A linear model has a design matrix that is a 66×7 matrix. Calculate the average leverage to two decimal places.

The average leverage for a linear model with design matrix X is given by the formula:

$avg.\; leverage = \frac{p}{n}$

where p is the number of columns in X (i.e., the number of parameters in the model) and n is the number of rows in X (i.e., the number of observations).

In this case, p = 7 and n = 66, so:

$avg.\; leverage = \frac{7}{66} \approx 0.11$

Therefore, the average leverage for this linear model is approximately 0.11, rounded to two decimal places.