b-2. Find the pvalue. O p-value < 0.01 O 0.01 s p-value < 0.025 O 0.025 s p-value < 0.05 O 0.05 s p-value < 0.10 O p-value 2 0.10 c. At the 5% significance level, What is the conclusion to the test? (Click to select) Hø, we (Click to select) conclude that x2 and x3 are jointly significant.

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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B-1 through c
Consider a portion of simple linear regression results,
= 105.40 + 39.17x1; SSE= 4007,308; n= 30
In an attempt to improve the results, two explanatory variables are added. The relevant regression results are the following:
= 4.87 + 19.47x– 26.31×2 + 7.31x3;
SSE=344,784, n= 30.
[You may find it useful to reference the F table.]
a. Formulate the hypotheses to determine whether x, and x3 are jointly significant in explaining y.
O Ho: 62 = 63 = 0; HA: At least one of the coefficients is nonzero.
O Họ: 61 = 6, = 63 = 0; HA: At least one of the coefficients is nonzero.
O Ho: 62 = 63 = 0; HA: At least one of the coefficients is greater than zero.
b-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3
decimal places.)
Test statistic
Transcribed Image Text:Consider a portion of simple linear regression results, = 105.40 + 39.17x1; SSE= 4007,308; n= 30 In an attempt to improve the results, two explanatory variables are added. The relevant regression results are the following: = 4.87 + 19.47x– 26.31×2 + 7.31x3; SSE=344,784, n= 30. [You may find it useful to reference the F table.] a. Formulate the hypotheses to determine whether x, and x3 are jointly significant in explaining y. O Ho: 62 = 63 = 0; HA: At least one of the coefficients is nonzero. O Họ: 61 = 6, = 63 = 0; HA: At least one of the coefficients is nonzero. O Ho: 62 = 63 = 0; HA: At least one of the coefficients is greater than zero. b-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic
b-2. Find the p-value.
O p-value < 0.01
O 0.01 s p-value < 0.025
O 0,025 s p-value < 0.05
O 0.05 s p-value < 0.10
O p-value 2 0.10
c. At the 5% significance level, What is the conclusion to the test?
(Click to select) v Ho, we (Click to select) v conclude that x, and x3 are jointly significant.
Transcribed Image Text:b-2. Find the p-value. O p-value < 0.01 O 0.01 s p-value < 0.025 O 0,025 s p-value < 0.05 O 0.05 s p-value < 0.10 O p-value 2 0.10 c. At the 5% significance level, What is the conclusion to the test? (Click to select) v Ho, we (Click to select) v conclude that x, and x3 are jointly significant.
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