sider the following data for a dependent variable y and two independent variables, #1 and 2. x1 30 47 24 50 40 52 I2 12 11 18 16 6 20 Y 94 109 112 179 95 176
sider the following data for a dependent variable y and two independent variables, #1 and 2. x1 30 47 24 50 40 52 I2 12 11 18 16 6 20 Y 94 109 112 179 95 176
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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![Consider the following data for a dependent variable y and two independent variables, ₁ and €2.
The estimated regression equation for these data is
ŷ 14.61 +1.90x1 +4.63x2
Here SST = 15,379.6, SSR 13,898.3, sb₁ = 0.2734, and sb₂ = 1.0892.
a. Test for a significant relationship among 1, 2, and y. Use a = 0.05.
F =
(to 2 decimals)
The p-value is
-Select your answer
At a = 0.05, the overall model is
Select your answer
b. Is ₁ significant? Use a = 0.05 (to 2 decimals). Use t table.
t₁ =
The p-value is
Select your answer -
At a = 0.05, B₁
- Select your answer ✓ significant.
c. Is B₂ significant? Use a = 0.05 (to 2 decimals). Use t table.
tB₂ =
The p-value is
At a = 0.05, B₂
- Select your answer
Select your answer ✓ significant.
x1
30
47
24
50
40
52
75
36
60
77
X2
12
11
18
16
6
20
8
12
14
17
Y
94
109
112
179
95
176
171
117
143
212](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F495ad580-3e5b-41d4-8f15-efaf901c5b2d%2Fe8863fa8-f3e2-4665-8cac-a142f1afcc57%2Fgua3qz_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following data for a dependent variable y and two independent variables, ₁ and €2.
The estimated regression equation for these data is
ŷ 14.61 +1.90x1 +4.63x2
Here SST = 15,379.6, SSR 13,898.3, sb₁ = 0.2734, and sb₂ = 1.0892.
a. Test for a significant relationship among 1, 2, and y. Use a = 0.05.
F =
(to 2 decimals)
The p-value is
-Select your answer
At a = 0.05, the overall model is
Select your answer
b. Is ₁ significant? Use a = 0.05 (to 2 decimals). Use t table.
t₁ =
The p-value is
Select your answer -
At a = 0.05, B₁
- Select your answer ✓ significant.
c. Is B₂ significant? Use a = 0.05 (to 2 decimals). Use t table.
tB₂ =
The p-value is
At a = 0.05, B₂
- Select your answer
Select your answer ✓ significant.
x1
30
47
24
50
40
52
75
36
60
77
X2
12
11
18
16
6
20
8
12
14
17
Y
94
109
112
179
95
176
171
117
143
212
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