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Using the given information about the regression equation with corresponding ANOVA table, the significance relationship between body mass index and the total cholesterol level, adjusting for just physical activity level has been tested.

Several regression models were fitted to assess the relationship of total cholesterol (Y in mg/dL) to age (X₁, in years), body mass index (X₂, in kg/m2), and physical activity level (X₃, coded 1 for active, 0 sedentary) among 110 subjects. Shown below are abbreviated ANOVA tables and the corresponding fitted regression equations.

1.

Source	DF	SS	= 107.33 + 1.43X1 + 2.83X2 - 15.09X3
Regression	3	22452.89
Residual	106	180257.36

2.

Source	DF	SS	= 101.41 + 1.33X1 + 3.13X2
Regression	2	19028.97
Residual	107	183681.28

3.

Source	DF	SS	= 179.46 + 1.49X1 - 20.13X3
Regression	2	11908.07
Residual	107	190802.18

4.

Source	DF	SS	= 175.12 + 2.89X2 - 13.27X3
Regression	2	16384.19
Residual	107	186326.06

5.

Source	DF	SS	= 182.11 + 1.37X1
Regression	1	5586.43
Residual	108	197123.82

6.

Source	DF	SS	= 165.80 + 3.16X2
Regression	1	13712.87
Residual	108	188997.38

7.

Source	DF	SS	= 252.10 - 18.36X3
Regression	1	5300.23
Residual	108	1974100.02

Test the significance of the relationship between body mass index and total cholesterol, adjusting for just physical activity level. Interpret your result.

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