' scores on the quantitative portion of the GRE follow a normal distribution with mean 150 and standard deviation 8.8. In addition to other qualifications, a score of at least 165 is required for admission to a particular graduate school. A) Describe how you would shade the region under the normal curve that represents test takers who scored above 165 in the quantitative portion...
(4 pts) The Graduate Record Examination (GRE) is a test required for admission to many U.S....
(4 pts) The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students' scores on the quantitative portion of the GRE follow a normal distribution with mean 150 and standard deviation 8.8. In addition to other qualifications, a score of at least 160 is required for admission to a particular graduate school. Suppose n = 16 randomly selected students take the GRE on the same day. Describe the sampling distribution of the sample mean...
1. The Graduate Management Admission Test (GMAT) is a test required for admission into many masters...
1. The Graduate Management Admission Test (GMAT) is a test required for admission into many masters of business administration (MBA) programs. Suppose a random sample of 8 students took the test, and their scores are given below. 699, 560, 414, 570, 521, 663, 727, 413 -Find a point estimate of the population mean -Construct and interpret a 95% confidence interval for the true mean score for the population. -How many students should be surveyed to estimate the mean score within...
1. The Graduate Management Admission Test (GMAT) is a test required for admission into many masters...
1. The Graduate Management Admission Test (GMAT) is a test required for admission into many masters of business administration (MBA) programs. Total scores on the GMAT are normally distributed and historically had a population standard deviation of 113. The Graduate Management Admission Council (GMAC), who administers the test, claims that the mean total score is 529. Suppose a random sample of 8 students took the test and their scores are given below: 699, 560, 414, 570, 521, 663, 727, 413...
You are given the following data, where X1 (GRE total score) and X2 (undergraduate GPA) are...
You are given the following data, where X1 (GRE total score) and X2 (undergraduate GPA) are used to predict Y (graduate GPA): Y          X1       X2 3.6 135 2.6 4 130 2.6 3 105 2.4 3.3 115 2.7 3.2 105 3.1 3 100 3.2 2.7 110 3.8 3.8 125 3.6 4 145 3.2 Determine the following multiple regression values. Report intercept and slopes for regression equation accurate to 3 decimal places:     Intercept: a=     Partial slope X1: b1=     Partial...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT