The Basic Practice of Statistics
The Basic Practice of Statistics
8th Edition
ISBN: 9781319042578
Author: David S. Moore, William I. Notz, Michael A. Fligner
Publisher: W. H. Freeman
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Chapter 26, Problem 26.27E

(a)

To determine

To find: The 90% confidence interval for the slope of the population regression line of gate velocity on piston thickness.

(b)

To determine

To find: The 90% confidence interval for the average gate velocity for a type of piston with thickness 0.5 inch.

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solve the question based on hw 1, 1.41
T1.4: Let ẞ(G) be the minimum size of a vertex cover, a(G) be the maximum size of an independent set and m(G) = |E(G)|. (i) Prove that if G is triangle free (no induced K3) then m(G) ≤ a(G)B(G). Hints - The neighborhood of a vertex in a triangle free graph must be independent; all edges have at least one end in a vertex cover. (ii) Show that all graphs of order n ≥ 3 and size m> [n2/4] contain a triangle. Hints - you may need to use either elementary calculus or the arithmetic-geometric mean inequality.
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