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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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