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Consider the setting of Exercise 1. The residuals corresponding to the LSQ line, HR = 133.72 – 280.8 BA, are he graph below. Residuals Versus the Order of the Data (response is HR) 30 20 10

Consider the setting of Exercise 1. The residuals corresponding to the LSQ line, HR = 133.72 – 280.8 BA, are he graph below. Residuals Versus the Order of the Data (response is HR) 30 20 10

MATLAB: An Introduction with Applications
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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**Exercise 2.** Consider the setting of Exercise 1. The residuals corresponding to the LSQ line, \( HR = 133.72 - 280.8 \, BA \), are plotted in the graph below. **Graph Description:** The graph is titled "Residuals Versus the Order of the Data (response is HR)." The x-axis is labeled "Observation Order" and ranges from 1 to 14. The y-axis is labeled "Residual" and ranges from -30 to 30. The plot consists of red points connected by a blue line, showing the residuals of each observation. It starts near -30 at observation 1, moves up to around 0 at observation 3, rises to about 20 at observation 4, fluctuates between approximately 20 and -10 across observations, and peaks near 30 at observation 13. **Questions:** (a) Using the residual graph only, estimate how far the fitted/predicted number of home runs (fitted \(\hat{y}_5\)) is from the observed number of home runs (observed \(y_5\) value) for the 5th observation in the data set. (b) Give an approximate 95% prediction interval for the number of home runs hit by an MVP who has a batting average of 0.350. Explain your reasoning.
Transcribed Image Text:**Exercise 2.** Consider the setting of Exercise 1. The residuals corresponding to the LSQ line, \( HR = 133.72 - 280.8 \, BA \), are plotted in the graph below. **Graph Description:** The graph is titled "Residuals Versus the Order of the Data (response is HR)." The x-axis is labeled "Observation Order" and ranges from 1 to 14. The y-axis is labeled "Residual" and ranges from -30 to 30. The plot consists of red points connected by a blue line, showing the residuals of each observation. It starts near -30 at observation 1, moves up to around 0 at observation 3, rises to about 20 at observation 4, fluctuates between approximately 20 and -10 across observations, and peaks near 30 at observation 13. **Questions:** (a) Using the residual graph only, estimate how far the fitted/predicted number of home runs (fitted \(\hat{y}_5\)) is from the observed number of home runs (observed \(y_5\) value) for the 5th observation in the data set. (b) Give an approximate 95% prediction interval for the number of home runs hit by an MVP who has a batting average of 0.350. Explain your reasoning.
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