If only one variable has had values observed, then the sample mean is a single number ( the arithmetic average of the observed values of that variable ) and the sample covariance matrix is also simply a single value ( a 1x1 matrix containing a single number, the sample variance of the observed values of that variable ).
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In fact I am going to use a further refinement-instead of just using the square, I am going to estimate the exact power to use by disregarding each of the ten spot heights in turn, and finding what the power is that best predicts the disregarded spot height from the nine known spot heights, and then calculate the arithmetic average of these ten powers.
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