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Fundamentals of Statistics | 4th Edition | ISBN: 9780321838704 | Authors: Michael Sullivan,III
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Solved: You Explain It! Study Time and Exam ScoresAfter

Chapter 3, Problem 14AYU

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QUESTION:

After the first exam in a statistics course, Professor Katula surveyed 14 randomly selected students to determine the relation between the amount of time they spent studying for the exam and exam score. She found that a linear relation exists between the two variables. The least-squares regression line that describes this relation is \(\hat{y}\) = 6.3333x + 53.0298.

(a) Predict the exam score of a student who studied 2 hours.

(b) Interpret the slope.

(c) What is the mean score of students who did not study?

(d) A student who studied 5 hours for the exam scored 81 on the exam. Is this student’s exam score above or below average among all students who studied 5 hours?

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QUESTION:

After the first exam in a statistics course, Professor Katula surveyed 14 randomly selected students to determine the relation between the amount of time they spent studying for the exam and exam score. She found that a linear relation exists between the two variables. The least-squares regression line that describes this relation is \(\hat{y}\) = 6.3333x + 53.0298.

(a) Predict the exam score of a student who studied 2 hours.

(b) Interpret the slope.

(c) What is the mean score of students who did not study?

(d) A student who studied 5 hours for the exam scored 81 on the exam. Is this student’s exam score above or below average among all students who studied 5 hours?

ANSWER:

Step 1 of 5

Given, in a survey of 14 randomly selected students to determine the relation between the study time and exam score.

The least square regression line is \(\widehat{y}=6.3333x+53.0298\)

a) We have to predict the exam score of the student who studied 2 hours.

Let , y= 6.3333x+ 53.0298

 

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