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A Table of Intermediate Calculations Individual(i) xi xix (xix) yi yiy (yiy)2(yiy)2 (xix)(yiy) y^(xi)y^(xi) ii i2i2 1 6.868 6.8 2 12.718 7.9 3 20.895 11.6
A Table of Intermediate Calculations | ||||||||||
Individual(i) | xi | xix | (xix) | yi | yiy | (yiy)2(yiy)2 | (xix)(yiy) | y^(xi)y^(xi) | ii | i2i2 |
1 | 6.868 | 6.8 | ||||||||
2 | 12.718 | 7.9 | ||||||||
3 | 20.895 | 11.6 | ||||||||
4 | 31.044 | 12.3 | ||||||||
5 | 14.673 | 10.8 | ||||||||
Total | --- | --- | --- | --- |
- Calculate the mean trunk fat.
x=
- Calculate the trunk fat variance.
sx2=
- Calculate the standard deviation of the trunk fat.
sx=
- Calculate the mean insulin units.
y=
- Calculate the insulin unit variance.
sy2=
- Calculate the standard deviation of the insulin units.
sy=
- Calculate the covariation between the trunk fat and the insulin units.
COV(x, y)=
- Calculate the correlation between the trunk fat and the insulin units.
r=
- What is the strength of the linear association (strong, weak)?
The linear association is
- Calculate the slope of the linear regression model.
b=
- Calculate the vertical coordinate of the y-intercept of the regression model.
a=
- Write the linear regression model.
y^(x)=
- Calculate the residual standard error.
=
- In one sentence, explain why the linear regression model is the best linear model.
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