ou may need to use the appropriate technology to answer this question. Consider the following data for a dependent variable y and two independent variables, x1 and x2. 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 16 210
ou may need to use the appropriate technology to answer this question. Consider the following data for a dependent variable y and two independent variables, x1 and x2. 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 16 210
ou may need to use the appropriate technology to answer this question. Consider the following data for a dependent variable y and two independent variables, x1 and x2. 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 16 210
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, x1 and x2.
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
210
The estimated regression equation for these data is
ŷ = −18.21 + 2.01x1 + 4.72x2.
Here, SST = 15,134.9, SSR = 13,994.6,
sb1 = 0.2482, and sb2 = 0.9524.
(a)
Test for a significant relationship among
x1, x2, and y.
Use ? = 0.05.
State the null and alternative hypotheses.
H0: β1 < β2 Ha: β1 ≥ β2H0: β1 > β2 Ha: β1 ≤ β2H0: β1 = β2 = 0 Ha: One or more of the parameters is not equal to zero.H0: β1 ≠ 0 and β2 = 0 Ha: β1 = 0 and β2 ≠ 0H0: β1 ≠ 0 and β2 ≠ 0 Ha: One or more of the parameters is equal to zero.
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.
Reject H0. There is sufficient evidence to conclude that there is a significant relationship among the variables.Do not reject H0. There is sufficient evidence to conclude that there is a significant relationship among the variables. Reject H0. There is insufficient evidence to conclude that there is a significant relationship among the variables.Do not reject H0. There is insufficient evidence to conclude that there is a significant relationship among the variables.
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 H0. There is sufficient evidence to conclude that β1 is significant.Do not reject H0. There is insufficient evidence to conclude that β1 is significant. Reject H0. There is insufficient evidence to conclude that β1 is significant.Reject H0. There is sufficient evidence to conclude that β1 is significant.
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.
Reject H0. There is insufficient evidence to conclude that β2 is significant.Reject H0. There is sufficient evidence to conclude that β2 is significant. Do not reject H0. There is insufficient evidence to conclude that β2 is significant.Do not reject H0. There is sufficient evidence to conclude that β2 is significant.
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