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Linear Algebra: A Modern Introduction
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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Problem #4: Consider the data set that is summarized in the R Output below. Df Pr (>F) Sum Sq 36.43 F Value 2.80 C2 Mean Sq 18.217 6.502 2 0.0748 Residuals 34 221.08 Signif. codes: 0 ¹*** 0.001 ** 0.01 0.05 0.1 1 sample n mean sd 1 11 12.03 2.5775 2 13 ? 2.8429 3 13 11.27 2.1920 Pairwise comparisons using t tests with pooled SD data: C2 and sample 1 2 2 0.086 - 3 1.000 0.337 P value adjustment method: bonferroni (a) Find a 94% Bonferonni confidence interval for 3-₁. (b) Which pairs of means are significantly different, using the Bonferonni method at the 6% significance level? enter your answer in the form a,b (numbers correct to 3 decimals) (A) 2 and 3 only (B) none of them (C) all of them (D) 1 and 2 only (E) 1 and 2, 2 and 3 only (F) 1 and 2, 1 and 3 only (G) 1 and 3 only (H) 1 and 3, 2 and 3 only Problem #4(a): Problem #4(b): Select Which pairs?
Transcribed Image Text:Problem #4: Consider the data set that is summarized in the R Output below. Df Pr (>F) Sum Sq 36.43 F Value 2.80 C2 Mean Sq 18.217 6.502 2 0.0748 Residuals 34 221.08 Signif. codes: 0 ¹*** 0.001 ** 0.01 0.05 0.1 1 sample n mean sd 1 11 12.03 2.5775 2 13 ? 2.8429 3 13 11.27 2.1920 Pairwise comparisons using t tests with pooled SD data: C2 and sample 1 2 2 0.086 - 3 1.000 0.337 P value adjustment method: bonferroni (a) Find a 94% Bonferonni confidence interval for 3-₁. (b) Which pairs of means are significantly different, using the Bonferonni method at the 6% significance level? enter your answer in the form a,b (numbers correct to 3 decimals) (A) 2 and 3 only (B) none of them (C) all of them (D) 1 and 2 only (E) 1 and 2, 2 and 3 only (F) 1 and 2, 1 and 3 only (G) 1 and 3 only (H) 1 and 3, 2 and 3 only Problem #4(a): Problem #4(b): Select Which pairs?
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