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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 7E
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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
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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