# Sp99ex2 - Sp 99 EGN 3420 Exam 2 Name SHOW ALL WORK In each...

This preview shows pages 1–2. Sign up to view the full content.

Sp 99 EGN 3420 Exam 2 Name__________________ SHOW ALL WORK! In each problem, round all presented results to 4 places after the decimal point. Problem 1 (35 pts) A tutoring service has kept records of performance on a standardized test and the number of days students attend their review classes. The performance rating Y represents the per cent improvement in the test score students attain after taking the exam a second time. X is the number of attendance days in the review class. X, Attendance Days x 0 1 x 1 2.5 x 2 5 x 3 6.5 x 4 9 Y, % Improvement y 0 2 y 1 5 y 2 11 y 3 14 y 4 17 a) Estimate f (4), the % improvement in one's score after 4 days of attending review classes, assuming y = f ( x ) is the true function relating X and Y . Base your result on a third order Newton divided-difference interpolating polynomial f 3 ( x ). Fill in the table of divided differences below to find the appropriate coefficients. i x i y i 2 3 4 0 1 2 3 4 b) Estimate the error in the interpolated value f (4). Use the extra data point. i.e. the one not used in Part a) to obtain your answer.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern