Igcse Model Questions Vol1 2023 Mathematics Question 40

Practice objective / multiple choice question 40 from the 2023 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2023 Mathematics Objective / Multiple Choice Hard Difficulty
Question 40 IGCSE_MODEL_QUESTIONS_VOL1 • 2023 • MATHEMATICS • objective

For a class of 30 students, the mean score on Exam 1 is 68 with a standard deviation of 8, and the mean score on Exam 2 is 74 with a standard deviation of 6. The correlation coefficient between the two exam scores is 0.6. (a) Write the equation of the least‑squares regression line that predicts the Exam 2 score (\(y\)) from the Exam 1 score (\(x\)). (b) Using this line, estimate the Exam 2 score for a student who obtained 80 on Exam 1.

Answer Options

A. y = 0.45x + 42.5; predicted score = 78.5
B. y = 0.80x + 19.6; predicted score = 83.6
Correct Answer C. y = 0.45x + 43.4; predicted score = 79.4
D. y = 0.50x + 43.4; predicted score = 83.4
Correct Answer
C
Correct Option:
y = 0.45x + 43.4; predicted score = 79.4

About This Question

This is Igcse Model Questions Vol1 2023 Mathematics Question 40. It is one of the objective questions from the 2023 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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