Consider the following data for a dependent variable y and two independent variables, 1 and 2. x1 29 46 25 50 41 51 74 37 60 76 X2 13 11 18 16 5 19 8 12 13 17 Y 95 109 113 179 94 175 170 118 143 212

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 6PPS
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Consider the following data for a dependent variable y and two independent variables, ₁ and €2.
x1
29
46
The p-value is less than 0.01
At a = 0.05, the overall model is significant
b. Is ₁ significant? Use a = 0.05 (to 2 decimals). Use t table.
to₁
The p-value is less than 0.01
At a = 0.05, B₁ is
✓ significant.
c. Is 6₂ significant? Use a = 0.05 (to 2 decimals). Use t table.
tp₂
The p-value is Select your answer -
At a = 0.05, B₂ - Select your answer - significant.
The estimated regression equation for these data is
ŷ = -19.32 +1.98x1 +4.78*2
Here SST = 15,147.6, SSR = 13,866.4, sh = 0.2621, and Sb₂
a. Test for a significant relationship among 1, 2, and y. Use a =
0.05.
F = 55.41 (to 2 decimals)
=
25
50
=
41
51
74
37
60
76
= 1.0112.
X2
13
11
18
16
5
19
8
12
13
17
Y
95
109
113
179
94
175
170
118
143
212
Transcribed Image Text:Consider the following data for a dependent variable y and two independent variables, ₁ and €2. x1 29 46 The p-value is less than 0.01 At a = 0.05, the overall model is significant b. Is ₁ significant? Use a = 0.05 (to 2 decimals). Use t table. to₁ The p-value is less than 0.01 At a = 0.05, B₁ is ✓ significant. c. Is 6₂ significant? Use a = 0.05 (to 2 decimals). Use t table. tp₂ The p-value is Select your answer - At a = 0.05, B₂ - Select your answer - significant. The estimated regression equation for these data is ŷ = -19.32 +1.98x1 +4.78*2 Here SST = 15,147.6, SSR = 13,866.4, sh = 0.2621, and Sb₂ a. Test for a significant relationship among 1, 2, and y. Use a = 0.05. F = 55.41 (to 2 decimals) = 25 50 = 41 51 74 37 60 76 = 1.0112. X2 13 11 18 16 5 19 8 12 13 17 Y 95 109 113 179 94 175 170 118 143 212
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