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1.4. If the following observations of X5 were taken, show which values will now be used in the regression? 1 8.25 2 8.50 3 11.50 10.25 1.6. There is a question whether X4 is contributing in explaining the variation of the mean response. How can we establish this formally? 1.7. Let us assume that question 1.6 confirmed that the predictor X4 was not necessary. Then the following plot was created using the data and the fitted regression line.

1.4. If the following observations of X5 were taken, show which values will now be used in the regression? 1 8.25 2 8.50 3 11.50 10.25 1.6. There is a question whether X4 is contributing in explaining the variation of the mean response. How can we establish this formally? 1.7. Let us assume that question 1.6 confirmed that the predictor X4 was not necessary. Then the following plot was created using the data and the fitted regression line.

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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1. Using a data set with 4 predictor variable data set, an analyst decided to use regression as model to fit the data and explain the response variable. Using all the data he determined the following regression Ŷ = bo + b₁X₁ + b₂X₂ + b3X3 + b4X4 + b5X5 He then determined a scatter plot matrix and the scatter between X5 and Y resulted in the scatter plot below. 100 200
Transcribed Image Text:1. Using a data set with 4 predictor variable data set, an analyst decided to use regression as model to fit the data and explain the response variable. Using all the data he determined the following regression Ŷ = bo + b₁X₁ + b₂X₂ + b3X3 + b4X4 + b5X5 He then determined a scatter plot matrix and the scatter between X5 and Y resulted in the scatter plot below. 100 200
1.4. If the following observations of X5 were taken, show which values will now be used in the regression? 1 8.25 114 2 8.50 3 11.50 1.7.1. What can you deduct from this plot? 1.7.2 What remedy will you propose? 4 1.6. There is a question whether X4 is contributing in explaining the variation of the mean response. How can we establish this formally? 10.25 1.7. Let us assume that question 1.6 confirmed that the predictor X4 was not necessary. Then the following plot was created using the data and the fitted regression line. Y = bo + b₁X₁ + b₂X2 + b3X3 + b5X5'
Transcribed Image Text:1.4. If the following observations of X5 were taken, show which values will now be used in the regression? 1 8.25 114 2 8.50 3 11.50 1.7.1. What can you deduct from this plot? 1.7.2 What remedy will you propose? 4 1.6. There is a question whether X4 is contributing in explaining the variation of the mean response. How can we establish this formally? 10.25 1.7. Let us assume that question 1.6 confirmed that the predictor X4 was not necessary. Then the following plot was created using the data and the fitted regression line. Y = bo + b₁X₁ + b₂X2 + b3X3 + b5X5'
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