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 X2. 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 16 209 The estimated regression equation for these data is ŷ = -16.50 + 1.98x, + 4.69x2. Here, SST = 14,812.0, SSR = 13,691.5, sp. = 0.2460, and s,, = 0.9441.

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You may need to use the appropriate technology to answer this question.
= 0.2460, and Sb2
Consider the following data for a dependent variable y and two independent variables, x, and x,.
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
209
The estimated regression equation for these data is
ý = -16.50 + 1.98x, + 4.69x,.
Here, SST = 14,812.0, SSR = 13,691.5,
= 0.9441.
Tas
Transcribed Image Text:You may need to use the appropriate technology to answer this question. = 0.2460, and Sb2 Consider the following data for a dependent variable y and two independent variables, x, and x,. 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 16 209 The estimated regression equation for these data is ý = -16.50 + 1.98x, + 4.69x,. Here, SST = 14,812.0, SSR = 13,691.5, = 0.9441. Tas
(c) Is B, significant? Use a = 0.05.
State the null and alternative hypotheses.
O Ho: B2 * 0
Ha: B2 = 0
%3D
O Ho: B, > 0
H3: B2 < 0
O Hoi B2 = 0
H3: B2 > 0
O Ho: B2 < 0
Ha: B2 2 0
O Ho: B2 = 0
H: B2 # 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.
Reject Ho. There is sufficient evidence to conclude that B, is significant.
O Reject H. There is insufficient evidence to conclude that B, is significant.
O Do not reject Ho. There is insufficient evidence to conclude that B2 is significant.
Do not reject Ho: There is sufficient evidence to conclude that ß, is significant.
Transcribed Image Text:(c) Is B, significant? Use a = 0.05. State the null and alternative hypotheses. O Ho: B2 * 0 Ha: B2 = 0 %3D O Ho: B, > 0 H3: B2 < 0 O Hoi B2 = 0 H3: B2 > 0 O Ho: B2 < 0 Ha: B2 2 0 O Ho: B2 = 0 H: B2 # 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. Reject Ho. There is sufficient evidence to conclude that B, is significant. O Reject H. There is insufficient evidence to conclude that B, is significant. O Do not reject Ho. There is insufficient evidence to conclude that B2 is significant. Do not reject Ho: There is sufficient evidence to conclude that ß, is significant.
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