Figure 2 shows the results of the Tukey test to test pairwise differences at the significance level 0.05 for the additive model using design and region with regards totheir impact on the survey responses.Figure 2.Tukey test results showing pairwise factor level comparison with regards to impact on the survey responses. P adj shows the p value for each pairwise levelcomparison. P values with 0.0000000 indicate that the p value is < 0.00000001.Tukey multiple comparisons of means95% family-wise confidence levelFit: aov(formula = Response ~ Design + Region, data = ads)SDesignp adj2-1 167.916667 130. 03784 205.79549 0.000000030. 21216 0. 87234923-2 -175. 583333 -213.46216 -137.70451 0.0000000diff1wrupr3-1-7.666667 -45. 54549SRegionp adj27.75772 124.2422836 0.0009529SE-NE -49. 000000 -97.24228 -0.7577164 0.045441519.42438 115. 9089503 0.0033716SE-NW -125.000000 -173.24228 -76.7577164 0.0000005-8. 333333 -56. 57562 39.9089503 0.965136568.42438 164.9089503 0.0000016diff76.0000001wruprNW-NESW-NE67.666667SW-NWSW-SE 116. 666667Considering a significance level of alpha = 0.05, select the correct statement below.%3DFor region, all pairwise Region levels differ from each other significantly with regards to survey responses.For design, all pairwise Design levels differ from each other significantly with regards to survey responses.The average survey response using Design 3 is 175.58 higher than the average survey response using Design 2.Designs 1 and 3 do not differ significantly; but Design 2 is significantly different than Design 1, and Design 2 is significantly different than Design 3 with regards tosurvey responses.

Answered: Image /qna-images/answer/8363503a-6338-4f2d-821c-5282b4643fc1.jpg

Answered: Figure 2 shows the results of the Tukey…

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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