MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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
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.
Here, SST = 14,995.6, SSR = 13,855.0,
= 0.2482, and s
= 0.9526.
(a) Test for a significant relationship among x,, x, and y. Use a = 0.05.
State the null and alternative hypotheses.
O Ho: B1 > B2
O Ho: B1 = B2 = 0
One or more of the parameters is not equal to zero.
%3D
O Ho: B, +0 and B2 = 0
= 0 and B, * o
O Ho: B, +0 and B, +0
H: One or more of the parameters is equal to zero.
O Họ: B1 < B2
1.
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 Hn. There is sufficient 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.
Do not reject Hn: There is insufficient evidence to conclude that there is a significant relationship among the variables.
O Reject Hn. There is insufficient evidence to conclude that there is a significant relationship among the variables.
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Transcribed Image Text:You may need to use the apPpropriate technology to answer this question. 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 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. Here, SST = 14,995.6, SSR = 13,855.0, = 0.2482, and s = 0.9526. (a) Test for a significant relationship among x,, x, and y. Use a = 0.05. State the null and alternative hypotheses. O Ho: B1 > B2 O Ho: B1 = B2 = 0 One or more of the parameters is not equal to zero. %3D O Ho: B, +0 and B2 = 0 = 0 and B, * o O Ho: B, +0 and B, +0 H: One or more of the parameters is equal to zero. O Họ: B1 < B2 1. 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 Hn. There is sufficient 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. Do not reject Hn: There is insufficient evidence to conclude that there is a significant relationship among the variables. O Reject Hn. There is insufficient evidence to conclude that there is a significant relationship among the variables.
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