piail Why it does not make sense to interpret the intercept. 14. You Explain It!
ID: 3073347 • Letter: P
Question
piail Why it does not make sense to interpret the intercept. 14. You Explain It! Study Time and Exam Scores 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 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?Explanation / Answer
14)
a)
y^ = 6.33333 x + 53.0298
x = 2
y^ = 2 * 6.33333 + 53.0298
= 65.69646
b)
when there is increase of 1 unit in time studying for exam
on average score increase by 6.3333
c)
when x = 0
y^ = 53.0298
d)
Y^ = 6.3333 * 5 + 53.0298
=84.69645
since
81 < 84.69645
actual < predicted
hence
below average
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