Tristan has completed his STAT 1342 course. He intends to build a simple linear regression model using control variable (X) as number of hours per week for his preparations and (Y) as the weekly performance measured in a 100-point scale and based on his self-assessment. There were totally n = records. The model built by Tristan was: 28 weekly collected Ý = 10 + 7. X %3D with the standard error of estimated slope equal to SE = SE (b] = 2.8 1. At significance level, a = 0.01, is there sufficient evidence that X positively impacts Y? • Evaluate Test Statistic • Specify critical value (or values) for this procedure • State the Rejection Rule • Formulate your decision 2. Estimate the population slope (= B) with confidence level, C = 0.95 • Specify critical value (or values) for this procedure • Evaluate UCL and LCL Solution
Tristan has completed his STAT 1342 course. He intends to build a simple linear regression model using control variable (X) as number of hours per week for his preparations and (Y) as the weekly performance measured in a 100-point scale and based on his self-assessment. There were totally n = records. The model built by Tristan was: 28 weekly collected Ý = 10 + 7. X %3D with the standard error of estimated slope equal to SE = SE (b] = 2.8 1. At significance level, a = 0.01, is there sufficient evidence that X positively impacts Y? • Evaluate Test Statistic • Specify critical value (or values) for this procedure • State the Rejection Rule • Formulate your decision 2. Estimate the population slope (= B) with confidence level, C = 0.95 • Specify critical value (or values) for this procedure • Evaluate UCL and LCL Solution
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![Tristan has completed his STAT 1342 course. He intends to build a simple linear regression model using
control variable (X) as number of hours per week for his preparations and (Y) as the weekly performance
measured in a 100-point scale and based on his self-assessment. There were totally n = 28 weekly collected
records. The model built by Tristan was:
Ý = 10 + 7· X
with the standard error of estimated slope equal to
SE = SE [6] = 2.8
1. At the significance level, a = 0.01, is there sufficient evidence that X positively impacts Y?
• Evaluate Test Statistic
• Specify critical value (or values) for this procedure
• State the Rejection Rule
• Formulate your decision
2. Estimate the population slope (= B) with confidence level, C = 0.95
• Specify critical value (or values) for this procedure
• Evaluate UCL and LCL
Solution
10](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad50bef8-2fa2-436a-9627-8f070db35175%2Ffd9dfc17-55af-42ca-a2ee-dc43084c21c6%2Feioib8g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Tristan has completed his STAT 1342 course. He intends to build a simple linear regression model using
control variable (X) as number of hours per week for his preparations and (Y) as the weekly performance
measured in a 100-point scale and based on his self-assessment. There were totally n = 28 weekly collected
records. The model built by Tristan was:
Ý = 10 + 7· X
with the standard error of estimated slope equal to
SE = SE [6] = 2.8
1. At the significance level, a = 0.01, is there sufficient evidence that X positively impacts Y?
• Evaluate Test Statistic
• Specify critical value (or values) for this procedure
• State the Rejection Rule
• Formulate your decision
2. Estimate the population slope (= B) with confidence level, C = 0.95
• Specify critical value (or values) for this procedure
• Evaluate UCL and LCL
Solution
10
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