Gce Model Questions Vol1 2019 Mathematics Question 20

Practice objective / multiple choice question 20 from the 2019 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2019 Mathematics Objective / Multiple Choice Hard Difficulty
Question 20 GCE_MODEL_QUESTIONS_VOL1 • 2019 • MATHEMATICS • objective

In a class of 20 students, the mean score for Exam 1 is 68 with a standard deviation of 5, and the mean score for Exam 2 is 72 with a standard deviation of 6. The correlation coefficient between the two exam scores is 0.8. (a) Determine the slope of the least‑squares regression line that predicts the Exam 2 score from the Exam 1 score. (b) Using this regression line, estimate the Exam 2 score of a student who obtained 75 in Exam 1. Give your answer to two decimal places.

Answer Options

A. Slope = 0.67; Predicted Exam 2 score = 76.69
B. Slope = 1.20; Predicted Exam 2 score = 80.40
C. Slope = 0.96; Predicted Exam 2 score = 72.00
Correct Answer D. Slope = 0.96; Predicted Exam 2 score = 78.72
Correct Answer
D
Correct Option:
Slope = 0.96; Predicted Exam 2 score = 78.72

About This Question

This is Gce Model Questions Vol1 2019 Mathematics Question 20. It is one of the objective questions from the 2019 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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