Consider the following data for a dependent variable y and two independent variables, x,andX2:X1 X2y30129347101082517112511617840945119175747170361211759131427616213The estimated regression equation for these data isŷ = -20.24 + 2.04x, + 4.78x2.Here, SST =15,563.6, SSR14,417.6,0.2488, and= 0.9548.zas(a) Test for a significant relationship among x,, x2, and y. Use a = 0.05.State the null and alternative hypotheses.Ho: B1 + 0 and B2O and B, + 0= 0O Ho: B1 < B21O Ho: P1 = B2 = 0: One or more of the parameters is not equal to zero.HaiO Ho: B1 > B2Ha: B1 s B2О Но: В, + 0 and B, # 0 Ho: B1 > B2Hạ: 1 s B2Но: В, +0 and p, # 0: One or more of the parameters is equal to zero.Find the value of the test statistic. (Round your answer to two decimal places.)Find the p-value. (Round your answer to three decimal places.)p-value%3DState your conclusion.Do not reject Ho. There is insufficient evidence to conclude that there is a significant relationship among the variables.Reject Ho. There is insufficient evidence to conclude that there is a significant relationship among the variables.Do not reject Ho: There is sufficient evidence to conclude that there is a significant relationship among the variables.Reject Ho. There is sufficient evidence to conclude that there is a significant relationship among the variables.(b) Is B, significant? Use a = 0.05.State the null and alternative hypotheses.O Ho: B1Ha: B, + 01.O Ho: B1 < 0O Ho: B1 = 0Ha: B, > 01Ho: B1 > 0O Ho: B1 + 0Ha: B1= 0Find the value of the test statistic. (Round your answer to two decimal places.)Find the p-value. (Round your answer to three decimal places.)p-value%D

The statistical software output for this problem is given below: Hence,a) Hypotheses: Option C…

Consider the following data for a dependent variable y and two independent variables, x, and x,. X1 x2 y 30 12 93 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 213 The estimated regression equation for these data is ŷ = -20.24 + 2.04x, + 4.78x2. Here, SST = 15,563.6, SSR = 14,417.6, s,, = 0.2488, and = 0.9548. (a) Test for a significant relationship among x,, X2, and y. Use a = 0.05. State the null and alternative hypotheses. O Ho: B, + 0 and ß, = 0 H: B, = 0 and ß, # 0 O Ho: B1< B2 Hgi Pq Z Bz Hoi Bz = B2 = 0 H: One or more of the parameters is not equal to zero. O Ho: B1 > B2 Hai B1 s Bz O Hoi B. + 0 and Ba + 0

Consider the following data for a dependent variable y and two independent variables, x, and x,. X1 x2 y 30 12 93 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 213 The estimated regression equation for these data is ŷ = -20.24 + 2.04x, + 4.78x2. Here, SST = 15,563.6, SSR = 14,417.6, s,, = 0.2488, and = 0.9548. (a) Test for a significant relationship among x,, X2, and y. Use a = 0.05. State the null and alternative hypotheses. O Ho: B, + 0 and ß, = 0 H: B, = 0 and ß, # 0 O Ho: B1< B2 Hgi Pq Z Bz Hoi Bz = B2 = 0 H: One or more of the parameters is not equal to zero. O Ho: B1 > B2 Hai B1 s Bz O Hoi B. + 0 and Ba + 0

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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