Igcse Model Questions Vol1 2024 Mathematics Question 7

Practice objective / multiple choice question 7 from the 2024 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2024 Mathematics Objective / Multiple Choice Hard Difficulty
Question 7 IGCSE_MODEL_QUESTIONS_VOL1 • 2024 • MATHEMATICS • objective

A class of 30 students sat two exams. For exam 1 the mean score was \(68\) and the standard deviation \(8\). For exam 2 the mean was \(72\) and the standard deviation \(6\). The correlation coefficient between the two exam scores was \(0.6\). One student scored \(85\) on exam 1 and \(90\) on exam 2. (i) If this student's scores are removed, what is the new mean of exam 2 (to two decimal places)? (ii) Using the remaining 29 students, write the equation of the regression line that predicts exam‑2 score from exam‑1 score, in the form \(\hat{Y}=a+bX\) (give \(a\) and \(b\) to two decimal places).

Answer Options

Correct Answer A. New mean = 71.38; regression line: Ŷ = 48.91 + 0.33X
B. New mean = 70.12; regression line: Ŷ = 49.50 + 0.30X
C. New mean = 71.38; regression line: Ŷ = 47.80 + 0.35X
D. New mean = 72.05; regression line: Ŷ = 48.91 + 0.28X
Correct Answer
A
Correct Option:
New mean = 71.38; regression line: Ŷ = 48.91 + 0.33X

About This Question

This is Igcse Model Questions Vol1 2024 Mathematics Question 7. It is one of the objective questions from the 2024 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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