ANOVA Source of Variation SS df MS F p-value Factor A 35,166.79 3 11,722.26 Factor B 22,297.66 2 11,148.83 Interaction 206,903.76 6 34,483.96 Error 125,290.42 36 3,480.29 Total 389,658.63 47 (a) What kind of ANOVA is this? One-factor ANOVA Two-factor ANOVA with replication Two-factor ANOVA without replication (b) Calculate each F test statistic and the p-value for each F test using Excel's function =F.DIST.RT(F,DF1,DF2). (Round your Fcalc values to 3 decimal places and p-values to...
ANOVA Source of Variation SS df MS F p-value Factor A 30,865.45 3 10,288.48 Factor B 22,557.30 2 11,278.65 Interaction 119,155.58 6 19,859.26 Error 90,553.57 36 2,515.38 Total 263,131.90 47 (a) What kind of ANOVA is this? One-factor ANOVA Two-factor ANOVA with replication Two-factor ANOVA without replication (b) Calculate each F test statistic and the p-value for each F test using Excel's function =F.DIST.RT(F,DF1,DF2). (Round your Fcalcvalues to 3 decimal places and p-values to 4 decimal places.) Source of Variation...
Question 5 (5 points) You are given a function y = 2x2 + 1. If Ax = dx = 0.01, find the value of dy for x = 2. (Do NOT round your final answer; exact values only)
ANOVA Source of Variation Factor A Factor B Interaction Error p-value MS 9,492.72 11,533.52 19,995.89 7,629.83 df 28,478.16 23,067.03 119,975.34 274,673.79 36 Total 446,194.32 47 (a) What kind of ANOVA is this? One-factor ANOVA O Two-factor ANOVA with replication O Two-factor ANOVA without replication (b) Calculate each F test statistic and the p-value for each Ftest using Excers function -F.DISTRT(FDF1,DF2) (Round your Fcalc values to 3 decimal places and p-values to 4 decimal places.) Source of Variation Factor A Factor...
Question 20 (0.2 points) The present value factor 1/(1+ in is the reciprocal of the future value factor (1 + i)n. True False
Use the given definition to find (A): If F(x) = + ax + 2x2 + + anten is a polynomial function, then for a square matrix A, RA) = aol +374 +374? ++ Rx) = 4 - 9x + x? 1x) = 4 - ****, --17:) A) -16 0 It 14 4 1
1. Factor completely x2 ax +bx + ab 4x2-49y2 2. Factor
Ax=O Unique solution (trivial solution x-0) No free variables Infinitely many (nontrivial) solutions Some free variables Every column of A is pivot column | (=> rank(A) = # of columns of A Some columns of A are not pivot columns rank(A)< #of columns of A You can use the above figure to answer the following questions are about homogeneous systems Ax-0. Answer TRUE or FALSE. If the answer is FALSE, choose FALSE with the appropriate counterexample, i.e example that shows...
a. Every matrix equation Ax b corresponds to a vector equation with the same solution set. Choose the correct answer below. O A. False. The matrix equation Ax-b does not correspond to a vector equation with the same solution set. O B. False. The matrix equation Ax b only corresponds to an inconsistent system of vector equations. O c. True. The matrix equation Ax-bis simply another notation for the vector equation x1a1 + x2a2 +·.. + xnan-b, where al ,...
3. Find the values of dy and Ay for y = 2x2 + x - 3 when x = 2 and Ax=dx=-0.03 Ay = f (x+ Ax) - S (x) and dy = f'(x) dx Go to four decimal places.