Exercise: Head circumference, sex, and height, answer 8

Question 8: How could we check the assumption of linearity?

Suggested answer

We can check the assumption of linearity by adding a height squared term:

      Head (mm)   =   94.7  +   0.449×height (mm)   -   0.000104×height squared (mm2)   +   7.23×sex
95% CI            -621.9 to 811.4     -0.389 to 1.287         -0.000349 to 0.000142             -0.70 to 15.12
                                                            P=0.8                               P=0.3                                 P=0.4

In tabular form, the coefficients are:

Predictor Coefficient         P     95% CI
intercept 94.7 0.8 -621.9 to 811.4
height 0.449 0.3 -0.389 to 1.287
height squared -0.000104 0.4         -0.000349 to 0.000142
sex 7.23 0.07 -0.70 to 15.12


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