Neco Model Questions Vol1 2023 Mathematics Question 32

Practice objective / multiple choice question 32 from the 2023 Neco Model Questions Vol1 Mathematics examination.

Neco Model Questions Vol1 2023 Mathematics Objective / Multiple Choice Hard Difficulty
Question 32 NECO_MODEL_QUESTIONS_VOL1 • 2023 • MATHEMATICS • objective

In a class of 30 students, the mean score in examination \(X\) is 68 with a standard deviation of 8. The sum of the variances of examinations \(X\) and \(Y\) is 200, and the correlation coefficient between the two examinations is 0.6. The overall mean of the two examinations (i.e., the mean of \(\frac{X+Y}{2}\) for each student) is 72. Determine the regression line of \(Y\) on \(X\) and use it to predict the score in \(Y\) for a student who obtained 80 in \(X\). Give the predicted \(Y\) score to one decimal place.

Answer Options

A. 84.1
B. 78.3
Correct Answer C. 86.5
D. 92.0
Correct Answer
C
Correct Option:
86.5

About This Question

This is Neco Model Questions Vol1 2023 Mathematics Question 32. It is one of the objective questions from the 2023 Neco Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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