Results Linear Regression Model Summary - bmi-y Model R R² Adjusted R² RMSE Ho 0.000 0.000 0.000 5.655 H₁ 0.081 0.007 0.002 5.651 ANOVA Model Sum of Squares df Mean Square F P H₁ Regression 41.910 1 Residual Total 6322.327 198 41.910 1.313 0.253 31.931 6364.236 199 Note. The intercept model is omitted, as no meaningful information can be shown. Coefficients Model Unstandardized Standard Error Standardized t р Ho (Intercept) 30.634 0.400 76.608 < .001 H₁ (Intercept) Income-x 31.728 -3.638x10-7 1.035 3.175x10-7 30.653 < .001 -0.081 -1.146 0.253

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 37E
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Using the F-statistic with the significance level (α) of 5%, assess the significance of the regression model from the attached image.

Include formulas, equations and numerical calculations.

Results
Linear Regression
Model Summary - bmi-y
Model
R
R²
Adjusted R² RMSE
Ho
0.000 0.000
0.000
5.655
H₁
0.081 0.007
0.002
5.651
ANOVA
Model
Sum of Squares
df
Mean Square
F
P
H₁
Regression
41.910
1
Residual
Total
6322.327
198
41.910 1.313 0.253
31.931
6364.236
199
Note. The intercept model is omitted, as no meaningful information can be shown.
Coefficients
Model
Unstandardized
Standard Error Standardized
t
р
Ho
(Intercept)
30.634
0.400
76.608
< .001
H₁
(Intercept)
Income-x
31.728
-3.638x10-7
1.035
3.175x10-7
30.653
< .001
-0.081
-1.146
0.253
Transcribed Image Text:Results Linear Regression Model Summary - bmi-y Model R R² Adjusted R² RMSE Ho 0.000 0.000 0.000 5.655 H₁ 0.081 0.007 0.002 5.651 ANOVA Model Sum of Squares df Mean Square F P H₁ Regression 41.910 1 Residual Total 6322.327 198 41.910 1.313 0.253 31.931 6364.236 199 Note. The intercept model is omitted, as no meaningful information can be shown. Coefficients Model Unstandardized Standard Error Standardized t р Ho (Intercept) 30.634 0.400 76.608 < .001 H₁ (Intercept) Income-x 31.728 -3.638x10-7 1.035 3.175x10-7 30.653 < .001 -0.081 -1.146 0.253
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