Time spent studying (hours) 12 9 23 7 13 Exam sco

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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You ask a small sample of 6 students what percentage score they obtained in a recent exam and how
many hours they spent preparing for the exam. The data you obtained is summarised in the table
below.
Time spent studying (hours)
12
9
23
Answer:
7
13
11
Exam score (out of 100)
70
56
91
60
52
58
You fit a least squares line to the data which can be used to predict exam scores from the time spent
studying. You find that the intercept of the line is equal to 37.691, and the slope is 2.145. Calculate
the t-statistic used to the test the null hypothesis that the true population slope is zero. (Round the
result to three decimal places.)
Transcribed Image Text:You ask a small sample of 6 students what percentage score they obtained in a recent exam and how many hours they spent preparing for the exam. The data you obtained is summarised in the table below. Time spent studying (hours) 12 9 23 Answer: 7 13 11 Exam score (out of 100) 70 56 91 60 52 58 You fit a least squares line to the data which can be used to predict exam scores from the time spent studying. You find that the intercept of the line is equal to 37.691, and the slope is 2.145. Calculate the t-statistic used to the test the null hypothesis that the true population slope is zero. (Round the result to three decimal places.)
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