(b) Is 8, significant? Use a = 0.05.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:(b) Is 8, significant? Use a = 0.05.
State the null and alternative hypotheses.
O Ho: B = 0
H: B, >0
1.
O Ho: B, < 0
H: B, 20
O Ho: B, +0
= 0
O Ho: B > 0
H: B, so
O Ho: B1
H: B, + 0
= 0
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 =
State your conclusion.
O Reject Ho. There is sufficient evidence to conclude that B, is significant.
Do not reject H. There is sufficient evidence to conclude that 8, is significant.
O Do not reject Ho: There is insufficient evidence to conclude that B, is significant.
O Reject H,. There is insufficient evidence to conclude that 8, is significant.
Transcribed Image Text: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
209
The estimated regression equation for these data is
ý = -17.54 + 2.00x, + 4.70x2.
= 0.2482, and 5,,
= 0.9526.
Here, SST = 14,995.6, SSR = 13,855.0,
(a) Test for a significant relationship among x,, x2, and y. Use a = 0.05.
State the null and alternative hypotheses.
O H.: B1 < B2
O Ho: B, + 0 and 8, = 0
H: B, - 0 and B, + 0
O Ho: B1 = B2 = 0
H: One or more of the parameters is not equal to zero.
O Ho: B1 > B2
H: B, s B2
O Ho: B1 + 0 and 8, 0
H.: One or more of the parameters is equal to zero.
Find the value of the test statistic. (Round your answer to two decimal places.)
42.52
Find the p-value. (Round your answer to three decimal places.)
p-value = .0000
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