9) We have a sample of 6 observations on exam scores and hours of study and would like to estimate the following relationship using the least-squares method: Score Bo+ B, hours + e. We expect the score to increase with hours of study. Score Hours 80 90 85 65 50 80 12 14 11 10 8 11 Escore = 450, E hours = 66, E hours.score = 5085, Escore? = 34850, hours² = 746 %3D a. Estimate the unknown parameters using the method of OLS and find the least-squares prediction equation. b. Calculate SSE, R, standard error of the residuals (s), and standard error of slope coefficient (s Construct and interpret a 90% confidence interval for B. Predict the score of a student who studies 9 hours for the exam, and construct and interpret a 90% confidence interval using the predicted value (prediction interval). c.

9) We have a sample of 6 observations on exam scores and hours of study and would like to estimate the following relationship using the least-squares method: Score Bo+ B, hours + e. We expect the score to increase with hours of study. Score Hours 80 90 85 65 50 80 12 14 11 10 8 11 Escore = 450, E hours = 66, E hours.score = 5085, Escore? = 34850, hours² = 746 %3D a. Estimate the unknown parameters using the method of OLS and find the least-squares prediction equation. b. Calculate SSE, R, standard error of the residuals (s), and standard error of slope coefficient (s Construct and interpret a 90% confidence interval for B. Predict the score of a student who studies 9 hours for the exam, and construct and interpret a 90% confidence interval using the predicted value (prediction interval). c.

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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