Neco Model Questions Vol1 2022 Mathematics Question 47
Practice objective / multiple choice question 47 from the 2022 Neco Model Questions Vol1 Mathematics examination.
In a class of \(30\) students, the mean score on Exam\,1 is \(70\) with a standard deviation of \(8\). The mean score on Exam\,2 is \(75\) with a standard deviation of \(10\). The correlation coefficient between the two exam scores is \(0.5\). (i) Find the least‑squares regression line that predicts the Exam\,2 score \(y\) from the Exam\,1 score \(x\). (ii) Using this line, estimate the Exam\,2 score of a student who obtained \(80\) on Exam\,1. (iii) Assuming Exam\,2 scores are normally distributed, calculate the probability that a randomly selected student scores above \(85\) on Exam\,2.
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About This Question
This is Neco Model Questions Vol1 2022 Mathematics Question 47. It is one of the objective questions from the 2022 Neco Model Questions Vol1 Mathematics examination.
Difficulty level: Hard .
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