O Ho: B1 > B2 O Hoi Bq < Bz 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 Ho. There is insufficient evidence to conclude that there is a significant relationship among the variable O Reject Ho. There is insufficient evidence to conclude that there is a significant relationship among the variables. O Reject Ho. 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. Is B, significant? Use a = 0.05. State the null and alternative hypotheses. Hoi Bz = Hai ß1 # 0 Ho: Bq < 0 O Hoi B1 # 0 Hai Bq = 0 Ho: B1 > 0 Hai Bq sO O Hoi B1 = 0 Hai Bq > 0 Find the value of the test statistic. (Round your answer to two decimal places.)

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O Ho: B1 > B2
H3: B1 s B2
O Ho: B1 < B2
Ha: B1 2 B2
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 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.
Reject Ho. There is sufficient evidence to conclude that there is a significant relationship among the variables.
0'
Do not 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.
Ho: B1
Ha: B, + 0
= 0
O Ho: B1 < 0
Ha: B, 2 0
1
Ho: B, + 0
Hai B1 = 0
O Ho: B1 > 0
Ha: B1 s0
Ho: B1
H: B, > 0
= 0
Find the value of the test statistic. (Round your answer to two decimal places.)
Transcribed Image Text:O Ho: B1 > B2 H3: B1 s B2 O Ho: B1 < B2 Ha: B1 2 B2 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 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. Reject Ho. There is sufficient evidence to conclude that there is a significant relationship among the variables. 0' Do not 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. Ho: B1 Ha: B, + 0 = 0 O Ho: B1 < 0 Ha: B, 2 0 1 Ho: B, + 0 Hai B1 = 0 O Ho: B1 > 0 Ha: B1 s0 Ho: B1 H: B, > 0 = 0 Find the value of the test statistic. (Round your answer to two decimal places.)
Consider the following data for a dependent variable y and two independent variables, x, and x,.
X1 X2
y
12
30
92
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
ŷ = -20.08 + 2.04x, + 4.77x2'
Here, SST
15,514.0, SSR =
14,359.4, s;
= 0.2497,
and
= 0.9584.
zas
(a) Test for a significant relationship among x,, x2, and y. Use a = 0.05.
State the null and alternative hypotheses.
Но: В + 0 and B, # 0
: One or more of the parameters is equal to zero.
Hai
Ho: B1
B2
%|
= 0
H: One or more of the parameters is not equal to zero.
Ho: B1 + 0 and ß, = 0
H: B1
O and B, + 0
O Ho: B1 > B2
1
O Hoi B1 < B2
Transcribed Image Text:Consider the following data for a dependent variable y and two independent variables, x, and x,. X1 X2 y 12 30 92 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 ŷ = -20.08 + 2.04x, + 4.77x2' Here, SST 15,514.0, SSR = 14,359.4, s; = 0.2497, and = 0.9584. zas (a) Test for a significant relationship among x,, x2, and y. Use a = 0.05. State the null and alternative hypotheses. Но: В + 0 and B, # 0 : One or more of the parameters is equal to zero. Hai Ho: B1 B2 %| = 0 H: One or more of the parameters is not equal to zero. Ho: B1 + 0 and ß, = 0 H: B1 O and B, + 0 O Ho: B1 > B2 1 O Hoi B1 < B2
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