Gce Model Questions Vol1 2018 Mathematics Question 11

Practice essay / theory question 11 from the 2018 Gce Model Questions Vol1 Mathematics examination. This question covers Graphs .

Gce Model Questions Vol1 2018 Mathematics Essay / Theory
Topic: Graphs
Question 11 GCE_MODEL_QUESTIONS_VOL1 • 2018 • MATHEMATICS • essay
Gce Model Questions Vol1 2018 Mathematics Question 11 diagram

The graph below shows the relationship between the number of hours studied (h) and the score obtained (S) in a mathematics test for a group of students.

Question Parts

( a )
Assuming the data follow a quadratic model S = ah^2 + bh + c, determine the values of a, b and c that best fit the points (0,20), (4,68) and (8,88).
( b )
Using the quadratic model obtained in part (a), predict the score for a student who studies for 10 hours.
( c )
Find the marginal increase in score when the study time is increased from 4 to 6 hours, using the derivative of the quadratic model.
( d )
Comment on the suitability of a quadratic model for the given data, referring to the residuals at the plotted points.

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About This Question

This is Gce Model Questions Vol1 2018 Mathematics Question 11. It is one of the essay questions from the 2018 Gce Model Questions Vol1 Mathematics examination.

The question covers Graphs .

View More Gce Model Questions Vol1 2018 Mathematics Questions More Gce Model Questions Vol1 Practice Questions Back to Questions

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