(b) Is 8, significant? Use a = 0.05.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Chapter5: A Survey Of Other Common Functions
Section5.6: Higher-degree Polynomials And Rational Functions
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(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:(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.
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
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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