(b) Is B, significant? Use a = 0.05. State the null and alternative hypotheses. Ho: B, = 0 H: B1 O Ho: B1 > 0 H: B, s0 O Ho: B1 + 0 H: B1 = 0 = 0 O Ho: B1 < 0 H: B 20 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. Do not reject H. There is insufficient evidence to conclude that 8, is significant. Reject H,. There is insufficient evidence to conclude that B, is significant. 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. (c) Is 8, significant? Use a = 0.05. State the null and alternative hypotheses. O Ho: B2 < 0 B2 2 0 H : O Ho: B2 > 0 H: B2 s0 O Ho: B2 + 0 H: B2 = 0 O Ho: B2 = 0 H: 82 > 0 Ho: B2 = 0 H: B2 + 0 Find the value of the test statistic. (Round your answer to two decimal places.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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You may need to use the appropriate technology to answer this question.
Consider the following data for a dependent variable y and two independent variables, x,
and
X1
X2 y
30
12
95
47
10
108
25
17
112
51
16
178
40
94
51
19
175
74
7
170
36
12
117
59
13
142
76
16 212
The estimated regression equation for these data is
ý = -18.52 + 2.01x, + 4.75x2.
Here, SST = 15,234.1, SSR =
14,109.8, 55,
= 0.2464, and
= 0.9457.
Transcribed Image Text:You may need to use the appropriate technology to answer this question. Consider the following data for a dependent variable y and two independent variables, x, and X1 X2 y 30 12 95 47 10 108 25 17 112 51 16 178 40 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 212 The estimated regression equation for these data is ý = -18.52 + 2.01x, + 4.75x2. Here, SST = 15,234.1, SSR = 14,109.8, 55, = 0.2464, and = 0.9457.
(b) Is 8, significant? Use a = 0.05.
State the null and alternative hypotheses.
O Ho: B = 0
H: B1 > 0
O Ho: B, > 0
H: B, s0
O Ho: B1 + 0
H: B = 0
O Ho: B, = 0
H: B, +0
O Ho: B1 < 0
H: B, 20
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 Do not reject Hn. There is insufficient evidence to conclude that 8, is significant.
O Reject H,. There is insufficient evidence to conclude that 8, is significant.
O Reject H,. There is sufficient evidence to conclude that 8, is significant.
O Do not reject H.. There is sufficient evidence to conclude that 8, is significant.
(c) Is 8, significant? Use a = 0.05.
State the null and alternative hypotheses.
O Ho: B2 < 0
O Ho: B2 > 0
H: B2 s0
O Ho: B2 + 0
H: B2 = 0
O Ho: B2 = 0
H: 82 > 0
O Ho: 82 = 0
H: B2 * 0
Find the value of the test statistic. (Round your answer to two decimal places.)
Transcribed Image Text:(b) Is 8, significant? Use a = 0.05. State the null and alternative hypotheses. O Ho: B = 0 H: B1 > 0 O Ho: B, > 0 H: B, s0 O Ho: B1 + 0 H: B = 0 O Ho: B, = 0 H: B, +0 O Ho: B1 < 0 H: B, 20 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 Do not reject Hn. There is insufficient evidence to conclude that 8, is significant. O Reject H,. There is insufficient evidence to conclude that 8, is significant. O Reject H,. There is sufficient evidence to conclude that 8, is significant. O Do not reject H.. There is sufficient evidence to conclude that 8, is significant. (c) Is 8, significant? Use a = 0.05. State the null and alternative hypotheses. O Ho: B2 < 0 O Ho: B2 > 0 H: B2 s0 O Ho: B2 + 0 H: B2 = 0 O Ho: B2 = 0 H: 82 > 0 O Ho: 82 = 0 H: B2 * 0 Find the value of the test statistic. (Round your answer to two decimal places.)
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