If the study of the effect of body mass index (x) on the probability that someone will suffer from heart disease () with variables if you don't have heart disease if you have heart disease x = { 1 0₁ the estimated regression equation is obtained 7w = B₂ + B₁₂ X. Based on the data in the table, you want tote to test the hypothesis Ho : B₁₂ = 0 Significance level of 2 = 5% and H₁₂ : B₁ #0 at a can be done as follows. af Determine the test statisfic by completing the following ANAVA table Source of variation Regression Misguided total db ? ? 11 JK ? ? 37, 179 RK 19,029 ? b. Calculate the coefficient of determination R² C/ Determine the test rejection area and give the test ?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 49E
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No
X
Y
1
24
0
2
24
1
3
25
1
4
25
1
5
30
0
6
31
0
7
27
1
8
9
31 26
0
1
10
25
1
11
30
0
12
31
0
Transcribed Image Text:No X Y 1 24 0 2 24 1 3 25 1 4 25 1 5 30 0 6 31 0 7 27 1 8 9 31 26 0 1 10 25 1 11 30 0 12 31 0
If the study of the effect of body mass index (x) on the probability
that someone will suffer from heart disease () with variables
if you don't have heart disease
if you have heart disease
Y
-
0
the estimated regression equation is obtained
7w =B₁ + B₁₂ X.
at a
Based on the data in the table, you want the to test
and H₁₂ : B₁₂ #0
the hypothesis Ho : B₁ = 0
Significance level of 2 = 5%
can be done as follows.
a. Determine the ‡ test statistic by completing the following
ANAVA table
Source of variation
Regression
Misguided
total
db
?
?
11
JK
?
?
37, 179
RK
19,029
?
b. Calculate the coefficient of determination R²
Cof
C/ Determine the test rejection area and give the test
Conclusion
F
?
Transcribed Image Text:If the study of the effect of body mass index (x) on the probability that someone will suffer from heart disease () with variables if you don't have heart disease if you have heart disease Y - 0 the estimated regression equation is obtained 7w =B₁ + B₁₂ X. at a Based on the data in the table, you want the to test and H₁₂ : B₁₂ #0 the hypothesis Ho : B₁ = 0 Significance level of 2 = 5% can be done as follows. a. Determine the ‡ test statistic by completing the following ANAVA table Source of variation Regression Misguided total db ? ? 11 JK ? ? 37, 179 RK 19,029 ? b. Calculate the coefficient of determination R² Cof C/ Determine the test rejection area and give the test Conclusion F ?
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