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You ask a small sample of 5 students what many hours they spent preparing for the

You ask a small sample of 5 students what many hours they spent preparing for the

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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You ask a small sample of 5 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. You fit a least squares line to the data which can be used to predict exam scores from the time spent studying. You wish to conduct a statistical test to obtain evidence that the true population slope is greater than zero. You are going to conduct the test at the .10 level of significance. Find the critical value of the test statistic. (Provide your answer as a number rounded to 3 decimal places; your answer must be accurate within +0.0005.)
You ask a small sample of 5 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) 10 18 11 13 19 Answer: Exam score (out of 100) 52 76 64 55 94 You fit a least squares line to the data which can be used to predict exam scores from the time spent studying. You wish to conduct a statistical test to obtain evidence that the true population slope is greater than zero. You are going to conduct the test at the .10 level of significance. Find the critical value of the test statistic. (Provide your answer as a number rounded to 3 decimal places; your answer must be accurate within +0.0005.)
Transcribed Image Text:You ask a small sample of 5 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) 10 18 11 13 19 Answer: Exam score (out of 100) 52 76 64 55 94 You fit a least squares line to the data which can be used to predict exam scores from the time spent studying. You wish to conduct a statistical test to obtain evidence that the true population slope is greater than zero. You are going to conduct the test at the .10 level of significance. Find the critical value of the test statistic. (Provide your answer as a number rounded to 3 decimal places; your answer must be accurate within +0.0005.)
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