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IB Maths AA HL Sl 4 10 Regression X on Y Questions

Practise choosing the correct regression direction, using an x-on-y line for prediction only when appropriate, and evaluating the estimate in context.

Syllabus
First assessment 2021
Course
Mathematics: analysis and approaches HL
Level
HL

Exam points

  • Analyse which regression model predicts the target variable from the explanatory variable.
  • Evaluate a regression estimate in context and justify the appropriate direction of prediction.

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Study SL 4.10—Regression x on y conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

IB Maths AA HL Sl 4 10 Regression X on Y Questions question 1

[Maximum number: 8]

A class is given two tests, Test A and Test B. Each test is scored out of a total of 100 marks. The scores of the students are shown in the following table.

Table for Question IB Maths AA HL Sl 4 10 Regression X on Y Questions question 1 — IB Maths AA HL

Let x be the score on Test A and y be the score on Test B.
The teacher finds that the equation of the regression line of y on x for these scores is y=0.822 x+18.4.

Question (a)

(a)

Give a reason why this method is not appropriate for Giovanni.

[ 4 ]

Question (b)

(b)

Use an appropriate method to show that the estimated Test A score for Giovanni is 86 to the nearest integer.

[ 4 ]
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