Consider the following data for a dependent variable y and two independent variables, ¤1 and ¤2. 30 12 94 47 11 109 25 17 113 50 17 178 40 6 95 52 20 175 75 8 171 37 12 118 60 13 143 76 16 211 The estimated regression equation for these data is ŷ = -20.03 + 1.95x1 + 4.92x2 Here SST = 14,990.1, SSR = 13,918.4, 8, = 0.2382, and si, = 0.9506. a. Test for a significant relationship among #1, x2, and y. Use a = 0.05. F = 45.46 (to 2 decimals) The p-value is less than 0.01 At a = 0.05, the overall model is significant b. Is B1 significant? Use a = 0.05 (to 2 decimals). Use t table. te, = The p-value is less than 0.01
Consider the following data for a dependent variable y and two independent variables, ¤1 and ¤2. 30 12 94 47 11 109 25 17 113 50 17 178 40 6 95 52 20 175 75 8 171 37 12 118 60 13 143 76 16 211 The estimated regression equation for these data is ŷ = -20.03 + 1.95x1 + 4.92x2 Here SST = 14,990.1, SSR = 13,918.4, 8, = 0.2382, and si, = 0.9506. a. Test for a significant relationship among #1, x2, and y. Use a = 0.05. F = 45.46 (to 2 decimals) The p-value is less than 0.01 At a = 0.05, the overall model is significant b. Is B1 significant? Use a = 0.05 (to 2 decimals). Use t table. te, = The p-value is less than 0.01
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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How would i solve for the tb1
Transcribed Image Text:Consider the following data for a dependent variable y and two independent variables, x1 and *2 .
x2
30
12
94
47
11
109
25
17
113
50
17
178
40
6
95
52
20
175
75
171
37
12
118
60
13
143
76
16
211
The estimated regression equation for these data is
ŷ = -20.03 + 1.95x1 + 4.92x2
Here SST = 14,990.1 , SSR = 13,918.4, 8i, = 0.2382, and sin = 0.9506.
a. Test for a significant relationship among a1, x2, and y. Use a = 0.05.
F =
45.46
(to 2 decimals)
The p-value is less than 0.01
At a = 0.05, the overall model is significant
b. Is B1 significant? Use a = 0.05 (to 2 decimals). Use t table.
te, =
The p-value is less than 0.01
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